Benchmark analysis for Spatial GRF
Manh Hung LE
2026-04-06
Source:vignettes/benchmark.Rmd
benchmark.RmdIntroduction
This vignette presents a benchmark of the LearnerRegrGRF (Geographical Weighted Random Forest) against standard regression models (such as Featureless, CV_Glmnet and KNN). We evaluate the models using two datasets with spatial coordinates to evaluate our learner.
Setup and datasets
We are using California Housing (subsampled to 200 points) and Income for our two datasets with spatial coordinates. The mlr3spatiotempcv package is also used to define these as Spatio-Temporal regression tasks.
library(mlr3)
library(mlr3spatiotempcv)
library(mlr3learners)
library(mlr3tuning)
library(SpatialML)
library(mlr3learners.spatialML)
library(data.table)
library(ggplot2)
library(future)
task_list <- list()
sample_size_california <- 200
seed_value <- 1
# California Housing Task
california_dt <- mlr3::tsk("california_housing")$data()
california_dt <- california_dt[complete.cases(california_dt), ]
set.seed(seed_value)
california_dt <- california_dt[sample(.N, sample_size_california), ]
california_dt$ocean_proximity <- NULL
task_list[["California"]] <- as_task_regr_st(
california_dt,
target = "median_house_value",
coordinate_names = c("longitude", "latitude"),
id = "California_Housing"
)
# Income Task
data(Income, package = "SpatialML")
income_df <- as.data.frame(Income)
task_list[["Income"]] <- as_task_regr_st(
income_df,
target = "Income01",
coordinate_names = c("X", "Y"),
id = "Income"
)Learners Configuration
As mentionned before, we are comparing four learners: our GRF, a Featureless model, a Linear Model (CV_Glmnet) and a tuned KNN.
grf_bw <- 20
grf_ntree <- 50
# Learners definition
grf_lrn <- lrn("regr.grf", bw = grf_bw, ntree = grf_ntree, id = "GRF")
featureless_lrn <- lrn("regr.featureless", id = "featureless")
cv_glmnet_lrn <- lrn("regr.cv_glmnet", id = "cv_glmnet")
knn_lrn <- lrn("regr.kknn", id = "knn")
knn_lrn$param_set$values$k <- paradox::to_tune(1, 30)
kfoldcv <- mlr3::rsmp("cv")
kfoldcv$param_set$values$folds <- 3
knn_tuned_lrn <- mlr3tuning::auto_tuner(
learner = knn_lrn,
tuner = mlr3tuning::tnr("grid_search"),
resampling = kfoldcv,
measure = mlr3::msr("regr.rmse")
)
learners <- list(
grf_lrn,
featureless_lrn,
knn_tuned_lrn,
cv_glmnet_lrn
)Benchmark
To evaluate the performance, we run the benchmark locally using the future package for parallel processing. This allows us to execute the 5-fold cross-validation across all learners and tasks efficiently.
library(future)
cv <- mlr3::rsmp("cv", folds = 5)
bench_grid <- mlr3::benchmark_grid(
tasks = task_list,
learners = learners,
resampling = cv
)
if(require(future)) {
plan("multisession", workers = 4)
}
bench_results <- suppressWarnings(
mlr3::benchmark(bench_grid, store_models = FALSE)
)
#> Ranger result
#>
#> Call:
#> ranger(median_house_value ~ households + housing_median_age + median_income + population + total_bedrooms + total_rooms, data = structure(list(households = c(753, 377, 238, 377, 261, 1634, 463, 259, 596, 556, 1597, 528, 607, 190, 893, 430, 405, 347, 241, 484, 516, 177, 173, 323, 23, 491, 774, 516, 339, 265, 91, 631, 2127, 315, 216, 348, 440, 322, 123, 354, 280, 527, 299, 530, 1772, 391, 137, 516, 272, 411, 416, 305, 288, 150, 715, 817, 297, 509, 1124, 583, 267, 353, 312, 794, 434, 217, 498, 249, 363, 831, 307, 178, 162, 1036, 301, 416, 61, 431, 669, 642, 987, 261, 124, 430, 40, 513, 68, 363, 885, 1243, 426, 1268, 19, 342, 370, 414, 347, 572, 1180, 1909, 518, 137, 437, 509, 462, 706, 267, 390, 222, 147, 315, 196, 1457, 1393, 438, 656, 415, 331, 922, 362, 2221, 504, 557, 117, 503, 151, 583, 140, 581, 455, 319, 473, 332, 133, 312, 235, 654, 563, 316, 1163, 658, 95, 903, 245, 418, 209, 1568, 376, 272, 333, 178, 1944, 287, 860, 297, 325, 1258, 291, 939, 320), housing_median_age = c(29, 35, 33, 37, 37, 16, 43, 42, 6, 32, 35, 43, 35, 9, 24, 52, 10, 10, 31, 32, 34, 52, 45, 33, 41, 23, 20, 32, 42, 32, 16, 13, 30, 29, 35, 31, 36, 19, 41, 37, 42, 15, 52, 22, 13, 44, 35, 16, 52, 18, 15, 16, 35, 25, 15, 26, 29, 19, 23, 50, 37, 38, 52, 10, 17, 34, 41, 52, 22, 15, 36, 37, 16, 27, 31, 22, 10, 30, 20, 18, 20, 23, 38, 27, 38, 37, 27, 32, 17, 30, 32, 24, 41, 43, 13, 30, 52, 25, 24, 16, 29, 49, 43, 47, 30, 13, 41, 32, 38, 36, 29, 36, 31, 5, 34, 14, 45, 37, 19, 17, 6, 16, 32, 21, 30, 19, 35, 20, 35, 29, 47, 50, 45, 33, 37, 43, 7, 30, 43, 10, 11, 26, 34, 36, 24, 44, 21, 25, 19, 46, 21, 25, 23, 25, 33, 43, 35, 16, 18, 46), median_income = c(0.8351, 5.8371, 1.2171, 2.4672, 7.5794, 2.5553, 1.7991, 2.7273, 4.6053, 2.3942, 4.1776, 2.5714, 2.5787, 7.5, 4.2852, 3.3702, 4.3424, 2.7031, 1.7292, 3.7784, 2.8365, 2.2125, 4.2708, 4.0385, 5.25, 2.93, 3.3021, 2.7188, 2.6667, 1.5, 4, 4.2137, 1.51, 4.0313, 7.8543, 2.7243, 1.125, 3.7361, 5.2289, 1.9107, 3.0096, 4.2422, 2.2083, 4.3419, 4.8052, 1.8932, 5.25, 3.668, 6.2223, 2.7344, 11.1121, 6.0198, 4.5595, 7.1472, 1.0617, 2.2577, 1.1818, 3.944, 5.4155, 1.6505, 3.1989, 2.5104, 2, 8.7991, 2.71, 3.8906, 3.6845, 6.07, 1.6488, 7.4678, 4.095, 1.6645, 2.56, 3.3906, 4.0231, 3.725, 2.1964, 4.7917, 2.4211, 5.6345, 3.2388, 5.3994, 1.7386, 5.0822, 2.3942, 2.4394, 5.3946, 2.8365, 3.6619, 2.8889, 7.1198, 4.6649, 2.225, 3.2708, 2.5446, 3.5391, 11.5609, 5.7705, 2.2652, 3.0606, 2.2409, 5.2128, 7.9614, 3.6475, 8.2374, 2.6417, 4.6125, 4.125, 3.6625, 2.2031, 6.6605, 5.0275, 1.9066, 5.305, 5.4727, 4.1862, 2.6667, 2.675, 3.5112, 4.7813, 3.3799, 3.3368, 4.6424, 10.7237, 2.5833, 4.0556, 7.2096, 3.9632, 4.3571, 5.5347, 1.3785, 1.6424, 3.1445, 5.5, 2.5592, 2.81, 4.625, 3.4871, 2.1522, 4.1099, 2.5374, 1.7019, 2.9564, 5.3131, 4.3859, 3.7344, 3.6797, 7.2655, 5.6139, 3.43, 2.125, 4.5592, 6.3199, 4.1865, 4.6713, 1.4189, 6.1724, 3.0739, 1.3375, 3.4643), population = c(2114, 724, 850, 645, 791, 2592, 1687, 799, 1993, 1549, 5380, 1322, 1883, 682, 2315, 784, 818, 643, 600, 1580, 1517, 479, 492, 1412, 61, 1029, 2088, 1337, 1295, 600, 271, 1915, 4123, 724, 701, 681, 1437, 871, 266, 972, 608, 1261, 637, 2491, 4518, 1345, 589, 1696, 588, 999, 1289, 1221, 1134, 486, 2120, 3792, 1054, 1463, 4014, 2247, 939, 882, 1026, 1900, 976, 774, 1666, 696, 1272, 2009, 1225, 842, 355, 3496, 1476, 1395, 161, 1837, 1534, 2381, 1637, 910, 676, 1144, 142, 1134, 195, 1145, 1656, 1910, 793, 3418, 68, 1065, 994, 1500, 1152, 1640, 2421, 5913, 1014, 331, 1033, 1262, 978, 1796, 676, 1199, 637, 425, 859, 639, 5666, 4768, 1422, 1192, 1260, 492, 1807, 1057, 4176, 1370, 1230, 323, 1796, 382, 1305, 448, 1757, 686, 843, 1131, 633, 373, 888, 839, 1932, 2192, 1418, 3176, 1456, 448, 2479, 668, 971, 452, 3240, 1145, 866, 796, 451, 4458, 978, 2725, 795, 1417, 3450, 731, 2707, 870), total_bedrooms = c(867, 428, 288, 377, 285, 1816, 472, 260, 598, 637, 1646, 516, 662, 177, 968, 472, 450, 397, 263, 521, 557, 180, 165, 337, 20, 525, 795, 551, 300, 315, 327, 610, 2446, 355, 223, 348, 513, 328, 141, 385, 256, 567, 309, 581, 1823, 389, 128, 525, 284, 663, 451, 300, 302, 162, 774, 970, 291, 529, 1255, 673, 266, 385, 354, 1157, 453, 215, 514, 239, 358, 892, 301, 221, 147, 1082, 280, 441, 63, 446, 732, 614, 1062, 267, 133, 464, 36, 546, 60, 385, 854, 1312, 504, 1330, 20, 358, 366, 536, 371, 575, 1283, 2043, 545, 136, 449, 565, 499, 847, 269, 384, 221, 166, 327, 193, 1492, 1557, 515, 687, 461, 327, 1092, 386, 4522, 535, 550, 117, 531, 328, 613, 121, 594, 523, 307, 492, 331, 123, 321, 236, 727, 591, 320, 1309, 727, 114, 897, 251, 481, 201, 1634, 393, 268, 337, 194, 2022, 280, 934, 254, 308, 1307, 300, 1021, 303), total_rooms = c(2438, 2067, 1210, 1189, 1795, 6075, 2006, 1276, 3655, 2723, 7067, 2608, 2517, 1302, 4865, 1968, 2296, 1564, 1277, 2892, 2364, 907, 886, 1624, 80, 1906, 3870, 2844, 1411, 1312, 1347, 3252, 5293, 1526, 1293, 1432, 1954, 1621, 685, 1607, 1067, 2298, 1452, 3015, 8918, 1870, 793, 2792, 1621, 2912, 3236, 2240, 1625, 1142, 2422, 2929, 1040, 3038, 7353, 2238, 1053, 2005, 1718, 7374, 2280, 1293, 1904, 1576, 1298, 5480, 1660, 973, 712, 5257, 1205, 2263, 304, 2246, 2572, 3611, 4084, 1310, 512, 2859, 123, 2344, 336, 1950, 4324, 4524, 3152, 7141, 98, 1823, 1524, 2165, 2954, 3715, 4443, 10072, 2030, 792, 2492, 2530, 3652, 4110, 1608, 2399, 1246, 613, 2465, 1072, 6145, 7748, 2765, 2673, 1899, 1127, 4920, 2649, 24121, 2493, 3250, 1034, 2287, 1649, 3737, 804, 2891, 1929, 1375, 2082, 1607, 828, 1477, 1004, 4371, 3199, 1091, 7949, 3835, 411, 3659, 1364, 2139, 1167, 6638, 3004, 1852, 1811, 916, 9042, 1983, 5187, 1379, 798, 8814, 1698, 4289, 1686), median_house_value = c(150000, 500001, 59300, 216700, 500001, 178100, 158800, 128600, 150100, 183100, 265300, 70000, 223000, 423200, 173500, 370000, 160600, 150000, 61700, 164500, 139200, 104000, 267000, 167600, 247200, 183300, 152700, 133700, 164900, 91500, 87500, 151700, 187500, 435200, 281900, 218100, 93800, 201400, 384600, 64700, 180800, 159400, 103900, 176300, 254000, 136100, 190200, 171200, 500001, 91900, 493000, 289600, 164900, 270100, 92400, 173800, 83200, 172500, 213200, 125000, 320800, 120500, 128000, 478500, 97800, 141000, 175800, 261800, 117500, 500001, 184000, 94900, 150000, 237200, 139200, 123500, 112500, 164500, 175000, 231000, 256300, 237900, 52000, 327500, 2e+05, 118300, 71800, 87900, 232400, 335300, 469900, 237800, 212500, 131000, 93800, 55900, 500001, 247100, 269200, 119500, 114200, 238600, 500001, 197100, 500001, 122300, 361700, 264600, 184600, 93800, 220700, 179300, 54600, 311200, 238900, 188900, 320000, 241700, 231900, 326800, 239300, 121200, 312700, 500001, 90600, 133000, 490300, 147100, 199800, 500001, 142300, 108900, 438300, 146200, 70300, 103400, 136800, 136400, 159400, 120100, 97200, 350000, 150500, 314100, 271300, 179800, 271100, 494000, 279500, 292900, 63300, 378800, 236700, 154300, 231800, 141700, 414300, 87200, 59600, 136300)), row.names = c(NA, -160L), class = "data.frame"), num.trees = 50L, mtry = 2, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 160
#> Number of independent variables: 6
#> Mtry: 2
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 7387140477
#> R squared (OOB): 0.4976402
#> households housing_median_age median_income population
#> 2.060797e+11 1.562586e+11 1.100759e+12 2.600511e+11
#> total_bedrooms total_rooms
#> 1.975214e+11 2.565310e+11
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -310700.0 -54208.8 -9683.1 178.7 50551.9 295392.5
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -74020.4 -6563.7 -1035.1 -602.1 3113.8 68844.7
#> Min Max Mean StD
#> households 959898113 65486202832 18284565066 14741632494
#> housing_median_age 873412280 82318349503 20357362400 14846805974
#> median_income 2065640820 158140687538 55585431895 41913084399
#> population 1340845576 128900379282 23229156352 22069866117
#> total_bedrooms 788425049 71623342662 18158202061 14647846658
#> total_rooms 1020627655 115618076856 25200483993 24334432505
#>
#> Number of Observations: 160
#> Number of Independent Variables: 6
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 1604427066.769
#> R-squared (Not OOB) %: 89.021
#> AIC (Not OOB): 3405.365
#> AICc (Not OOB): 3406.102
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 10213730590.763
#> R-squared (OOB) %: 30.105
#> AIC (OOB): 3701.52
#> AICc (OOB): 3702.257
#> Mean squared error Predicted (Not OOB): 281836882.487
#> R-squared Predicted (Not OOB) %: 98.071
#> AIC Predicted (Not OOB): 3127.094
#> AICc Predicted (Not OOB): 3127.831
#>
#> Calculation time (in seconds): 4.7094
#> Ranger result
#>
#> Call:
#> ranger(median_house_value ~ households + housing_median_age + median_income + population + total_bedrooms + total_rooms, data = structure(list(households = c(592, 354, 431, 61, 382, 458, 1283, 315, 188, 592, 429, 391, 51, 1205, 407, 688, 332, 278, 183, 160, 134, 273, 404, 316, 300, 190, 260, 780, 610, 528, 245, 384, 455, 130, 722, 549, 501, 496, 797, 483, 280, 527, 299, 530, 1772, 391, 137, 516, 272, 411, 416, 305, 288, 150, 715, 817, 297, 509, 1124, 583, 267, 353, 312, 794, 434, 217, 498, 249, 363, 831, 307, 178, 162, 1036, 301, 416, 61, 431, 669, 642, 987, 261, 124, 430, 40, 513, 68, 363, 885, 1243, 426, 1268, 19, 342, 370, 414, 347, 572, 1180, 1909, 518, 137, 437, 509, 462, 706, 267, 390, 222, 147, 315, 196, 1457, 1393, 438, 656, 415, 331, 922, 362, 2221, 504, 557, 117, 503, 151, 583, 140, 581, 455, 319, 473, 332, 133, 312, 235, 654, 563, 316, 1163, 658, 95, 903, 245, 418, 209, 1568, 376, 272, 333, 178, 1944, 287, 860, 297, 325, 1258, 291, 939, 320), housing_median_age = c(28, 25, 52, 35, 36, 18, 7, 35, 12, 34, 44, 34, 52, 42, 16, 6, 38, 41, 37, 11, 15, 40, 35, 23, 52, 52, 49, 19, 36, 41, 14, 44, 25, 33, 42, 35, 26, 38, 30, 10, 42, 15, 52, 22, 13, 44, 35, 16, 52, 18, 15, 16, 35, 25, 15, 26, 29, 19, 23, 50, 37, 38, 52, 10, 17, 34, 41, 52, 22, 15, 36, 37, 16, 27, 31, 22, 10, 30, 20, 18, 20, 23, 38, 27, 38, 37, 27, 32, 17, 30, 32, 24, 41, 43, 13, 30, 52, 25, 24, 16, 29, 49, 43, 47, 30, 13, 41, 32, 38, 36, 29, 36, 31, 5, 34, 14, 45, 37, 19, 17, 6, 16, 32, 21, 30, 19, 35, 20, 35, 29, 47, 50, 45, 33, 37, 43, 7, 30, 43, 10, 11, 26, 34, 36, 24, 44, 21, 25, 19, 46, 21, 25, 23, 25, 33, 43, 35, 16, 18, 46), median_income = c(2.5048, 3.35, 2.8333, 2.8056, 3.3906, 4.5272, 2.4079, 4.8359, 7.226, 2.2, 6.987, 5.1207, 1.4886, 6.4752, 2.4754, 5.8151, 3.1734, 4.9125, 3.25, 6.1274, 4.8125, 4.2206, 2.4537, 9.1974, 4.3036, 8.1548, 4.3452, 3.1042, 1.6045, 2.1979, 4.7857, 3.025, 3.256, 5.738, 2.3438, 3.788, 3.1859, 4.0057, 5.4746, 6.4696, 3.0096, 4.2422, 2.2083, 4.3419, 4.8052, 1.8932, 5.25, 3.668, 6.2223, 2.7344, 11.1121, 6.0198, 4.5595, 7.1472, 1.0617, 2.2577, 1.1818, 3.944, 5.4155, 1.6505, 3.1989, 2.5104, 2, 8.7991, 2.71, 3.8906, 3.6845, 6.07, 1.6488, 7.4678, 4.095, 1.6645, 2.56, 3.3906, 4.0231, 3.725, 2.1964, 4.7917, 2.4211, 5.6345, 3.2388, 5.3994, 1.7386, 5.0822, 2.3942, 2.4394, 5.3946, 2.8365, 3.6619, 2.8889, 7.1198, 4.6649, 2.225, 3.2708, 2.5446, 3.5391, 11.5609, 5.7705, 2.2652, 3.0606, 2.2409, 5.2128, 7.9614, 3.6475, 8.2374, 2.6417, 4.6125, 4.125, 3.6625, 2.2031, 6.6605, 5.0275, 1.9066, 5.305, 5.4727, 4.1862, 2.6667, 2.675, 3.5112, 4.7813, 3.3799, 3.3368, 4.6424, 10.7237, 2.5833, 4.0556, 7.2096, 3.9632, 4.3571, 5.5347, 1.3785, 1.6424, 3.1445, 5.5, 2.5592, 2.81, 4.625, 3.4871, 2.1522, 4.1099, 2.5374, 1.7019, 2.9564, 5.3131, 4.3859, 3.7344, 3.6797, 7.2655, 5.6139, 3.43, 2.125, 4.5592, 6.3199, 4.1865, 4.6713, 1.4189, 6.1724, 3.0739, 1.3375, 3.4643), population = c(2623, 1150, 1100, 157, 1076, 1454, 2557, 992, 685, 1127, 1219, 970, 124, 2096, 1428, 2071, 880, 753, 726, 386, 440, 932, 1957, 916, 890, 459, 688, 2317, 2175, 2325, 881, 1091, 1127, 258, 3004, 1312, 1921, 1132, 2568, 1700, 608, 1261, 637, 2491, 4518, 1345, 589, 1696, 588, 999, 1289, 1221, 1134, 486, 2120, 3792, 1054, 1463, 4014, 2247, 939, 882, 1026, 1900, 976, 774, 1666, 696, 1272, 2009, 1225, 842, 355, 3496, 1476, 1395, 161, 1837, 1534, 2381, 1637, 910, 676, 1144, 142, 1134, 195, 1145, 1656, 1910, 793, 3418, 68, 1065, 994, 1500, 1152, 1640, 2421, 5913, 1014, 331, 1033, 1262, 978, 1796, 676, 1199, 637, 425, 859, 639, 5666, 4768, 1422, 1192, 1260, 492, 1807, 1057, 4176, 1370, 1230, 323, 1796, 382, 1305, 448, 1757, 686, 843, 1131, 633, 373, 888, 839, 1932, 2192, 1418, 3176, 1456, 448, 2479, 668, 971, 452, 3240, 1145, 866, 796, 451, 4458, 978, 2725, 795, 1417, 3450, 731, 2707, 870), total_bedrooms = c(607, 362, 591, 71, 399, 522, 1336, 311, 187, 610, 438, 385, 68, 1307, 461, 717, 347, 288, 179, 174, 138, 255, 391, 305, 319, 230, 259, 833, 656, 530, 261, 396, 482, 143, 725, 544, 575, 498, 831, 469, 256, 567, 309, 581, 1823, 389, 128, 525, 284, 663, 451, 300, 302, 162, 774, 970, 291, 529, 1255, 673, 266, 385, 354, 1157, 453, 215, 514, 239, 358, 892, 301, 221, 147, 1082, 280, 441, 63, 446, 732, 614, 1062, 267, 133, 464, 36, 546, 60, 385, 854, 1312, 504, 1330, 20, 358, 366, 536, 371, 575, 1283, 2043, 545, 136, 449, 565, 499, 847, 269, 384, 221, 166, 327, 193, 1492, 1557, 515, 687, 461, 327, 1092, 386, 4522, 535, 550, 117, 531, 328, 613, 121, 594, 523, 307, 492, 331, 123, 321, 236, 727, 591, 320, 1309, 727, 114, 897, 251, 481, 201, 1634, 393, 268, 337, 194, 2022, 280, 934, 254, 308, 1307, 300, 1021, 303), total_rooms = c(2360, 1459, 2359, 321, 1940, 2837, 5178, 1724, 1550, 2352, 2890, 1980, 248, 6297, 2150, 4405, 2012, 1766, 775, 1080, 826, 1410, 1582, 2552, 1729, 1495, 1467, 2644, 2332, 2099, 1463, 1701, 1731, 778, 2729, 3137, 2925, 2662, 4781, 3486, 1067, 2298, 1452, 3015, 8918, 1870, 793, 2792, 1621, 2912, 3236, 2240, 1625, 1142, 2422, 2929, 1040, 3038, 7353, 2238, 1053, 2005, 1718, 7374, 2280, 1293, 1904, 1576, 1298, 5480, 1660, 973, 712, 5257, 1205, 2263, 304, 2246, 2572, 3611, 4084, 1310, 512, 2859, 123, 2344, 336, 1950, 4324, 4524, 3152, 7141, 98, 1823, 1524, 2165, 2954, 3715, 4443, 10072, 2030, 792, 2492, 2530, 3652, 4110, 1608, 2399, 1246, 613, 2465, 1072, 6145, 7748, 2765, 2673, 1899, 1127, 4920, 2649, 24121, 2493, 3250, 1034, 2287, 1649, 3737, 804, 2891, 1929, 1375, 2082, 1607, 828, 1477, 1004, 4371, 3199, 1091, 7949, 3835, 411, 3659, 1364, 2139, 1167, 6638, 3004, 1852, 1811, 916, 9042, 1983, 5187, 1379, 798, 8814, 1698, 4289, 1686), median_house_value = c(1e+05, 237500, 414700, 68100, 147800, 221000, 111400, 195600, 255300, 116500, 500001, 310900, 450000, 500001, 157300, 295600, 181600, 140700, 159200, 315900, 173900, 178000, 91500, 500001, 261800, 500001, 260100, 183100, 57300, 140800, 152500, 162300, 214300, 497600, 154300, 136800, 153100, 241600, 226400, 249500, 180800, 159400, 103900, 176300, 254000, 136100, 190200, 171200, 500001, 91900, 493000, 289600, 164900, 270100, 92400, 173800, 83200, 172500, 213200, 125000, 320800, 120500, 128000, 478500, 97800, 141000, 175800, 261800, 117500, 500001, 184000, 94900, 150000, 237200, 139200, 123500, 112500, 164500, 175000, 231000, 256300, 237900, 52000, 327500, 2e+05, 118300, 71800, 87900, 232400, 335300, 469900, 237800, 212500, 131000, 93800, 55900, 500001, 247100, 269200, 119500, 114200, 238600, 500001, 197100, 500001, 122300, 361700, 264600, 184600, 93800, 220700, 179300, 54600, 311200, 238900, 188900, 320000, 241700, 231900, 326800, 239300, 121200, 312700, 500001, 90600, 133000, 490300, 147100, 199800, 500001, 142300, 108900, 438300, 146200, 70300, 103400, 136800, 136400, 159400, 120100, 97200, 350000, 150500, 314100, 271300, 179800, 271100, 494000, 279500, 292900, 63300, 378800, 236700, 154300, 231800, 141700, 414300, 87200, 59600, 136300)), row.names = c(NA, -160L), class = "data.frame"), num.trees = 50L, mtry = 2, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 160
#> Number of independent variables: 6
#> Mtry: 2
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 7285815193
#> R squared (OOB): 0.5331651
#> households housing_median_age median_income population
#> 1.879083e+11 2.114460e+11 1.206817e+12 2.676443e+11
#> total_bedrooms total_rooms
#> 1.807950e+11 2.584922e+11
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -252428 -59634 -10212 2743 48022 336325
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -72567.6 -6781.4 -990.4 -182.9 4976.5 82617.7
#> Min Max Mean StD
#> households 830898624 90128147345 22265634245 19083196569
#> housing_median_age 663217797 86072091573 20611695179 15239737367
#> median_income 3193454796 212557587346 58021348503 46524673262
#> population 444010868 145361793593 26303965865 25845647855
#> total_bedrooms 1374821984 69273104897 21204691844 16855074850
#> total_rooms 688834488 133461652796 30569742114 27282905567
#>
#> Number of Observations: 160
#> Number of Independent Variables: 6
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 1499365355.87
#> R-squared (Not OOB) %: 90.332
#> AIC (Not OOB): 3394.529
#> AICc (Not OOB): 3395.266
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 12025691027.817
#> R-squared (OOB) %: 22.461
#> AIC (OOB): 3727.65
#> AICc (OOB): 3728.387
#> Mean squared error Predicted (Not OOB): 287055634.962
#> R-squared Predicted (Not OOB) %: 98.149
#> AIC Predicted (Not OOB): 3130.03
#> AICc Predicted (Not OOB): 3130.767
#>
#> Calculation time (in seconds): 4.5781
#> Ranger result
#>
#> Call:
#> ranger(median_house_value ~ households + housing_median_age + median_income + population + total_bedrooms + total_rooms, data = structure(list(households = c(592, 354, 431, 61, 382, 458, 1283, 315, 188, 592, 429, 391, 51, 1205, 407, 688, 332, 278, 183, 160, 134, 273, 404, 316, 300, 190, 260, 780, 610, 528, 245, 384, 455, 130, 722, 549, 501, 496, 797, 483, 753, 377, 238, 377, 261, 1634, 463, 259, 596, 556, 1597, 528, 607, 190, 893, 430, 405, 347, 241, 484, 516, 177, 173, 323, 23, 491, 774, 516, 339, 265, 91, 631, 2127, 315, 216, 348, 440, 322, 123, 354, 987, 261, 124, 430, 40, 513, 68, 363, 885, 1243, 426, 1268, 19, 342, 370, 414, 347, 572, 1180, 1909, 518, 137, 437, 509, 462, 706, 267, 390, 222, 147, 315, 196, 1457, 1393, 438, 656, 415, 331, 922, 362, 2221, 504, 557, 117, 503, 151, 583, 140, 581, 455, 319, 473, 332, 133, 312, 235, 654, 563, 316, 1163, 658, 95, 903, 245, 418, 209, 1568, 376, 272, 333, 178, 1944, 287, 860, 297, 325, 1258, 291, 939, 320), housing_median_age = c(28, 25, 52, 35, 36, 18, 7, 35, 12, 34, 44, 34, 52, 42, 16, 6, 38, 41, 37, 11, 15, 40, 35, 23, 52, 52, 49, 19, 36, 41, 14, 44, 25, 33, 42, 35, 26, 38, 30, 10, 29, 35, 33, 37, 37, 16, 43, 42, 6, 32, 35, 43, 35, 9, 24, 52, 10, 10, 31, 32, 34, 52, 45, 33, 41, 23, 20, 32, 42, 32, 16, 13, 30, 29, 35, 31, 36, 19, 41, 37, 20, 23, 38, 27, 38, 37, 27, 32, 17, 30, 32, 24, 41, 43, 13, 30, 52, 25, 24, 16, 29, 49, 43, 47, 30, 13, 41, 32, 38, 36, 29, 36, 31, 5, 34, 14, 45, 37, 19, 17, 6, 16, 32, 21, 30, 19, 35, 20, 35, 29, 47, 50, 45, 33, 37, 43, 7, 30, 43, 10, 11, 26, 34, 36, 24, 44, 21, 25, 19, 46, 21, 25, 23, 25, 33, 43, 35, 16, 18, 46), median_income = c(2.5048, 3.35, 2.8333, 2.8056, 3.3906, 4.5272, 2.4079, 4.8359, 7.226, 2.2, 6.987, 5.1207, 1.4886, 6.4752, 2.4754, 5.8151, 3.1734, 4.9125, 3.25, 6.1274, 4.8125, 4.2206, 2.4537, 9.1974, 4.3036, 8.1548, 4.3452, 3.1042, 1.6045, 2.1979, 4.7857, 3.025, 3.256, 5.738, 2.3438, 3.788, 3.1859, 4.0057, 5.4746, 6.4696, 0.8351, 5.8371, 1.2171, 2.4672, 7.5794, 2.5553, 1.7991, 2.7273, 4.6053, 2.3942, 4.1776, 2.5714, 2.5787, 7.5, 4.2852, 3.3702, 4.3424, 2.7031, 1.7292, 3.7784, 2.8365, 2.2125, 4.2708, 4.0385, 5.25, 2.93, 3.3021, 2.7188, 2.6667, 1.5, 4, 4.2137, 1.51, 4.0313, 7.8543, 2.7243, 1.125, 3.7361, 5.2289, 1.9107, 3.2388, 5.3994, 1.7386, 5.0822, 2.3942, 2.4394, 5.3946, 2.8365, 3.6619, 2.8889, 7.1198, 4.6649, 2.225, 3.2708, 2.5446, 3.5391, 11.5609, 5.7705, 2.2652, 3.0606, 2.2409, 5.2128, 7.9614, 3.6475, 8.2374, 2.6417, 4.6125, 4.125, 3.6625, 2.2031, 6.6605, 5.0275, 1.9066, 5.305, 5.4727, 4.1862, 2.6667, 2.675, 3.5112, 4.7813, 3.3799, 3.3368, 4.6424, 10.7237, 2.5833, 4.0556, 7.2096, 3.9632, 4.3571, 5.5347, 1.3785, 1.6424, 3.1445, 5.5, 2.5592, 2.81, 4.625, 3.4871, 2.1522, 4.1099, 2.5374, 1.7019, 2.9564, 5.3131, 4.3859, 3.7344, 3.6797, 7.2655, 5.6139, 3.43, 2.125, 4.5592, 6.3199, 4.1865, 4.6713, 1.4189, 6.1724, 3.0739, 1.3375, 3.4643), population = c(2623, 1150, 1100, 157, 1076, 1454, 2557, 992, 685, 1127, 1219, 970, 124, 2096, 1428, 2071, 880, 753, 726, 386, 440, 932, 1957, 916, 890, 459, 688, 2317, 2175, 2325, 881, 1091, 1127, 258, 3004, 1312, 1921, 1132, 2568, 1700, 2114, 724, 850, 645, 791, 2592, 1687, 799, 1993, 1549, 5380, 1322, 1883, 682, 2315, 784, 818, 643, 600, 1580, 1517, 479, 492, 1412, 61, 1029, 2088, 1337, 1295, 600, 271, 1915, 4123, 724, 701, 681, 1437, 871, 266, 972, 1637, 910, 676, 1144, 142, 1134, 195, 1145, 1656, 1910, 793, 3418, 68, 1065, 994, 1500, 1152, 1640, 2421, 5913, 1014, 331, 1033, 1262, 978, 1796, 676, 1199, 637, 425, 859, 639, 5666, 4768, 1422, 1192, 1260, 492, 1807, 1057, 4176, 1370, 1230, 323, 1796, 382, 1305, 448, 1757, 686, 843, 1131, 633, 373, 888, 839, 1932, 2192, 1418, 3176, 1456, 448, 2479, 668, 971, 452, 3240, 1145, 866, 796, 451, 4458, 978, 2725, 795, 1417, 3450, 731, 2707, 870), total_bedrooms = c(607, 362, 591, 71, 399, 522, 1336, 311, 187, 610, 438, 385, 68, 1307, 461, 717, 347, 288, 179, 174, 138, 255, 391, 305, 319, 230, 259, 833, 656, 530, 261, 396, 482, 143, 725, 544, 575, 498, 831, 469, 867, 428, 288, 377, 285, 1816, 472, 260, 598, 637, 1646, 516, 662, 177, 968, 472, 450, 397, 263, 521, 557, 180, 165, 337, 20, 525, 795, 551, 300, 315, 327, 610, 2446, 355, 223, 348, 513, 328, 141, 385, 1062, 267, 133, 464, 36, 546, 60, 385, 854, 1312, 504, 1330, 20, 358, 366, 536, 371, 575, 1283, 2043, 545, 136, 449, 565, 499, 847, 269, 384, 221, 166, 327, 193, 1492, 1557, 515, 687, 461, 327, 1092, 386, 4522, 535, 550, 117, 531, 328, 613, 121, 594, 523, 307, 492, 331, 123, 321, 236, 727, 591, 320, 1309, 727, 114, 897, 251, 481, 201, 1634, 393, 268, 337, 194, 2022, 280, 934, 254, 308, 1307, 300, 1021, 303), total_rooms = c(2360, 1459, 2359, 321, 1940, 2837, 5178, 1724, 1550, 2352, 2890, 1980, 248, 6297, 2150, 4405, 2012, 1766, 775, 1080, 826, 1410, 1582, 2552, 1729, 1495, 1467, 2644, 2332, 2099, 1463, 1701, 1731, 778, 2729, 3137, 2925, 2662, 4781, 3486, 2438, 2067, 1210, 1189, 1795, 6075, 2006, 1276, 3655, 2723, 7067, 2608, 2517, 1302, 4865, 1968, 2296, 1564, 1277, 2892, 2364, 907, 886, 1624, 80, 1906, 3870, 2844, 1411, 1312, 1347, 3252, 5293, 1526, 1293, 1432, 1954, 1621, 685, 1607, 4084, 1310, 512, 2859, 123, 2344, 336, 1950, 4324, 4524, 3152, 7141, 98, 1823, 1524, 2165, 2954, 3715, 4443, 10072, 2030, 792, 2492, 2530, 3652, 4110, 1608, 2399, 1246, 613, 2465, 1072, 6145, 7748, 2765, 2673, 1899, 1127, 4920, 2649, 24121, 2493, 3250, 1034, 2287, 1649, 3737, 804, 2891, 1929, 1375, 2082, 1607, 828, 1477, 1004, 4371, 3199, 1091, 7949, 3835, 411, 3659, 1364, 2139, 1167, 6638, 3004, 1852, 1811, 916, 9042, 1983, 5187, 1379, 798, 8814, 1698, 4289, 1686), median_house_value = c(1e+05, 237500, 414700, 68100, 147800, 221000, 111400, 195600, 255300, 116500, 500001, 310900, 450000, 500001, 157300, 295600, 181600, 140700, 159200, 315900, 173900, 178000, 91500, 500001, 261800, 500001, 260100, 183100, 57300, 140800, 152500, 162300, 214300, 497600, 154300, 136800, 153100, 241600, 226400, 249500, 150000, 500001, 59300, 216700, 500001, 178100, 158800, 128600, 150100, 183100, 265300, 70000, 223000, 423200, 173500, 370000, 160600, 150000, 61700, 164500, 139200, 104000, 267000, 167600, 247200, 183300, 152700, 133700, 164900, 91500, 87500, 151700, 187500, 435200, 281900, 218100, 93800, 201400, 384600, 64700, 256300, 237900, 52000, 327500, 2e+05, 118300, 71800, 87900, 232400, 335300, 469900, 237800, 212500, 131000, 93800, 55900, 500001, 247100, 269200, 119500, 114200, 238600, 500001, 197100, 500001, 122300, 361700, 264600, 184600, 93800, 220700, 179300, 54600, 311200, 238900, 188900, 320000, 241700, 231900, 326800, 239300, 121200, 312700, 500001, 90600, 133000, 490300, 147100, 199800, 500001, 142300, 108900, 438300, 146200, 70300, 103400, 136800, 136400, 159400, 120100, 97200, 350000, 150500, 314100, 271300, 179800, 271100, 494000, 279500, 292900, 63300, 378800, 236700, 154300, 231800, 141700, 414300, 87200, 59600, 136300)), row.names = c(NA, -160L), class = "data.frame"), num.trees = 50L, mtry = 2, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 160
#> Number of independent variables: 6
#> Mtry: 2
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 8207257917
#> R squared (OOB): 0.476206
#> households housing_median_age median_income population
#> 2.422416e+11 2.664048e+11 1.185023e+12 2.790507e+11
#> total_bedrooms total_rooms
#> 1.934816e+11 2.627261e+11
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -301400.00 -56739.32 -3630.00 -20.38 53377.19 319927.19
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -55428.3 -6431.8 -1625.9 335.2 4145.6 56595.9
#> Min Max Mean StD
#> households 1036528185 72917356219 22193652045 17155632959
#> housing_median_age 1395111367 84901902121 22020572045 16811709634
#> median_income 2611527952 167645275173 54006787119 40354243215
#> population 1251747854 76834389764 24257255168 18314400062
#> total_bedrooms 993225920 85010874624 22086112963 17982119684
#> total_rooms 1461092190 91488098338 24649076168 18602675359
#>
#> Number of Observations: 160
#> Number of Independent Variables: 6
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 1551418785.817
#> R-squared (Not OOB) %: 90.036
#> AIC (Not OOB): 3399.99
#> AICc (Not OOB): 3400.727
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 11064703654.196
#> R-squared (OOB) %: 28.94
#> AIC (OOB): 3714.324
#> AICc (OOB): 3715.061
#> Mean squared error Predicted (Not OOB): 297266632.507
#> R-squared Predicted (Not OOB) %: 98.091
#> AIC Predicted (Not OOB): 3135.622
#> AICc Predicted (Not OOB): 3136.359
#>
#> Calculation time (in seconds): 18.3775
#> Ranger result
#>
#> Call:
#> ranger(median_house_value ~ households + housing_median_age + median_income + population + total_bedrooms + total_rooms, data = structure(list(households = c(592, 354, 431, 61, 382, 458, 1283, 315, 188, 592, 429, 391, 51, 1205, 407, 688, 332, 278, 183, 160, 134, 273, 404, 316, 300, 190, 260, 780, 610, 528, 245, 384, 455, 130, 722, 549, 501, 496, 797, 483, 753, 377, 238, 377, 261, 1634, 463, 259, 596, 556, 1597, 528, 607, 190, 893, 430, 405, 347, 241, 484, 516, 177, 173, 323, 23, 491, 774, 516, 339, 265, 91, 631, 2127, 315, 216, 348, 440, 322, 123, 354, 280, 527, 299, 530, 1772, 391, 137, 516, 272, 411, 416, 305, 288, 150, 715, 817, 297, 509, 1124, 583, 267, 353, 312, 794, 434, 217, 498, 249, 363, 831, 307, 178, 162, 1036, 301, 416, 61, 431, 669, 642, 2221, 504, 557, 117, 503, 151, 583, 140, 581, 455, 319, 473, 332, 133, 312, 235, 654, 563, 316, 1163, 658, 95, 903, 245, 418, 209, 1568, 376, 272, 333, 178, 1944, 287, 860, 297, 325, 1258, 291, 939, 320), housing_median_age = c(28, 25, 52, 35, 36, 18, 7, 35, 12, 34, 44, 34, 52, 42, 16, 6, 38, 41, 37, 11, 15, 40, 35, 23, 52, 52, 49, 19, 36, 41, 14, 44, 25, 33, 42, 35, 26, 38, 30, 10, 29, 35, 33, 37, 37, 16, 43, 42, 6, 32, 35, 43, 35, 9, 24, 52, 10, 10, 31, 32, 34, 52, 45, 33, 41, 23, 20, 32, 42, 32, 16, 13, 30, 29, 35, 31, 36, 19, 41, 37, 42, 15, 52, 22, 13, 44, 35, 16, 52, 18, 15, 16, 35, 25, 15, 26, 29, 19, 23, 50, 37, 38, 52, 10, 17, 34, 41, 52, 22, 15, 36, 37, 16, 27, 31, 22, 10, 30, 20, 18, 6, 16, 32, 21, 30, 19, 35, 20, 35, 29, 47, 50, 45, 33, 37, 43, 7, 30, 43, 10, 11, 26, 34, 36, 24, 44, 21, 25, 19, 46, 21, 25, 23, 25, 33, 43, 35, 16, 18, 46), median_income = c(2.5048, 3.35, 2.8333, 2.8056, 3.3906, 4.5272, 2.4079, 4.8359, 7.226, 2.2, 6.987, 5.1207, 1.4886, 6.4752, 2.4754, 5.8151, 3.1734, 4.9125, 3.25, 6.1274, 4.8125, 4.2206, 2.4537, 9.1974, 4.3036, 8.1548, 4.3452, 3.1042, 1.6045, 2.1979, 4.7857, 3.025, 3.256, 5.738, 2.3438, 3.788, 3.1859, 4.0057, 5.4746, 6.4696, 0.8351, 5.8371, 1.2171, 2.4672, 7.5794, 2.5553, 1.7991, 2.7273, 4.6053, 2.3942, 4.1776, 2.5714, 2.5787, 7.5, 4.2852, 3.3702, 4.3424, 2.7031, 1.7292, 3.7784, 2.8365, 2.2125, 4.2708, 4.0385, 5.25, 2.93, 3.3021, 2.7188, 2.6667, 1.5, 4, 4.2137, 1.51, 4.0313, 7.8543, 2.7243, 1.125, 3.7361, 5.2289, 1.9107, 3.0096, 4.2422, 2.2083, 4.3419, 4.8052, 1.8932, 5.25, 3.668, 6.2223, 2.7344, 11.1121, 6.0198, 4.5595, 7.1472, 1.0617, 2.2577, 1.1818, 3.944, 5.4155, 1.6505, 3.1989, 2.5104, 2, 8.7991, 2.71, 3.8906, 3.6845, 6.07, 1.6488, 7.4678, 4.095, 1.6645, 2.56, 3.3906, 4.0231, 3.725, 2.1964, 4.7917, 2.4211, 5.6345, 3.3799, 3.3368, 4.6424, 10.7237, 2.5833, 4.0556, 7.2096, 3.9632, 4.3571, 5.5347, 1.3785, 1.6424, 3.1445, 5.5, 2.5592, 2.81, 4.625, 3.4871, 2.1522, 4.1099, 2.5374, 1.7019, 2.9564, 5.3131, 4.3859, 3.7344, 3.6797, 7.2655, 5.6139, 3.43, 2.125, 4.5592, 6.3199, 4.1865, 4.6713, 1.4189, 6.1724, 3.0739, 1.3375, 3.4643), population = c(2623, 1150, 1100, 157, 1076, 1454, 2557, 992, 685, 1127, 1219, 970, 124, 2096, 1428, 2071, 880, 753, 726, 386, 440, 932, 1957, 916, 890, 459, 688, 2317, 2175, 2325, 881, 1091, 1127, 258, 3004, 1312, 1921, 1132, 2568, 1700, 2114, 724, 850, 645, 791, 2592, 1687, 799, 1993, 1549, 5380, 1322, 1883, 682, 2315, 784, 818, 643, 600, 1580, 1517, 479, 492, 1412, 61, 1029, 2088, 1337, 1295, 600, 271, 1915, 4123, 724, 701, 681, 1437, 871, 266, 972, 608, 1261, 637, 2491, 4518, 1345, 589, 1696, 588, 999, 1289, 1221, 1134, 486, 2120, 3792, 1054, 1463, 4014, 2247, 939, 882, 1026, 1900, 976, 774, 1666, 696, 1272, 2009, 1225, 842, 355, 3496, 1476, 1395, 161, 1837, 1534, 2381, 4176, 1370, 1230, 323, 1796, 382, 1305, 448, 1757, 686, 843, 1131, 633, 373, 888, 839, 1932, 2192, 1418, 3176, 1456, 448, 2479, 668, 971, 452, 3240, 1145, 866, 796, 451, 4458, 978, 2725, 795, 1417, 3450, 731, 2707, 870), total_bedrooms = c(607, 362, 591, 71, 399, 522, 1336, 311, 187, 610, 438, 385, 68, 1307, 461, 717, 347, 288, 179, 174, 138, 255, 391, 305, 319, 230, 259, 833, 656, 530, 261, 396, 482, 143, 725, 544, 575, 498, 831, 469, 867, 428, 288, 377, 285, 1816, 472, 260, 598, 637, 1646, 516, 662, 177, 968, 472, 450, 397, 263, 521, 557, 180, 165, 337, 20, 525, 795, 551, 300, 315, 327, 610, 2446, 355, 223, 348, 513, 328, 141, 385, 256, 567, 309, 581, 1823, 389, 128, 525, 284, 663, 451, 300, 302, 162, 774, 970, 291, 529, 1255, 673, 266, 385, 354, 1157, 453, 215, 514, 239, 358, 892, 301, 221, 147, 1082, 280, 441, 63, 446, 732, 614, 4522, 535, 550, 117, 531, 328, 613, 121, 594, 523, 307, 492, 331, 123, 321, 236, 727, 591, 320, 1309, 727, 114, 897, 251, 481, 201, 1634, 393, 268, 337, 194, 2022, 280, 934, 254, 308, 1307, 300, 1021, 303), total_rooms = c(2360, 1459, 2359, 321, 1940, 2837, 5178, 1724, 1550, 2352, 2890, 1980, 248, 6297, 2150, 4405, 2012, 1766, 775, 1080, 826, 1410, 1582, 2552, 1729, 1495, 1467, 2644, 2332, 2099, 1463, 1701, 1731, 778, 2729, 3137, 2925, 2662, 4781, 3486, 2438, 2067, 1210, 1189, 1795, 6075, 2006, 1276, 3655, 2723, 7067, 2608, 2517, 1302, 4865, 1968, 2296, 1564, 1277, 2892, 2364, 907, 886, 1624, 80, 1906, 3870, 2844, 1411, 1312, 1347, 3252, 5293, 1526, 1293, 1432, 1954, 1621, 685, 1607, 1067, 2298, 1452, 3015, 8918, 1870, 793, 2792, 1621, 2912, 3236, 2240, 1625, 1142, 2422, 2929, 1040, 3038, 7353, 2238, 1053, 2005, 1718, 7374, 2280, 1293, 1904, 1576, 1298, 5480, 1660, 973, 712, 5257, 1205, 2263, 304, 2246, 2572, 3611, 24121, 2493, 3250, 1034, 2287, 1649, 3737, 804, 2891, 1929, 1375, 2082, 1607, 828, 1477, 1004, 4371, 3199, 1091, 7949, 3835, 411, 3659, 1364, 2139, 1167, 6638, 3004, 1852, 1811, 916, 9042, 1983, 5187, 1379, 798, 8814, 1698, 4289, 1686), median_house_value = c(1e+05, 237500, 414700, 68100, 147800, 221000, 111400, 195600, 255300, 116500, 500001, 310900, 450000, 500001, 157300, 295600, 181600, 140700, 159200, 315900, 173900, 178000, 91500, 500001, 261800, 500001, 260100, 183100, 57300, 140800, 152500, 162300, 214300, 497600, 154300, 136800, 153100, 241600, 226400, 249500, 150000, 500001, 59300, 216700, 500001, 178100, 158800, 128600, 150100, 183100, 265300, 70000, 223000, 423200, 173500, 370000, 160600, 150000, 61700, 164500, 139200, 104000, 267000, 167600, 247200, 183300, 152700, 133700, 164900, 91500, 87500, 151700, 187500, 435200, 281900, 218100, 93800, 201400, 384600, 64700, 180800, 159400, 103900, 176300, 254000, 136100, 190200, 171200, 500001, 91900, 493000, 289600, 164900, 270100, 92400, 173800, 83200, 172500, 213200, 125000, 320800, 120500, 128000, 478500, 97800, 141000, 175800, 261800, 117500, 500001, 184000, 94900, 150000, 237200, 139200, 123500, 112500, 164500, 175000, 231000, 239300, 121200, 312700, 500001, 90600, 133000, 490300, 147100, 199800, 500001, 142300, 108900, 438300, 146200, 70300, 103400, 136800, 136400, 159400, 120100, 97200, 350000, 150500, 314100, 271300, 179800, 271100, 494000, 279500, 292900, 63300, 378800, 236700, 154300, 231800, 141700, 414300, 87200, 59600, 136300)), row.names = c(NA, -160L), class = "data.frame"), num.trees = 50L, mtry = 2, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 160
#> Number of independent variables: 6
#> Mtry: 2
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 7759514816
#> R squared (OOB): 0.4908093
#> households housing_median_age median_income population
#> 1.858676e+11 1.926618e+11 1.166016e+12 2.822583e+11
#> total_bedrooms total_rooms
#> 1.938730e+11 2.540698e+11
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -347600 -52840 -15487 -2039 37159 398800
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -74710 -8572 -1522 -1180 3817 92177
#> Min Max Mean StD
#> households 691020257 74013835655 22174626693 19022615419
#> housing_median_age 1249275966 71801116450 18158957187 15368648200
#> median_income 2309718574 156847836671 54147984896 41657417547
#> population 740318645 193425575862 29344361572 31518494392
#> total_bedrooms 913083742 73162237629 21379358167 17485154629
#> total_rooms 725756284 111345663054 23814879837 21650118159
#>
#> Number of Observations: 160
#> Number of Independent Variables: 6
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 1586263099.609
#> R-squared (Not OOB) %: 89.525
#> AIC (Not OOB): 3403.543
#> AICc (Not OOB): 3404.28
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 11644295709.198
#> R-squared (OOB) %: 23.108
#> AIC (OOB): 3722.493
#> AICc (OOB): 3723.23
#> Mean squared error Predicted (Not OOB): 356052094.034
#> R-squared Predicted (Not OOB) %: 97.649
#> AIC Predicted (Not OOB): 3164.494
#> AICc Predicted (Not OOB): 3165.231
#>
#> Calculation time (in seconds): 2.4583
#> Ranger result
#>
#> Call:
#> ranger(median_house_value ~ households + housing_median_age + median_income + population + total_bedrooms + total_rooms, data = structure(list(households = c(592, 354, 431, 61, 382, 458, 1283, 315, 188, 592, 429, 391, 51, 1205, 407, 688, 332, 278, 183, 160, 134, 273, 404, 316, 300, 190, 260, 780, 610, 528, 245, 384, 455, 130, 722, 549, 501, 496, 797, 483, 753, 377, 238, 377, 261, 1634, 463, 259, 596, 556, 1597, 528, 607, 190, 893, 430, 405, 347, 241, 484, 516, 177, 173, 323, 23, 491, 774, 516, 339, 265, 91, 631, 2127, 315, 216, 348, 440, 322, 123, 354, 280, 527, 299, 530, 1772, 391, 137, 516, 272, 411, 416, 305, 288, 150, 715, 817, 297, 509, 1124, 583, 267, 353, 312, 794, 434, 217, 498, 249, 363, 831, 307, 178, 162, 1036, 301, 416, 61, 431, 669, 642, 987, 261, 124, 430, 40, 513, 68, 363, 885, 1243, 426, 1268, 19, 342, 370, 414, 347, 572, 1180, 1909, 518, 137, 437, 509, 462, 706, 267, 390, 222, 147, 315, 196, 1457, 1393, 438, 656, 415, 331, 922, 362), housing_median_age = c(28, 25, 52, 35, 36, 18, 7, 35, 12, 34, 44, 34, 52, 42, 16, 6, 38, 41, 37, 11, 15, 40, 35, 23, 52, 52, 49, 19, 36, 41, 14, 44, 25, 33, 42, 35, 26, 38, 30, 10, 29, 35, 33, 37, 37, 16, 43, 42, 6, 32, 35, 43, 35, 9, 24, 52, 10, 10, 31, 32, 34, 52, 45, 33, 41, 23, 20, 32, 42, 32, 16, 13, 30, 29, 35, 31, 36, 19, 41, 37, 42, 15, 52, 22, 13, 44, 35, 16, 52, 18, 15, 16, 35, 25, 15, 26, 29, 19, 23, 50, 37, 38, 52, 10, 17, 34, 41, 52, 22, 15, 36, 37, 16, 27, 31, 22, 10, 30, 20, 18, 20, 23, 38, 27, 38, 37, 27, 32, 17, 30, 32, 24, 41, 43, 13, 30, 52, 25, 24, 16, 29, 49, 43, 47, 30, 13, 41, 32, 38, 36, 29, 36, 31, 5, 34, 14, 45, 37, 19, 17), median_income = c(2.5048, 3.35, 2.8333, 2.8056, 3.3906, 4.5272, 2.4079, 4.8359, 7.226, 2.2, 6.987, 5.1207, 1.4886, 6.4752, 2.4754, 5.8151, 3.1734, 4.9125, 3.25, 6.1274, 4.8125, 4.2206, 2.4537, 9.1974, 4.3036, 8.1548, 4.3452, 3.1042, 1.6045, 2.1979, 4.7857, 3.025, 3.256, 5.738, 2.3438, 3.788, 3.1859, 4.0057, 5.4746, 6.4696, 0.8351, 5.8371, 1.2171, 2.4672, 7.5794, 2.5553, 1.7991, 2.7273, 4.6053, 2.3942, 4.1776, 2.5714, 2.5787, 7.5, 4.2852, 3.3702, 4.3424, 2.7031, 1.7292, 3.7784, 2.8365, 2.2125, 4.2708, 4.0385, 5.25, 2.93, 3.3021, 2.7188, 2.6667, 1.5, 4, 4.2137, 1.51, 4.0313, 7.8543, 2.7243, 1.125, 3.7361, 5.2289, 1.9107, 3.0096, 4.2422, 2.2083, 4.3419, 4.8052, 1.8932, 5.25, 3.668, 6.2223, 2.7344, 11.1121, 6.0198, 4.5595, 7.1472, 1.0617, 2.2577, 1.1818, 3.944, 5.4155, 1.6505, 3.1989, 2.5104, 2, 8.7991, 2.71, 3.8906, 3.6845, 6.07, 1.6488, 7.4678, 4.095, 1.6645, 2.56, 3.3906, 4.0231, 3.725, 2.1964, 4.7917, 2.4211, 5.6345, 3.2388, 5.3994, 1.7386, 5.0822, 2.3942, 2.4394, 5.3946, 2.8365, 3.6619, 2.8889, 7.1198, 4.6649, 2.225, 3.2708, 2.5446, 3.5391, 11.5609, 5.7705, 2.2652, 3.0606, 2.2409, 5.2128, 7.9614, 3.6475, 8.2374, 2.6417, 4.6125, 4.125, 3.6625, 2.2031, 6.6605, 5.0275, 1.9066, 5.305, 5.4727, 4.1862, 2.6667, 2.675, 3.5112, 4.7813), population = c(2623, 1150, 1100, 157, 1076, 1454, 2557, 992, 685, 1127, 1219, 970, 124, 2096, 1428, 2071, 880, 753, 726, 386, 440, 932, 1957, 916, 890, 459, 688, 2317, 2175, 2325, 881, 1091, 1127, 258, 3004, 1312, 1921, 1132, 2568, 1700, 2114, 724, 850, 645, 791, 2592, 1687, 799, 1993, 1549, 5380, 1322, 1883, 682, 2315, 784, 818, 643, 600, 1580, 1517, 479, 492, 1412, 61, 1029, 2088, 1337, 1295, 600, 271, 1915, 4123, 724, 701, 681, 1437, 871, 266, 972, 608, 1261, 637, 2491, 4518, 1345, 589, 1696, 588, 999, 1289, 1221, 1134, 486, 2120, 3792, 1054, 1463, 4014, 2247, 939, 882, 1026, 1900, 976, 774, 1666, 696, 1272, 2009, 1225, 842, 355, 3496, 1476, 1395, 161, 1837, 1534, 2381, 1637, 910, 676, 1144, 142, 1134, 195, 1145, 1656, 1910, 793, 3418, 68, 1065, 994, 1500, 1152, 1640, 2421, 5913, 1014, 331, 1033, 1262, 978, 1796, 676, 1199, 637, 425, 859, 639, 5666, 4768, 1422, 1192, 1260, 492, 1807, 1057), total_bedrooms = c(607, 362, 591, 71, 399, 522, 1336, 311, 187, 610, 438, 385, 68, 1307, 461, 717, 347, 288, 179, 174, 138, 255, 391, 305, 319, 230, 259, 833, 656, 530, 261, 396, 482, 143, 725, 544, 575, 498, 831, 469, 867, 428, 288, 377, 285, 1816, 472, 260, 598, 637, 1646, 516, 662, 177, 968, 472, 450, 397, 263, 521, 557, 180, 165, 337, 20, 525, 795, 551, 300, 315, 327, 610, 2446, 355, 223, 348, 513, 328, 141, 385, 256, 567, 309, 581, 1823, 389, 128, 525, 284, 663, 451, 300, 302, 162, 774, 970, 291, 529, 1255, 673, 266, 385, 354, 1157, 453, 215, 514, 239, 358, 892, 301, 221, 147, 1082, 280, 441, 63, 446, 732, 614, 1062, 267, 133, 464, 36, 546, 60, 385, 854, 1312, 504, 1330, 20, 358, 366, 536, 371, 575, 1283, 2043, 545, 136, 449, 565, 499, 847, 269, 384, 221, 166, 327, 193, 1492, 1557, 515, 687, 461, 327, 1092, 386), total_rooms = c(2360, 1459, 2359, 321, 1940, 2837, 5178, 1724, 1550, 2352, 2890, 1980, 248, 6297, 2150, 4405, 2012, 1766, 775, 1080, 826, 1410, 1582, 2552, 1729, 1495, 1467, 2644, 2332, 2099, 1463, 1701, 1731, 778, 2729, 3137, 2925, 2662, 4781, 3486, 2438, 2067, 1210, 1189, 1795, 6075, 2006, 1276, 3655, 2723, 7067, 2608, 2517, 1302, 4865, 1968, 2296, 1564, 1277, 2892, 2364, 907, 886, 1624, 80, 1906, 3870, 2844, 1411, 1312, 1347, 3252, 5293, 1526, 1293, 1432, 1954, 1621, 685, 1607, 1067, 2298, 1452, 3015, 8918, 1870, 793, 2792, 1621, 2912, 3236, 2240, 1625, 1142, 2422, 2929, 1040, 3038, 7353, 2238, 1053, 2005, 1718, 7374, 2280, 1293, 1904, 1576, 1298, 5480, 1660, 973, 712, 5257, 1205, 2263, 304, 2246, 2572, 3611, 4084, 1310, 512, 2859, 123, 2344, 336, 1950, 4324, 4524, 3152, 7141, 98, 1823, 1524, 2165, 2954, 3715, 4443, 10072, 2030, 792, 2492, 2530, 3652, 4110, 1608, 2399, 1246, 613, 2465, 1072, 6145, 7748, 2765, 2673, 1899, 1127, 4920, 2649), median_house_value = c(1e+05, 237500, 414700, 68100, 147800, 221000, 111400, 195600, 255300, 116500, 500001, 310900, 450000, 500001, 157300, 295600, 181600, 140700, 159200, 315900, 173900, 178000, 91500, 500001, 261800, 500001, 260100, 183100, 57300, 140800, 152500, 162300, 214300, 497600, 154300, 136800, 153100, 241600, 226400, 249500, 150000, 500001, 59300, 216700, 500001, 178100, 158800, 128600, 150100, 183100, 265300, 70000, 223000, 423200, 173500, 370000, 160600, 150000, 61700, 164500, 139200, 104000, 267000, 167600, 247200, 183300, 152700, 133700, 164900, 91500, 87500, 151700, 187500, 435200, 281900, 218100, 93800, 201400, 384600, 64700, 180800, 159400, 103900, 176300, 254000, 136100, 190200, 171200, 500001, 91900, 493000, 289600, 164900, 270100, 92400, 173800, 83200, 172500, 213200, 125000, 320800, 120500, 128000, 478500, 97800, 141000, 175800, 261800, 117500, 500001, 184000, 94900, 150000, 237200, 139200, 123500, 112500, 164500, 175000, 231000, 256300, 237900, 52000, 327500, 2e+05, 118300, 71800, 87900, 232400, 335300, 469900, 237800, 212500, 131000, 93800, 55900, 500001, 247100, 269200, 119500, 114200, 238600, 500001, 197100, 500001, 122300, 361700, 264600, 184600, 93800, 220700, 179300, 54600, 311200, 238900, 188900, 320000, 241700, 231900, 326800)), row.names = c(NA, -160L), class = "data.frame"), num.trees = 50L, mtry = 2, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 160
#> Number of independent variables: 6
#> Mtry: 2
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 7545899121
#> R squared (OOB): 0.4817143
#> households housing_median_age median_income population
#> 1.886719e+11 2.320754e+11 1.070679e+12 1.942059e+11
#> total_bedrooms total_rooms
#> 1.842155e+11 2.808110e+11
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -227223 -49089 -8123 6160 61200 324201
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -61406.4 -6428.4 -1083.2 190.3 3726.3 84617.2
#> Min Max Mean StD
#> households 1419817266 81804184548 18934782557 15465987316
#> housing_median_age 898467331 106253447376 22010407309 19997411452
#> median_income 1616529499 172755509166 55071483969 44612021914
#> population 988771935 62337778711 21638489655 16549786470
#> total_bedrooms 1105828270 90223191261 19412949712 16503384179
#> total_rooms 1302695294 79747573996 24806698118 20744895134
#>
#> Number of Observations: 160
#> Number of Independent Variables: 6
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 1604006078.192
#> R-squared (Not OOB) %: 88.914
#> AIC (Not OOB): 3405.323
#> AICc (Not OOB): 3406.06
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 10496330539.336
#> R-squared (OOB) %: 27.453
#> AIC (OOB): 3705.887
#> AICc (OOB): 3706.623
#> Mean squared error Predicted (Not OOB): 352079527.184
#> R-squared Predicted (Not OOB) %: 97.567
#> AIC Predicted (Not OOB): 3162.699
#> AICc Predicted (Not OOB): 3163.436
#>
#> Calculation time (in seconds): 30.322
#> Ranger result
#>
#> Call:
#> ranger(Income01 ~ Foreig01 + PrSect01 + UnemrT01, data = structure(list( Foreig01 = c(1.326379, 0.739066, 4.091277, 2.284376, 8.65707, 4.493009, 3.314757, 3.725453, 3.927859, 3.358342, 0.963082, 1.421484, 4.76081, 2.206378, 8.534976, 4.862805, 5.376344, 1.918058, 2.70233, 4.551465, 17.443299, 10.773481, 2.803964, 1.872839, 6.492916, 9.309483, 5.264627, 9.116022, 7.177934, 5.821225, 8.276884, 3.97829, 2.672556, 10.791309, 2.37487, 3.115023, 8.890436, 13.82815, 7.36147, 5.509564, 5.664887, 5.355954, 8.611015, 8.331449, 8.184301, 7.056066, 5.495312, 7.097849, 6.582164, 8.803252, 13.518336, 6.801438, 8.509372, 14.364707, 7.974206, 7.730033, 7.830598, 11.019203, 6.504752, 6.726014, 13.819578, 17.966102, 11.988178, 9.663226, 7.916497, 1.99678, 0.038337, 0.598828, 0.695308, 1.317189, 7.200951, 6.90266, 2.722651, 4.978021, 6.001122, 3.628457, 2.303796, 18.517776, 2.034241, 2.966533, 5.752894, 8.021119, 2.762162, 4.345621, 18.693849, 9.498062, 6.852363, 5.997017, 4.315751, 2.739917, 7.213248, 6.868, 5.301864, 2.284037, 5.205073, 1.953719, 7.753512, 6.779058, 8.847185, 7.827199, 9.441715, 8.244769, 4.805635, 5.155828, 7.097387, 6.705269, 13.038322, 7.206725, 5.871832, 5.506176, 11.399549, 4.899598, 1.143241, 4.210526, 10.188476, 1.102941, 9.291085, 4.733728, 14.470678, 6.573276, 4.912837, 9.170128, 5.853358, 3.513776, 3.856971, 4.195804, 2.148056, 14.680209, 8.889386, 4.960728, 8.088618, 6.225509, 5.934958, 7.347162, 9.349243, 6.040992, 4.023818, 1.907888, 6.657243, 8.846268, 6.229869, 2.352673, 14.74122, 3.812906, 6.746862, 0.8522, 6.373809, 5.834723, 4.265624, 1.43841, 8.990228, 1.611482, 5.886121, 14.233419, 5.19424, 10.037652, 10.275453, 4.161395, 2.328034, 10.180573, 6.349635, 4.502847, 6.597823, 4.128939, 9.413947, 9.631219, 11.469108, 5.017, 5.025733, 8.043588, 9.058772, 4.68281, 6.433254, 12.438579, 9.830658, 7.101978, 8.723006, 8.515141, 6.678547, 5.757121, 4.429016, 2.605863, 4.438607, 9.210526, 3.132648, 0.357995, 7.323496, 14.097339, 6.451613, 7.18703, 4.976455, 1.923704, 6.982319, 9.876543, 7.916303, 2.961633, 2.688983, 1.663541, 1.664659, 0.062147, 2.637279, 5.799806, 5.183398, 6.780155, 3.03135, 2.765511, 3.610861, 3.024963, 2.228995, 2.285309, 3.845944, 4.739134, 7.524262, 0.321543, 9.47912, 19.157686, 6.345588, 5.082042, 12.927131, 9.315655, 1.315209, 4.130708, 7.771945, 7.359933, 7.761194, 14.780181, 10.156464, 11.460221, 13.59267, 6.558645, 7.208287, 11.146436, 8.205619, 4.682677, 6.65286, 6.18246, 3.252711, 3.736699, 7.97901, 7.109372, 15.055692, 13.387156, 13.233622, 12.38675, 7.463988, 5.658489, 12.962963, 13.889667, 11.746032, 3.938444, 1.680672, 4.765343, 5.142483, 20.259019, 7.67155, 4.048727, 6.25157, 6.310989, 7.400555, 8.900264), PrSect01 = c(37.692656, 38.823028, 37.303852, 6.445493, 34.664993, 1.590318, 20.292905, 31.595236, 17.261758, 21.718973, 23.253676, 29.723837, 41.352201, 38.636966, 45.666551, 56.900124, 44.190172, 21.224781, 66.130079, 6.68381, 22.484472, 12.420156, 19.500245, 39.303754, 68.01065, 39.224697, 32.363107, 44.260506, 12.056562, 26.758572, 15.523418, 52.281369, 67.8333, 44.060725, 43.198681, 33.688984, 30.265756, 49.669926, 0.463182, 0.491463, 0.633389, 0.517554, 0.366845, 0.82332, 0.398047, 0.458925, 0.283763, 0.613263, 0.474993, 0.438809, 3.019678, 4.702739, 1.169509, 4.541261, 9.045477, 10.352113, 15.295877, 4.719357, 5.552309, 28.228228, 12.236287, 31.683168, 44.98284, 11.545543, 5.725071, 21.817852, 92.912436, 37.69697, 44.698545, 58.076846, 0.834415, 12.871646, 1.480707, 1.154857, 9.59213, 43.03042, 56.606724, 15.64907, 6.843546, 27.572169, 55.736337, 56.198347, 68.631464, 42.735043, 6.319515, 8.396947, 51.096154, 30.266171, 17.692308, 51.948052, 14.317028, 20.297168, 2.567481, 40.04717, 17.467761, 33.86938, 46.38916, 34.49692, 36.956522, 55.393008, 60.579377, 0.278552, 0.45586, 0.521431, 0.551688, 0.319103, 7.621111, 6.583814, 1.056288, 0.762893, 3.930131, 29.294261, 18.808777, 13.157895, 18.308351, 43.809524, 17.768595, 31.428571, 14.63539, 5.836576, 13.366337, 4.961814, 12.782486, 54.140389, 62.739767, 25.19685, 53.339605, 61.525841, 51.305684, 63.929619, 22.823121, 38.083927, 1.159091, 20.658431, 12.182284, 25.421061, 20.39555, 15.660427, 33.918837, 27.202407, 31.296344, 9.428216, 64.480874, 25.292137, 28.17224, 24.695122, 18.9669, 48.379164, 7.244547, 49.516324, 48.806999, 42.079395, 15.288577, 36.097368, 16.864528, 36.605617, 24.949971, 32.202216, 15.550423, 21.865889, 41.800387, 26.050272, 38.35232, 14.152989, 45.304102, 6.852248, 39.820481, 10.481552, 0.425861, 0.467575, 1.050271, 0.781873, 0.451669, 1.514451, 6.311523, 1.227819, 16.135987, 0.491722, 0.349096, 0.476543, 29.819161, 44.144144, 11.452587, 56, 7.658158, 16.574586, 23.594053, 12.075552, 2.439024, 65.793103, 51.843287, 47.257384, 45.10826, 51.351351, 45.701249, 7.298838, 49.159664, 13.235721, 40.009308, 62.992652, 30.067125, 42.931896, 52.172303, 48.856417, 58.607969, 57.756056, 19.057454, 28.368794, 30.543933, 53.617733, 30.949859, 5.275029, 43.202073, 59.071118, 38.639943, 25.041356, 32.841823, 16.761522, 25.029516, 16.531286, 42.385267, 40.660232, 42.81265, 29.070523, 52.111411, 25.659879, 66.371681, 67.480046, 55.569206, 51.205796, 42.586207, 0.367745, 0.302285, 0.497295, 0.883996, 0.716765, 0.448012, 0.328626, 0.572086, 2.442077, 15.073684, 2.054305, 4.613297, 6.518078, 0.364312, 5.284913, 7.039106, 19.320938, 6.478659, 20.368713, 27.027027, 19.911504, 11.524501, 26.279863, 9.341501, 7.477305, 47.181719, 37.721555, 38.57868, 35.838009), UnemrT01 = c(9.922417, 3.685218, 3.719812, 9.030693, 3.714694, 5.505411, 6.182881, 7.934726, 15.764364, 5.158126, 5.308964, 7.464694, 7.826087, 2.809278, 3.49345, 2.975472, 2.118423, 4.704569, 4.11999, 6.254473, 4.280618, 8.684381, 6.216358, 6.173946, 1.793052, 3.33713, 1.926851, 4.549401, 6.386438, 6.448413, 12.317644, 3.294009, 3.381548, 8.367845, 6.25966, 4.726811, 5.224525, 2.620229, 6.080016, 4.621528, 4.380707, 3.008167, 4.928766, 4.781411, 4.256849, 5.234798, 7.413793, 4.699718, 5.877712, 4.797139, 3.40752, 9.118504, 5.834153, 8.343512, 10.848741, 11.965282, 10.889016, 11.034832, 4.83871, 5.932203, 8.846154, 1.941748, 5.839809, 8.836888, 6.666993, 5.221281, 2.15424, 3.746435, 5.143796, 5.673624, 6.336333, 4.653253, 5.61862, 8.363331, 5.573834, 5.586524, 3.489908, 8.665065, 5.398406, 5.015233, 2.143295, 2.276065, 2.759719, 3.769705, 8.889912, 5.629669, 5.144108, 3.600497, 5.405405, 3.399433, 6.068487, 3.698704, 8.493895, 6.319046, 4.612804, 4.392846, 3.491507, 2.573124, 6.122449, 4.43128, 4.833617, 4.348947, 4.943621, 4.004405, 6.606146, 4.202529, 4.835082, 4.33121, 8.056316, 6.550318, 9.84252, 5.081193, 12.121212, 7, 7.555262, 1.869159, 5.958549, 4.669261, 12.494422, 19.6875, 3.809524, 15.389431, 6.100796, 2.001881, 4.458874, 8.724016, 3.407542, 2.284569, 5.938448, 2.198853, 13.36772, 4.639262, 8.424908, 6.984719, 6.422553, 5.720858, 9.631886, 7.700063, 4.256553, 4.560742, 13.127499, 7.167602, 7.200811, 2.922515, 4.463895, 6.339235, 6.710119, 7.525326, 5.139822, 3.575593, 4.530499, 6.238922, 4.671632, 5.46305, 5.685698, 7.832546, 6.219839, 5.559189, 6.770335, 7.630162, 11.03574, 6.564108, 9.623993, 5.029412, 2.831226, 6.856146, 5.165409, 5.956961, 5.917458, 4.738235, 4.94433, 4.481024, 5.640914, 4.483216, 4.497696, 5.958702, 4.679102, 6.480184, 7.156274, 6.384455, 6.47715, 1.769912, 6.0406, 12.280702, 4.420085, 2.162162, 7.600418, 7.042809, 3.529412, 7.643312, 3.833072, 2.569373, 4.003079, 0.35, 5.191257, 10.851115, 10.526316, 4.028502, 9.019054, 6.188313, 8.377709, 4.551818, 5.106582, 3.063895, 6.528736, 5.407035, 7.758919, 14.533122, 8.795203, 4.398241, 6.147473, 5.829585, 3.471041, 5.874317, 6.480118, 3.674933, 6.866417, 5.14449, 6.615215, 8.164604, 10.044702, 4.729155, 8.525093, 5.978814, 3.329473, 6.767446, 0.673894, 2.685308, 6.365031, 4.689755, 2.602855, 5.52713, 3.888003, 3.922883, 5.351646, 6.147813, 5.227775, 4.818924, 4.318526, 6.918793, 6.505265, 3.946465, 4.729075, 5.786281, 7.185884, 7.264762, 6.478579, 7.479432, 5.949821, 5.144312, 1.333333, 3.211991, 12.816456, 0.677966, 13.852243, 6.557167, 4.44999, 6.408027, 5.806011, 7.009982), Income01 = c(7677.032664, 9259.577454, 8888.786526, 11165.632108, 8698.950125, 16570.163224, 9969.430572, 8615.250773, 9911.50949, 11556.608348, 10024.730993, 10163.272567, 7449.295834, 8272.693788, 8712.479825, 7415.7966, 8129.73061, 10535.622267, 7714.695626, 11928.756482, 10429.892408, 10073.256411, 10269.971914, 8504.131187, 7590.490634, 10698.178577, 8754.512875, 9093.900799, 10771.582496, 8862.16138, 11126.873309, 7343.168771, 7435.687056, 8922.910571, 7529.754975, 8687.94206, 11534.499063, 9953.122462, 13966.464409, 14465.664932, 18932.911377, 19938.129264, 13399.832918, 20040.300881, 24573.894541, 12433.888268, 11085.772268, 12571.419116, 13734.152858, 16035.157882, 20617.695628, 11458.787767, 15578.637857, 12144.689612, 9532.880665, 9296.633841, 9167.76417, 11774.029563, 12157.022236, 9025.079789, 9261.601516, 8888.138597, 10033.980853, 13184.757809, 11612.229683, 10969.315256, 6398.641486, 8636.939034, 8843.261472, 6502.769207, 13388.724605, 13924.64678, 14271.725498, 10877.619318, 14228.969009, 9367.845149, 7842.985808, 9232.707133, 13043.96637, 9237.032366, 8939.464373, 8531.132636, 7079.01195, 9705.812326, 10289.083287, 15628.575709, 10835.459224, 9594.79381, 11236.559344, 7051.83592, 11307.658657, 11070.811825, 12699.732926, 7101.793614, 12663.682886, 7934.747765, 9600.666543, 10769.102635, 8778.104036, 8127.118396, 7128.254242, 13417.328212, 15546.215489, 19957.239934, 12066.649255, 16619.007474, 12282.968054, 11755.163618, 10706.765565, 11927.693805, 9532.880665, 11387.172049, 9107.992058, 11645.230736, 10136.635143, 9062.404166, 9373.082883, 9215.517837, 8595.080677, 10000.015403, 10381.576323, 12302.954954, 10143.649419, 8080.973395, 7264.695448, 10508.368742, 8208.923846, 7989.958401, 8120.027122, 6602.391386, 8780.451519, 8481.42276, 10295.348873, 10747.375964, 12023.819373, 9257.263138, 9872.956088, 8838.624722, 9985.949665, 9842.416491, 8227.782136, 12772.15574, 7037.584312, 9906.743471, 8421.408087, 7092.552025, 11206.061683, 7978.206235, 11793.212235, 7319.147599, 7329.73737, 10106.062749, 12371.653766, 9073.853801, 11092.951384, 9580.809008, 10865.369261, 8926.201158, 11146.901005, 10848.913392, 8667.022944, 10513.652134, 8745.057899, 12944.741373, 9574.161074, 11940.521945, 9033.625889, 12338.160411, 14933.37738, 13782.751527, 22713.819971, 18012.846533, 12459.106366, 19520.441161, 12800.674576, 13481.769913, 10213.399503, 13526.48684, 12390.076276, 11067.580526, 9832.88178, 7725.916147, 11786.19731, 5421.733909, 12235.922352, 10928.188656, 10360.87907, 10528.1431, 9412.224138, 7416.650771, 8427.782051, 8457.863978, 9470.432432, 8498.080328, 8750.030129, 11299.106498, 7540.976656, 12802.25257, 10893.762596, 6619.932397, 9065.74985, 8963.729293, 7700.217079, 7992.93997, 7945.20396, 7219.935905, 9949.272583, 8226.640394, 8733.883025, 8891.511834, 8947.602528, 11747.257893, 8242.186064, 6048.887084, 8859.143656, 11230.95668, 9704.660134, 11916.715607, 8981.63753, 10762.936983, 6722.157048, 9101.784044, 8561.815567, 9582.188937, 8169.299538, 8996.95022, 7689.421102, 7192.308026, 7431.348413, 7839.114314, 8012.720158, 13689.648935, 14776.121451, 22306.368861, 14017.158218, 18996.201304, 13472.29011, 13704.54664, 17935.643677, 11532.813908, 11591.464247, 16607.307299, 13089.828808, 11324.658709, 11750.491094, 10981.720456, 11245.356004, 11610.35747, 9269.2439, 10122.848992, 7566.666874, 11184.921534, 9166.012535, 11273.367499, 9593.545145, 12479.911946, 9011.115786, 10867.976043, 8924.440205, 8787.677923)), row.names = c(NA, -260L), class = "data.frame"), num.trees = 50L, mtry = 1, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 260
#> Number of independent variables: 3
#> Mtry: 1
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 3047921
#> R squared (OOB): 0.6719823
#> Foreig01 PrSect01 UnemrT01
#> 379888380 1289142272 539135797
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -9441.57 -1151.31 -112.28 -95.41 1058.35 10336.10
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -1828.25 -133.51 -14.03 8.87 109.34 1727.33
#> Min Max Mean StD
#> Foreig01 1400258 98480803 18817309 16403436
#> PrSect01 2699314 101983380 26703404 17542368
#> UnemrT01 2519036 122133405 21115654 19935825
#>
#> Number of Observations: 260
#> Number of Independent Variables: 3
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 763585.319
#> R-squared (Not OOB) %: 91.751
#> AIC (Not OOB): 3529.903
#> AICc (Not OOB): 3530.06
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 4608998.354
#> R-squared (OOB) %: 50.206
#> AIC (OOB): 3997.315
#> AICc (OOB): 3997.472
#> Mean squared error Predicted (Not OOB): 97560.956
#> R-squared Predicted (Not OOB) %: 98.946
#> AIC Predicted (Not OOB): 2994.94
#> AICc Predicted (Not OOB): 2995.097
#>
#> Calculation time (in seconds): 34.4423
#> Ranger result
#>
#> Call:
#> ranger(Income01 ~ Foreig01 + PrSect01 + UnemrT01, data = structure(list( Foreig01 = c(1.339977, 0.890172, 2.552864, 2.463825, 1.991885, 4.665301, 4.815093, 4.382022, 6.62604, 3.013393, 4.472027, 5.276178, 2.344013, 1.753005, 1.10597, 1.760782, 6.263982, 4.065584, 3.023547, 12.317792, 2.945441, 0.617024, 3.954178, 7.017951, 4.023361, 3.13649, 1.317752, 5.473717, 2.312979, 10.641892, 5.642833, 1.499305, 13.219145, 3.31992, 7.423719, 2.717079, 2.318117, 2.357132, 5.681818, 6.042729, 3.481225, 3.104939, 10.527485, 7.249063, 17.426785, 8.201391, 6.166604, 5.75461, 7.740544, 7.603582, 13.960731, 11.762564, 5.361922, 7.531381, 2.763603, 14.937336, 4.221252, 9.575518, 3.185956, 5.633256, 24.533592, 9.557235, 13.828361, 8.46983, 1.307351, 1.99678, 0.038337, 0.598828, 0.695308, 1.317189, 7.200951, 6.90266, 2.722651, 4.978021, 6.001122, 3.628457, 2.303796, 18.517776, 2.034241, 2.966533, 5.752894, 8.021119, 2.762162, 4.345621, 18.693849, 9.498062, 6.852363, 5.997017, 4.315751, 2.739917, 7.213248, 6.868, 5.301864, 2.284037, 5.205073, 1.953719, 7.753512, 6.779058, 8.847185, 7.827199, 9.441715, 8.244769, 4.805635, 5.155828, 7.097387, 6.705269, 13.038322, 7.206725, 5.871832, 5.506176, 11.399549, 4.899598, 1.143241, 4.210526, 10.188476, 1.102941, 9.291085, 4.733728, 14.470678, 6.573276, 4.912837, 9.170128, 5.853358, 3.513776, 3.856971, 4.195804, 2.148056, 14.680209, 8.889386, 4.960728, 8.088618, 6.225509, 5.934958, 7.347162, 9.349243, 6.040992, 4.023818, 1.907888, 6.657243, 8.846268, 6.229869, 2.352673, 14.74122, 3.812906, 6.746862, 0.8522, 6.373809, 5.834723, 4.265624, 1.43841, 8.990228, 1.611482, 5.886121, 14.233419, 5.19424, 10.037652, 10.275453, 4.161395, 2.328034, 10.180573, 6.349635, 4.502847, 6.597823, 4.128939, 9.413947, 9.631219, 11.469108, 5.017, 5.025733, 8.043588, 9.058772, 4.68281, 6.433254, 12.438579, 9.830658, 7.101978, 8.723006, 8.515141, 6.678547, 5.757121, 4.429016, 2.605863, 4.438607, 9.210526, 3.132648, 0.357995, 7.323496, 14.097339, 6.451613, 7.18703, 4.976455, 1.923704, 6.982319, 9.876543, 7.916303, 2.961633, 2.688983, 1.663541, 1.664659, 0.062147, 2.637279, 5.799806, 5.183398, 6.780155, 3.03135, 2.765511, 3.610861, 3.024963, 2.228995, 2.285309, 3.845944, 4.739134, 7.524262, 0.321543, 9.47912, 19.157686, 6.345588, 5.082042, 12.927131, 9.315655, 1.315209, 4.130708, 7.771945, 7.359933, 7.761194, 14.780181, 10.156464, 11.460221, 13.59267, 6.558645, 7.208287, 11.146436, 8.205619, 4.682677, 6.65286, 6.18246, 3.252711, 3.736699, 7.97901, 7.109372, 15.055692, 13.387156, 13.233622, 12.38675, 7.463988, 5.658489, 12.962963, 13.889667, 11.746032, 3.938444, 1.680672, 4.765343, 5.142483, 20.259019, 7.67155, 4.048727, 6.25157, 6.310989, 7.400555, 8.900264), PrSect01 = c(70.206767, 57.748085, 28.412363, 42.787795, 44.731183, 5.374961, 1.218122, 25.957295, 0.847579, 29.397378, 24.652368, 40.024104, 47.0726, 47.674767, 54.581307, 38.775762, 37.212276, 23.277291, 24.122207, 36.839789, 25.113386, 52.922756, 48.589099, 23.579571, 30.988275, 53.68586, 34.608031, 63.47282, 61.155645, 42.602916, 7.864911, 19.215686, 28.121995, 29.62963, 26.769912, 37.23871, 29.615408, 50.880597, 16.361599, 32.053002, 41.260379, 47.43295, 22.881027, 43.056592, 0.515649, 0.361087, 0.309353, 0.429726, 0.515624, 5.838417, 15.238266, 53.857884, 16.574001, 14.583333, 4.161377, 5.720258, 20, 25.454545, 37.478109, 16.464088, 4.341671, 26.903553, 16.006904, 11.268322, 56.706408, 21.817852, 92.912436, 37.69697, 44.698545, 58.076846, 0.834415, 12.871646, 1.480707, 1.154857, 9.59213, 43.03042, 56.606724, 15.64907, 6.843546, 27.572169, 55.736337, 56.198347, 68.631464, 42.735043, 6.319515, 8.396947, 51.096154, 30.266171, 17.692308, 51.948052, 14.317028, 20.297168, 2.567481, 40.04717, 17.467761, 33.86938, 46.38916, 34.49692, 36.956522, 55.393008, 60.579377, 0.278552, 0.45586, 0.521431, 0.551688, 0.319103, 7.621111, 6.583814, 1.056288, 0.762893, 3.930131, 29.294261, 18.808777, 13.157895, 18.308351, 43.809524, 17.768595, 31.428571, 14.63539, 5.836576, 13.366337, 4.961814, 12.782486, 54.140389, 62.739767, 25.19685, 53.339605, 61.525841, 51.305684, 63.929619, 22.823121, 38.083927, 1.159091, 20.658431, 12.182284, 25.421061, 20.39555, 15.660427, 33.918837, 27.202407, 31.296344, 9.428216, 64.480874, 25.292137, 28.17224, 24.695122, 18.9669, 48.379164, 7.244547, 49.516324, 48.806999, 42.079395, 15.288577, 36.097368, 16.864528, 36.605617, 24.949971, 32.202216, 15.550423, 21.865889, 41.800387, 26.050272, 38.35232, 14.152989, 45.304102, 6.852248, 39.820481, 10.481552, 0.425861, 0.467575, 1.050271, 0.781873, 0.451669, 1.514451, 6.311523, 1.227819, 16.135987, 0.491722, 0.349096, 0.476543, 29.819161, 44.144144, 11.452587, 56, 7.658158, 16.574586, 23.594053, 12.075552, 2.439024, 65.793103, 51.843287, 47.257384, 45.10826, 51.351351, 45.701249, 7.298838, 49.159664, 13.235721, 40.009308, 62.992652, 30.067125, 42.931896, 52.172303, 48.856417, 58.607969, 57.756056, 19.057454, 28.368794, 30.543933, 53.617733, 30.949859, 5.275029, 43.202073, 59.071118, 38.639943, 25.041356, 32.841823, 16.761522, 25.029516, 16.531286, 42.385267, 40.660232, 42.81265, 29.070523, 52.111411, 25.659879, 66.371681, 67.480046, 55.569206, 51.205796, 42.586207, 0.367745, 0.302285, 0.497295, 0.883996, 0.716765, 0.448012, 0.328626, 0.572086, 2.442077, 15.073684, 2.054305, 4.613297, 6.518078, 0.364312, 5.284913, 7.039106, 19.320938, 6.478659, 20.368713, 27.027027, 19.911504, 11.524501, 26.279863, 9.341501, 7.477305, 47.181719, 37.721555, 38.57868, 35.838009), UnemrT01 = c(6.06239, 7.421934, 12.1437, 6.967742, 2.719665, 7.838207, 8.085858, 5.003381, 7.19091, 6.03052, 6.279391, 3.885847, 7.249525, 3.767865, 5.585205, 6.496654, 18.286311, 16.689682, 5.960549, 5.726141, 3.897883, 5.148515, 3.578084, 5.191048, 5.798817, 2.935138, 2.96846, 3.290469, 3.698939, 2.691425, 4.585775, 14.869029, 10.41782, 3.076923, 5.828548, 6.671484, 4.965232, 3.109183, 5.982206, 9.316298, 5.796229, 4.465593, 4.36019, 2.645777, 5.624998, 5.753463, 4.167878, 5.745355, 5.865497, 6.079738, 4.589434, 2.758007, 5.275038, 8.571429, 6.242561, 11.622439, 7.239819, 12.350598, 3.709949, 3.311966, 5.147717, 6.339144, 13.273453, 10.028391, 6.415621, 5.221281, 2.15424, 3.746435, 5.143796, 5.673624, 6.336333, 4.653253, 5.61862, 8.363331, 5.573834, 5.586524, 3.489908, 8.665065, 5.398406, 5.015233, 2.143295, 2.276065, 2.759719, 3.769705, 8.889912, 5.629669, 5.144108, 3.600497, 5.405405, 3.399433, 6.068487, 3.698704, 8.493895, 6.319046, 4.612804, 4.392846, 3.491507, 2.573124, 6.122449, 4.43128, 4.833617, 4.348947, 4.943621, 4.004405, 6.606146, 4.202529, 4.835082, 4.33121, 8.056316, 6.550318, 9.84252, 5.081193, 12.121212, 7, 7.555262, 1.869159, 5.958549, 4.669261, 12.494422, 19.6875, 3.809524, 15.389431, 6.100796, 2.001881, 4.458874, 8.724016, 3.407542, 2.284569, 5.938448, 2.198853, 13.36772, 4.639262, 8.424908, 6.984719, 6.422553, 5.720858, 9.631886, 7.700063, 4.256553, 4.560742, 13.127499, 7.167602, 7.200811, 2.922515, 4.463895, 6.339235, 6.710119, 7.525326, 5.139822, 3.575593, 4.530499, 6.238922, 4.671632, 5.46305, 5.685698, 7.832546, 6.219839, 5.559189, 6.770335, 7.630162, 11.03574, 6.564108, 9.623993, 5.029412, 2.831226, 6.856146, 5.165409, 5.956961, 5.917458, 4.738235, 4.94433, 4.481024, 5.640914, 4.483216, 4.497696, 5.958702, 4.679102, 6.480184, 7.156274, 6.384455, 6.47715, 1.769912, 6.0406, 12.280702, 4.420085, 2.162162, 7.600418, 7.042809, 3.529412, 7.643312, 3.833072, 2.569373, 4.003079, 0.35, 5.191257, 10.851115, 10.526316, 4.028502, 9.019054, 6.188313, 8.377709, 4.551818, 5.106582, 3.063895, 6.528736, 5.407035, 7.758919, 14.533122, 8.795203, 4.398241, 6.147473, 5.829585, 3.471041, 5.874317, 6.480118, 3.674933, 6.866417, 5.14449, 6.615215, 8.164604, 10.044702, 4.729155, 8.525093, 5.978814, 3.329473, 6.767446, 0.673894, 2.685308, 6.365031, 4.689755, 2.602855, 5.52713, 3.888003, 3.922883, 5.351646, 6.147813, 5.227775, 4.818924, 4.318526, 6.918793, 6.505265, 3.946465, 4.729075, 5.786281, 7.185884, 7.264762, 6.478579, 7.479432, 5.949821, 5.144312, 1.333333, 3.211991, 12.816456, 0.677966, 13.852243, 6.557167, 4.44999, 6.408027, 5.806011, 7.009982), Income01 = c(6608.897469, 6700.375345, 8113.734335, 8254.78138, 8854.808951, 12089.546953, 11223.754399, 8828.002975, 11302.215662, 10328.830565, 9404.901993, 9307.385836, 7009.9788, 7103.904861, 7702.959498, 7986.308061, 7677.617968, 8545.609766, 8782.155674, 7960.399667, 11396.168364, 6108.573218, 11157.846552, 11996.398122, 9436.025072, 7601.731706, 6561.738552, 6748.683511, 9863.021507, 9387.335884, 13130.020655, 8762.927768, 9988.949414, 8399.15, 10101.165348, 7753.584266, 10180.431082, 7407.616034, 10082.5818, 9537.223848, 7360.044866, 8672.125241, 11896.61317, 9188.499391, 14497.393539, 13027.386484, 16958.46242, 15089.917269, 13509.901996, 14564.768268, 12059.234007, 9316.761604, 11308.205869, 9669.141958, 12864.63848, 11524.866425, 5421.733909, 8647.091748, 10105.426114, 10584.591181, 13106.51712, 9479.281342, 10616.655944, 12393.127582, 7760.382903, 10969.315256, 6398.641486, 8636.939034, 8843.261472, 6502.769207, 13388.724605, 13924.64678, 14271.725498, 10877.619318, 14228.969009, 9367.845149, 7842.985808, 9232.707133, 13043.96637, 9237.032366, 8939.464373, 8531.132636, 7079.01195, 9705.812326, 10289.083287, 15628.575709, 10835.459224, 9594.79381, 11236.559344, 7051.83592, 11307.658657, 11070.811825, 12699.732926, 7101.793614, 12663.682886, 7934.747765, 9600.666543, 10769.102635, 8778.104036, 8127.118396, 7128.254242, 13417.328212, 15546.215489, 19957.239934, 12066.649255, 16619.007474, 12282.968054, 11755.163618, 10706.765565, 11927.693805, 9532.880665, 11387.172049, 9107.992058, 11645.230736, 10136.635143, 9062.404166, 9373.082883, 9215.517837, 8595.080677, 10000.015403, 10381.576323, 12302.954954, 10143.649419, 8080.973395, 7264.695448, 10508.368742, 8208.923846, 7989.958401, 8120.027122, 6602.391386, 8780.451519, 8481.42276, 10295.348873, 10747.375964, 12023.819373, 9257.263138, 9872.956088, 8838.624722, 9985.949665, 9842.416491, 8227.782136, 12772.15574, 7037.584312, 9906.743471, 8421.408087, 7092.552025, 11206.061683, 7978.206235, 11793.212235, 7319.147599, 7329.73737, 10106.062749, 12371.653766, 9073.853801, 11092.951384, 9580.809008, 10865.369261, 8926.201158, 11146.901005, 10848.913392, 8667.022944, 10513.652134, 8745.057899, 12944.741373, 9574.161074, 11940.521945, 9033.625889, 12338.160411, 14933.37738, 13782.751527, 22713.819971, 18012.846533, 12459.106366, 19520.441161, 12800.674576, 13481.769913, 10213.399503, 13526.48684, 12390.076276, 11067.580526, 9832.88178, 7725.916147, 11786.19731, 5421.733909, 12235.922352, 10928.188656, 10360.87907, 10528.1431, 9412.224138, 7416.650771, 8427.782051, 8457.863978, 9470.432432, 8498.080328, 8750.030129, 11299.106498, 7540.976656, 12802.25257, 10893.762596, 6619.932397, 9065.74985, 8963.729293, 7700.217079, 7992.93997, 7945.20396, 7219.935905, 9949.272583, 8226.640394, 8733.883025, 8891.511834, 8947.602528, 11747.257893, 8242.186064, 6048.887084, 8859.143656, 11230.95668, 9704.660134, 11916.715607, 8981.63753, 10762.936983, 6722.157048, 9101.784044, 8561.815567, 9582.188937, 8169.299538, 8996.95022, 7689.421102, 7192.308026, 7431.348413, 7839.114314, 8012.720158, 13689.648935, 14776.121451, 22306.368861, 14017.158218, 18996.201304, 13472.29011, 13704.54664, 17935.643677, 11532.813908, 11591.464247, 16607.307299, 13089.828808, 11324.658709, 11750.491094, 10981.720456, 11245.356004, 11610.35747, 9269.2439, 10122.848992, 7566.666874, 11184.921534, 9166.012535, 11273.367499, 9593.545145, 12479.911946, 9011.115786, 10867.976043, 8924.440205, 8787.677923)), row.names = c(NA, -260L), class = "data.frame"), num.trees = 50L, mtry = 1, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 260
#> Number of independent variables: 3
#> Mtry: 1
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 2176044
#> R squared (OOB): 0.7109885
#> Foreig01 PrSect01 UnemrT01
#> 313610842 1042712615 406597134
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -9838.77 -1324.07 -85.92 -132.07 819.21 9273.48
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -1140.459 -122.688 -31.096 2.094 107.056 1707.389
#> Min Max Mean StD
#> Foreig01 3998476 75901492 17457393 13111412
#> PrSect01 5191832 102223351 23465323 15112667
#> UnemrT01 3604564 119790711 17162886 15174973
#>
#> Number of Observations: 260
#> Number of Independent Variables: 3
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 524487.746
#> R-squared (Not OOB) %: 93.007
#> AIC (Not OOB): 3432.246
#> AICc (Not OOB): 3432.403
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 4181086.762
#> R-squared (OOB) %: 44.254
#> AIC (OOB): 3971.981
#> AICc (OOB): 3972.138
#> Mean squared error Predicted (Not OOB): 76104.64
#> R-squared Predicted (Not OOB) %: 98.985
#> AIC Predicted (Not OOB): 2930.365
#> AICc Predicted (Not OOB): 2930.522
#>
#> Calculation time (in seconds): 1.7469
#> Ranger result
#>
#> Call:
#> ranger(Income01 ~ Foreig01 + PrSect01 + UnemrT01, data = structure(list( Foreig01 = c(1.339977, 0.890172, 2.552864, 2.463825, 1.991885, 4.665301, 4.815093, 4.382022, 6.62604, 3.013393, 4.472027, 5.276178, 2.344013, 1.753005, 1.10597, 1.760782, 6.263982, 4.065584, 3.023547, 12.317792, 2.945441, 0.617024, 3.954178, 7.017951, 4.023361, 3.13649, 1.317752, 5.473717, 2.312979, 10.641892, 5.642833, 1.499305, 13.219145, 3.31992, 7.423719, 2.717079, 2.318117, 2.357132, 5.681818, 6.042729, 3.481225, 3.104939, 10.527485, 7.249063, 17.426785, 8.201391, 6.166604, 5.75461, 7.740544, 7.603582, 13.960731, 11.762564, 5.361922, 7.531381, 2.763603, 14.937336, 4.221252, 9.575518, 3.185956, 5.633256, 24.533592, 9.557235, 13.828361, 8.46983, 1.307351, 1.326379, 0.739066, 4.091277, 2.284376, 8.65707, 4.493009, 3.314757, 3.725453, 3.927859, 3.358342, 0.963082, 1.421484, 4.76081, 2.206378, 8.534976, 4.862805, 5.376344, 1.918058, 2.70233, 4.551465, 17.443299, 10.773481, 2.803964, 1.872839, 6.492916, 9.309483, 5.264627, 9.116022, 7.177934, 5.821225, 8.276884, 3.97829, 2.672556, 10.791309, 2.37487, 3.115023, 8.890436, 13.82815, 7.36147, 5.509564, 5.664887, 5.355954, 8.611015, 8.331449, 8.184301, 7.056066, 5.495312, 7.097849, 6.582164, 8.803252, 13.518336, 6.801438, 8.509372, 14.364707, 7.974206, 7.730033, 7.830598, 11.019203, 6.504752, 6.726014, 13.819578, 17.966102, 11.988178, 9.663226, 7.916497, 8.088618, 6.225509, 5.934958, 7.347162, 9.349243, 6.040992, 4.023818, 1.907888, 6.657243, 8.846268, 6.229869, 2.352673, 14.74122, 3.812906, 6.746862, 0.8522, 6.373809, 5.834723, 4.265624, 1.43841, 8.990228, 1.611482, 5.886121, 14.233419, 5.19424, 10.037652, 10.275453, 4.161395, 2.328034, 10.180573, 6.349635, 4.502847, 6.597823, 4.128939, 9.413947, 9.631219, 11.469108, 5.017, 5.025733, 8.043588, 9.058772, 4.68281, 6.433254, 12.438579, 9.830658, 7.101978, 8.723006, 8.515141, 6.678547, 5.757121, 4.429016, 2.605863, 4.438607, 9.210526, 3.132648, 0.357995, 7.323496, 14.097339, 6.451613, 7.18703, 4.976455, 1.923704, 6.982319, 9.876543, 7.916303, 2.961633, 2.688983, 1.663541, 1.664659, 0.062147, 2.637279, 5.799806, 5.183398, 6.780155, 3.03135, 2.765511, 3.610861, 3.024963, 2.228995, 2.285309, 3.845944, 4.739134, 7.524262, 0.321543, 9.47912, 19.157686, 6.345588, 5.082042, 12.927131, 9.315655, 1.315209, 4.130708, 7.771945, 7.359933, 7.761194, 14.780181, 10.156464, 11.460221, 13.59267, 6.558645, 7.208287, 11.146436, 8.205619, 4.682677, 6.65286, 6.18246, 3.252711, 3.736699, 7.97901, 7.109372, 15.055692, 13.387156, 13.233622, 12.38675, 7.463988, 5.658489, 12.962963, 13.889667, 11.746032, 3.938444, 1.680672, 4.765343, 5.142483, 20.259019, 7.67155, 4.048727, 6.25157, 6.310989, 7.400555, 8.900264), PrSect01 = c(70.206767, 57.748085, 28.412363, 42.787795, 44.731183, 5.374961, 1.218122, 25.957295, 0.847579, 29.397378, 24.652368, 40.024104, 47.0726, 47.674767, 54.581307, 38.775762, 37.212276, 23.277291, 24.122207, 36.839789, 25.113386, 52.922756, 48.589099, 23.579571, 30.988275, 53.68586, 34.608031, 63.47282, 61.155645, 42.602916, 7.864911, 19.215686, 28.121995, 29.62963, 26.769912, 37.23871, 29.615408, 50.880597, 16.361599, 32.053002, 41.260379, 47.43295, 22.881027, 43.056592, 0.515649, 0.361087, 0.309353, 0.429726, 0.515624, 5.838417, 15.238266, 53.857884, 16.574001, 14.583333, 4.161377, 5.720258, 20, 25.454545, 37.478109, 16.464088, 4.341671, 26.903553, 16.006904, 11.268322, 56.706408, 37.692656, 38.823028, 37.303852, 6.445493, 34.664993, 1.590318, 20.292905, 31.595236, 17.261758, 21.718973, 23.253676, 29.723837, 41.352201, 38.636966, 45.666551, 56.900124, 44.190172, 21.224781, 66.130079, 6.68381, 22.484472, 12.420156, 19.500245, 39.303754, 68.01065, 39.224697, 32.363107, 44.260506, 12.056562, 26.758572, 15.523418, 52.281369, 67.8333, 44.060725, 43.198681, 33.688984, 30.265756, 49.669926, 0.463182, 0.491463, 0.633389, 0.517554, 0.366845, 0.82332, 0.398047, 0.458925, 0.283763, 0.613263, 0.474993, 0.438809, 3.019678, 4.702739, 1.169509, 4.541261, 9.045477, 10.352113, 15.295877, 4.719357, 5.552309, 28.228228, 12.236287, 31.683168, 44.98284, 11.545543, 5.725071, 22.823121, 38.083927, 1.159091, 20.658431, 12.182284, 25.421061, 20.39555, 15.660427, 33.918837, 27.202407, 31.296344, 9.428216, 64.480874, 25.292137, 28.17224, 24.695122, 18.9669, 48.379164, 7.244547, 49.516324, 48.806999, 42.079395, 15.288577, 36.097368, 16.864528, 36.605617, 24.949971, 32.202216, 15.550423, 21.865889, 41.800387, 26.050272, 38.35232, 14.152989, 45.304102, 6.852248, 39.820481, 10.481552, 0.425861, 0.467575, 1.050271, 0.781873, 0.451669, 1.514451, 6.311523, 1.227819, 16.135987, 0.491722, 0.349096, 0.476543, 29.819161, 44.144144, 11.452587, 56, 7.658158, 16.574586, 23.594053, 12.075552, 2.439024, 65.793103, 51.843287, 47.257384, 45.10826, 51.351351, 45.701249, 7.298838, 49.159664, 13.235721, 40.009308, 62.992652, 30.067125, 42.931896, 52.172303, 48.856417, 58.607969, 57.756056, 19.057454, 28.368794, 30.543933, 53.617733, 30.949859, 5.275029, 43.202073, 59.071118, 38.639943, 25.041356, 32.841823, 16.761522, 25.029516, 16.531286, 42.385267, 40.660232, 42.81265, 29.070523, 52.111411, 25.659879, 66.371681, 67.480046, 55.569206, 51.205796, 42.586207, 0.367745, 0.302285, 0.497295, 0.883996, 0.716765, 0.448012, 0.328626, 0.572086, 2.442077, 15.073684, 2.054305, 4.613297, 6.518078, 0.364312, 5.284913, 7.039106, 19.320938, 6.478659, 20.368713, 27.027027, 19.911504, 11.524501, 26.279863, 9.341501, 7.477305, 47.181719, 37.721555, 38.57868, 35.838009), UnemrT01 = c(6.06239, 7.421934, 12.1437, 6.967742, 2.719665, 7.838207, 8.085858, 5.003381, 7.19091, 6.03052, 6.279391, 3.885847, 7.249525, 3.767865, 5.585205, 6.496654, 18.286311, 16.689682, 5.960549, 5.726141, 3.897883, 5.148515, 3.578084, 5.191048, 5.798817, 2.935138, 2.96846, 3.290469, 3.698939, 2.691425, 4.585775, 14.869029, 10.41782, 3.076923, 5.828548, 6.671484, 4.965232, 3.109183, 5.982206, 9.316298, 5.796229, 4.465593, 4.36019, 2.645777, 5.624998, 5.753463, 4.167878, 5.745355, 5.865497, 6.079738, 4.589434, 2.758007, 5.275038, 8.571429, 6.242561, 11.622439, 7.239819, 12.350598, 3.709949, 3.311966, 5.147717, 6.339144, 13.273453, 10.028391, 6.415621, 9.922417, 3.685218, 3.719812, 9.030693, 3.714694, 5.505411, 6.182881, 7.934726, 15.764364, 5.158126, 5.308964, 7.464694, 7.826087, 2.809278, 3.49345, 2.975472, 2.118423, 4.704569, 4.11999, 6.254473, 4.280618, 8.684381, 6.216358, 6.173946, 1.793052, 3.33713, 1.926851, 4.549401, 6.386438, 6.448413, 12.317644, 3.294009, 3.381548, 8.367845, 6.25966, 4.726811, 5.224525, 2.620229, 6.080016, 4.621528, 4.380707, 3.008167, 4.928766, 4.781411, 4.256849, 5.234798, 7.413793, 4.699718, 5.877712, 4.797139, 3.40752, 9.118504, 5.834153, 8.343512, 10.848741, 11.965282, 10.889016, 11.034832, 4.83871, 5.932203, 8.846154, 1.941748, 5.839809, 8.836888, 6.666993, 13.36772, 4.639262, 8.424908, 6.984719, 6.422553, 5.720858, 9.631886, 7.700063, 4.256553, 4.560742, 13.127499, 7.167602, 7.200811, 2.922515, 4.463895, 6.339235, 6.710119, 7.525326, 5.139822, 3.575593, 4.530499, 6.238922, 4.671632, 5.46305, 5.685698, 7.832546, 6.219839, 5.559189, 6.770335, 7.630162, 11.03574, 6.564108, 9.623993, 5.029412, 2.831226, 6.856146, 5.165409, 5.956961, 5.917458, 4.738235, 4.94433, 4.481024, 5.640914, 4.483216, 4.497696, 5.958702, 4.679102, 6.480184, 7.156274, 6.384455, 6.47715, 1.769912, 6.0406, 12.280702, 4.420085, 2.162162, 7.600418, 7.042809, 3.529412, 7.643312, 3.833072, 2.569373, 4.003079, 0.35, 5.191257, 10.851115, 10.526316, 4.028502, 9.019054, 6.188313, 8.377709, 4.551818, 5.106582, 3.063895, 6.528736, 5.407035, 7.758919, 14.533122, 8.795203, 4.398241, 6.147473, 5.829585, 3.471041, 5.874317, 6.480118, 3.674933, 6.866417, 5.14449, 6.615215, 8.164604, 10.044702, 4.729155, 8.525093, 5.978814, 3.329473, 6.767446, 0.673894, 2.685308, 6.365031, 4.689755, 2.602855, 5.52713, 3.888003, 3.922883, 5.351646, 6.147813, 5.227775, 4.818924, 4.318526, 6.918793, 6.505265, 3.946465, 4.729075, 5.786281, 7.185884, 7.264762, 6.478579, 7.479432, 5.949821, 5.144312, 1.333333, 3.211991, 12.816456, 0.677966, 13.852243, 6.557167, 4.44999, 6.408027, 5.806011, 7.009982), Income01 = c(6608.897469, 6700.375345, 8113.734335, 8254.78138, 8854.808951, 12089.546953, 11223.754399, 8828.002975, 11302.215662, 10328.830565, 9404.901993, 9307.385836, 7009.9788, 7103.904861, 7702.959498, 7986.308061, 7677.617968, 8545.609766, 8782.155674, 7960.399667, 11396.168364, 6108.573218, 11157.846552, 11996.398122, 9436.025072, 7601.731706, 6561.738552, 6748.683511, 9863.021507, 9387.335884, 13130.020655, 8762.927768, 9988.949414, 8399.15, 10101.165348, 7753.584266, 10180.431082, 7407.616034, 10082.5818, 9537.223848, 7360.044866, 8672.125241, 11896.61317, 9188.499391, 14497.393539, 13027.386484, 16958.46242, 15089.917269, 13509.901996, 14564.768268, 12059.234007, 9316.761604, 11308.205869, 9669.141958, 12864.63848, 11524.866425, 5421.733909, 8647.091748, 10105.426114, 10584.591181, 13106.51712, 9479.281342, 10616.655944, 12393.127582, 7760.382903, 7677.032664, 9259.577454, 8888.786526, 11165.632108, 8698.950125, 16570.163224, 9969.430572, 8615.250773, 9911.50949, 11556.608348, 10024.730993, 10163.272567, 7449.295834, 8272.693788, 8712.479825, 7415.7966, 8129.73061, 10535.622267, 7714.695626, 11928.756482, 10429.892408, 10073.256411, 10269.971914, 8504.131187, 7590.490634, 10698.178577, 8754.512875, 9093.900799, 10771.582496, 8862.16138, 11126.873309, 7343.168771, 7435.687056, 8922.910571, 7529.754975, 8687.94206, 11534.499063, 9953.122462, 13966.464409, 14465.664932, 18932.911377, 19938.129264, 13399.832918, 20040.300881, 24573.894541, 12433.888268, 11085.772268, 12571.419116, 13734.152858, 16035.157882, 20617.695628, 11458.787767, 15578.637857, 12144.689612, 9532.880665, 9296.633841, 9167.76417, 11774.029563, 12157.022236, 9025.079789, 9261.601516, 8888.138597, 10033.980853, 13184.757809, 11612.229683, 8780.451519, 8481.42276, 10295.348873, 10747.375964, 12023.819373, 9257.263138, 9872.956088, 8838.624722, 9985.949665, 9842.416491, 8227.782136, 12772.15574, 7037.584312, 9906.743471, 8421.408087, 7092.552025, 11206.061683, 7978.206235, 11793.212235, 7319.147599, 7329.73737, 10106.062749, 12371.653766, 9073.853801, 11092.951384, 9580.809008, 10865.369261, 8926.201158, 11146.901005, 10848.913392, 8667.022944, 10513.652134, 8745.057899, 12944.741373, 9574.161074, 11940.521945, 9033.625889, 12338.160411, 14933.37738, 13782.751527, 22713.819971, 18012.846533, 12459.106366, 19520.441161, 12800.674576, 13481.769913, 10213.399503, 13526.48684, 12390.076276, 11067.580526, 9832.88178, 7725.916147, 11786.19731, 5421.733909, 12235.922352, 10928.188656, 10360.87907, 10528.1431, 9412.224138, 7416.650771, 8427.782051, 8457.863978, 9470.432432, 8498.080328, 8750.030129, 11299.106498, 7540.976656, 12802.25257, 10893.762596, 6619.932397, 9065.74985, 8963.729293, 7700.217079, 7992.93997, 7945.20396, 7219.935905, 9949.272583, 8226.640394, 8733.883025, 8891.511834, 8947.602528, 11747.257893, 8242.186064, 6048.887084, 8859.143656, 11230.95668, 9704.660134, 11916.715607, 8981.63753, 10762.936983, 6722.157048, 9101.784044, 8561.815567, 9582.188937, 8169.299538, 8996.95022, 7689.421102, 7192.308026, 7431.348413, 7839.114314, 8012.720158, 13689.648935, 14776.121451, 22306.368861, 14017.158218, 18996.201304, 13472.29011, 13704.54664, 17935.643677, 11532.813908, 11591.464247, 16607.307299, 13089.828808, 11324.658709, 11750.491094, 10981.720456, 11245.356004, 11610.35747, 9269.2439, 10122.848992, 7566.666874, 11184.921534, 9166.012535, 11273.367499, 9593.545145, 12479.911946, 9011.115786, 10867.976043, 8924.440205, 8787.677923)), row.names = c(NA, -260L), class = "data.frame"), num.trees = 50L, mtry = 1, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 260
#> Number of independent variables: 3
#> Mtry: 1
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 3077290
#> R squared (OOB): 0.6619007
#> Foreig01 PrSect01 UnemrT01
#> 456477408 1292640090 526521461
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -8558.5 -1334.4 -244.9 -192.3 1064.8 9797.8
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -1855.143 -151.348 -25.664 -1.435 115.644 1603.504
#> Min Max Mean StD
#> Foreig01 3653034 107971067 18420656 17001135
#> PrSect01 4376722 129414289 23711997 17971267
#> UnemrT01 2756979 124897600 20826932 22179466
#>
#> Number of Observations: 260
#> Number of Independent Variables: 3
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 703869.007
#> R-squared (Not OOB) %: 92.237
#> AIC (Not OOB): 3508.73
#> AICc (Not OOB): 3508.887
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 5143440.547
#> R-squared (OOB) %: 43.271
#> AIC (OOB): 4025.841
#> AICc (OOB): 4025.997
#> Mean squared error Predicted (Not OOB): 98477.184
#> R-squared Predicted (Not OOB) %: 98.914
#> AIC Predicted (Not OOB): 2997.371
#> AICc Predicted (Not OOB): 2997.528
#>
#> Calculation time (in seconds): 28.0712
#> Ranger result
#>
#> Call:
#> ranger(Income01 ~ Foreig01 + PrSect01 + UnemrT01, data = structure(list( Foreig01 = c(1.339977, 0.890172, 2.552864, 2.463825, 1.991885, 4.665301, 4.815093, 4.382022, 6.62604, 3.013393, 4.472027, 5.276178, 2.344013, 1.753005, 1.10597, 1.760782, 6.263982, 4.065584, 3.023547, 12.317792, 2.945441, 0.617024, 3.954178, 7.017951, 4.023361, 3.13649, 1.317752, 5.473717, 2.312979, 10.641892, 5.642833, 1.499305, 13.219145, 3.31992, 7.423719, 2.717079, 2.318117, 2.357132, 5.681818, 6.042729, 3.481225, 3.104939, 10.527485, 7.249063, 17.426785, 8.201391, 6.166604, 5.75461, 7.740544, 7.603582, 13.960731, 11.762564, 5.361922, 7.531381, 2.763603, 14.937336, 4.221252, 9.575518, 3.185956, 5.633256, 24.533592, 9.557235, 13.828361, 8.46983, 1.307351, 1.326379, 0.739066, 4.091277, 2.284376, 8.65707, 4.493009, 3.314757, 3.725453, 3.927859, 3.358342, 0.963082, 1.421484, 4.76081, 2.206378, 8.534976, 4.862805, 5.376344, 1.918058, 2.70233, 4.551465, 17.443299, 10.773481, 2.803964, 1.872839, 6.492916, 9.309483, 5.264627, 9.116022, 7.177934, 5.821225, 8.276884, 3.97829, 2.672556, 10.791309, 2.37487, 3.115023, 8.890436, 13.82815, 7.36147, 5.509564, 5.664887, 5.355954, 8.611015, 8.331449, 8.184301, 7.056066, 5.495312, 7.097849, 6.582164, 8.803252, 13.518336, 6.801438, 8.509372, 14.364707, 7.974206, 7.730033, 7.830598, 11.019203, 6.504752, 6.726014, 13.819578, 17.966102, 11.988178, 9.663226, 7.916497, 1.99678, 0.038337, 0.598828, 0.695308, 1.317189, 7.200951, 6.90266, 2.722651, 4.978021, 6.001122, 3.628457, 2.303796, 18.517776, 2.034241, 2.966533, 5.752894, 8.021119, 2.762162, 4.345621, 18.693849, 9.498062, 6.852363, 5.997017, 4.315751, 2.739917, 7.213248, 6.868, 5.301864, 2.284037, 5.205073, 1.953719, 7.753512, 6.779058, 8.847185, 7.827199, 9.441715, 8.244769, 4.805635, 5.155828, 7.097387, 6.705269, 13.038322, 7.206725, 5.871832, 5.506176, 11.399549, 4.899598, 1.143241, 4.210526, 10.188476, 1.102941, 9.291085, 4.733728, 14.470678, 6.573276, 4.912837, 9.170128, 5.853358, 3.513776, 3.856971, 4.195804, 2.148056, 14.680209, 8.889386, 4.960728, 2.961633, 2.688983, 1.663541, 1.664659, 0.062147, 2.637279, 5.799806, 5.183398, 6.780155, 3.03135, 2.765511, 3.610861, 3.024963, 2.228995, 2.285309, 3.845944, 4.739134, 7.524262, 0.321543, 9.47912, 19.157686, 6.345588, 5.082042, 12.927131, 9.315655, 1.315209, 4.130708, 7.771945, 7.359933, 7.761194, 14.780181, 10.156464, 11.460221, 13.59267, 6.558645, 7.208287, 11.146436, 8.205619, 4.682677, 6.65286, 6.18246, 3.252711, 3.736699, 7.97901, 7.109372, 15.055692, 13.387156, 13.233622, 12.38675, 7.463988, 5.658489, 12.962963, 13.889667, 11.746032, 3.938444, 1.680672, 4.765343, 5.142483, 20.259019, 7.67155, 4.048727, 6.25157, 6.310989, 7.400555, 8.900264), PrSect01 = c(70.206767, 57.748085, 28.412363, 42.787795, 44.731183, 5.374961, 1.218122, 25.957295, 0.847579, 29.397378, 24.652368, 40.024104, 47.0726, 47.674767, 54.581307, 38.775762, 37.212276, 23.277291, 24.122207, 36.839789, 25.113386, 52.922756, 48.589099, 23.579571, 30.988275, 53.68586, 34.608031, 63.47282, 61.155645, 42.602916, 7.864911, 19.215686, 28.121995, 29.62963, 26.769912, 37.23871, 29.615408, 50.880597, 16.361599, 32.053002, 41.260379, 47.43295, 22.881027, 43.056592, 0.515649, 0.361087, 0.309353, 0.429726, 0.515624, 5.838417, 15.238266, 53.857884, 16.574001, 14.583333, 4.161377, 5.720258, 20, 25.454545, 37.478109, 16.464088, 4.341671, 26.903553, 16.006904, 11.268322, 56.706408, 37.692656, 38.823028, 37.303852, 6.445493, 34.664993, 1.590318, 20.292905, 31.595236, 17.261758, 21.718973, 23.253676, 29.723837, 41.352201, 38.636966, 45.666551, 56.900124, 44.190172, 21.224781, 66.130079, 6.68381, 22.484472, 12.420156, 19.500245, 39.303754, 68.01065, 39.224697, 32.363107, 44.260506, 12.056562, 26.758572, 15.523418, 52.281369, 67.8333, 44.060725, 43.198681, 33.688984, 30.265756, 49.669926, 0.463182, 0.491463, 0.633389, 0.517554, 0.366845, 0.82332, 0.398047, 0.458925, 0.283763, 0.613263, 0.474993, 0.438809, 3.019678, 4.702739, 1.169509, 4.541261, 9.045477, 10.352113, 15.295877, 4.719357, 5.552309, 28.228228, 12.236287, 31.683168, 44.98284, 11.545543, 5.725071, 21.817852, 92.912436, 37.69697, 44.698545, 58.076846, 0.834415, 12.871646, 1.480707, 1.154857, 9.59213, 43.03042, 56.606724, 15.64907, 6.843546, 27.572169, 55.736337, 56.198347, 68.631464, 42.735043, 6.319515, 8.396947, 51.096154, 30.266171, 17.692308, 51.948052, 14.317028, 20.297168, 2.567481, 40.04717, 17.467761, 33.86938, 46.38916, 34.49692, 36.956522, 55.393008, 60.579377, 0.278552, 0.45586, 0.521431, 0.551688, 0.319103, 7.621111, 6.583814, 1.056288, 0.762893, 3.930131, 29.294261, 18.808777, 13.157895, 18.308351, 43.809524, 17.768595, 31.428571, 14.63539, 5.836576, 13.366337, 4.961814, 12.782486, 54.140389, 62.739767, 25.19685, 53.339605, 61.525841, 51.305684, 63.929619, 7.298838, 49.159664, 13.235721, 40.009308, 62.992652, 30.067125, 42.931896, 52.172303, 48.856417, 58.607969, 57.756056, 19.057454, 28.368794, 30.543933, 53.617733, 30.949859, 5.275029, 43.202073, 59.071118, 38.639943, 25.041356, 32.841823, 16.761522, 25.029516, 16.531286, 42.385267, 40.660232, 42.81265, 29.070523, 52.111411, 25.659879, 66.371681, 67.480046, 55.569206, 51.205796, 42.586207, 0.367745, 0.302285, 0.497295, 0.883996, 0.716765, 0.448012, 0.328626, 0.572086, 2.442077, 15.073684, 2.054305, 4.613297, 6.518078, 0.364312, 5.284913, 7.039106, 19.320938, 6.478659, 20.368713, 27.027027, 19.911504, 11.524501, 26.279863, 9.341501, 7.477305, 47.181719, 37.721555, 38.57868, 35.838009 ), UnemrT01 = c(6.06239, 7.421934, 12.1437, 6.967742, 2.719665, 7.838207, 8.085858, 5.003381, 7.19091, 6.03052, 6.279391, 3.885847, 7.249525, 3.767865, 5.585205, 6.496654, 18.286311, 16.689682, 5.960549, 5.726141, 3.897883, 5.148515, 3.578084, 5.191048, 5.798817, 2.935138, 2.96846, 3.290469, 3.698939, 2.691425, 4.585775, 14.869029, 10.41782, 3.076923, 5.828548, 6.671484, 4.965232, 3.109183, 5.982206, 9.316298, 5.796229, 4.465593, 4.36019, 2.645777, 5.624998, 5.753463, 4.167878, 5.745355, 5.865497, 6.079738, 4.589434, 2.758007, 5.275038, 8.571429, 6.242561, 11.622439, 7.239819, 12.350598, 3.709949, 3.311966, 5.147717, 6.339144, 13.273453, 10.028391, 6.415621, 9.922417, 3.685218, 3.719812, 9.030693, 3.714694, 5.505411, 6.182881, 7.934726, 15.764364, 5.158126, 5.308964, 7.464694, 7.826087, 2.809278, 3.49345, 2.975472, 2.118423, 4.704569, 4.11999, 6.254473, 4.280618, 8.684381, 6.216358, 6.173946, 1.793052, 3.33713, 1.926851, 4.549401, 6.386438, 6.448413, 12.317644, 3.294009, 3.381548, 8.367845, 6.25966, 4.726811, 5.224525, 2.620229, 6.080016, 4.621528, 4.380707, 3.008167, 4.928766, 4.781411, 4.256849, 5.234798, 7.413793, 4.699718, 5.877712, 4.797139, 3.40752, 9.118504, 5.834153, 8.343512, 10.848741, 11.965282, 10.889016, 11.034832, 4.83871, 5.932203, 8.846154, 1.941748, 5.839809, 8.836888, 6.666993, 5.221281, 2.15424, 3.746435, 5.143796, 5.673624, 6.336333, 4.653253, 5.61862, 8.363331, 5.573834, 5.586524, 3.489908, 8.665065, 5.398406, 5.015233, 2.143295, 2.276065, 2.759719, 3.769705, 8.889912, 5.629669, 5.144108, 3.600497, 5.405405, 3.399433, 6.068487, 3.698704, 8.493895, 6.319046, 4.612804, 4.392846, 3.491507, 2.573124, 6.122449, 4.43128, 4.833617, 4.348947, 4.943621, 4.004405, 6.606146, 4.202529, 4.835082, 4.33121, 8.056316, 6.550318, 9.84252, 5.081193, 12.121212, 7, 7.555262, 1.869159, 5.958549, 4.669261, 12.494422, 19.6875, 3.809524, 15.389431, 6.100796, 2.001881, 4.458874, 8.724016, 3.407542, 2.284569, 5.938448, 2.198853, 10.851115, 10.526316, 4.028502, 9.019054, 6.188313, 8.377709, 4.551818, 5.106582, 3.063895, 6.528736, 5.407035, 7.758919, 14.533122, 8.795203, 4.398241, 6.147473, 5.829585, 3.471041, 5.874317, 6.480118, 3.674933, 6.866417, 5.14449, 6.615215, 8.164604, 10.044702, 4.729155, 8.525093, 5.978814, 3.329473, 6.767446, 0.673894, 2.685308, 6.365031, 4.689755, 2.602855, 5.52713, 3.888003, 3.922883, 5.351646, 6.147813, 5.227775, 4.818924, 4.318526, 6.918793, 6.505265, 3.946465, 4.729075, 5.786281, 7.185884, 7.264762, 6.478579, 7.479432, 5.949821, 5.144312, 1.333333, 3.211991, 12.816456, 0.677966, 13.852243, 6.557167, 4.44999, 6.408027, 5.806011, 7.009982), Income01 = c(6608.897469, 6700.375345, 8113.734335, 8254.78138, 8854.808951, 12089.546953, 11223.754399, 8828.002975, 11302.215662, 10328.830565, 9404.901993, 9307.385836, 7009.9788, 7103.904861, 7702.959498, 7986.308061, 7677.617968, 8545.609766, 8782.155674, 7960.399667, 11396.168364, 6108.573218, 11157.846552, 11996.398122, 9436.025072, 7601.731706, 6561.738552, 6748.683511, 9863.021507, 9387.335884, 13130.020655, 8762.927768, 9988.949414, 8399.15, 10101.165348, 7753.584266, 10180.431082, 7407.616034, 10082.5818, 9537.223848, 7360.044866, 8672.125241, 11896.61317, 9188.499391, 14497.393539, 13027.386484, 16958.46242, 15089.917269, 13509.901996, 14564.768268, 12059.234007, 9316.761604, 11308.205869, 9669.141958, 12864.63848, 11524.866425, 5421.733909, 8647.091748, 10105.426114, 10584.591181, 13106.51712, 9479.281342, 10616.655944, 12393.127582, 7760.382903, 7677.032664, 9259.577454, 8888.786526, 11165.632108, 8698.950125, 16570.163224, 9969.430572, 8615.250773, 9911.50949, 11556.608348, 10024.730993, 10163.272567, 7449.295834, 8272.693788, 8712.479825, 7415.7966, 8129.73061, 10535.622267, 7714.695626, 11928.756482, 10429.892408, 10073.256411, 10269.971914, 8504.131187, 7590.490634, 10698.178577, 8754.512875, 9093.900799, 10771.582496, 8862.16138, 11126.873309, 7343.168771, 7435.687056, 8922.910571, 7529.754975, 8687.94206, 11534.499063, 9953.122462, 13966.464409, 14465.664932, 18932.911377, 19938.129264, 13399.832918, 20040.300881, 24573.894541, 12433.888268, 11085.772268, 12571.419116, 13734.152858, 16035.157882, 20617.695628, 11458.787767, 15578.637857, 12144.689612, 9532.880665, 9296.633841, 9167.76417, 11774.029563, 12157.022236, 9025.079789, 9261.601516, 8888.138597, 10033.980853, 13184.757809, 11612.229683, 10969.315256, 6398.641486, 8636.939034, 8843.261472, 6502.769207, 13388.724605, 13924.64678, 14271.725498, 10877.619318, 14228.969009, 9367.845149, 7842.985808, 9232.707133, 13043.96637, 9237.032366, 8939.464373, 8531.132636, 7079.01195, 9705.812326, 10289.083287, 15628.575709, 10835.459224, 9594.79381, 11236.559344, 7051.83592, 11307.658657, 11070.811825, 12699.732926, 7101.793614, 12663.682886, 7934.747765, 9600.666543, 10769.102635, 8778.104036, 8127.118396, 7128.254242, 13417.328212, 15546.215489, 19957.239934, 12066.649255, 16619.007474, 12282.968054, 11755.163618, 10706.765565, 11927.693805, 9532.880665, 11387.172049, 9107.992058, 11645.230736, 10136.635143, 9062.404166, 9373.082883, 9215.517837, 8595.080677, 10000.015403, 10381.576323, 12302.954954, 10143.649419, 8080.973395, 7264.695448, 10508.368742, 8208.923846, 7989.958401, 8120.027122, 6602.391386, 11299.106498, 7540.976656, 12802.25257, 10893.762596, 6619.932397, 9065.74985, 8963.729293, 7700.217079, 7992.93997, 7945.20396, 7219.935905, 9949.272583, 8226.640394, 8733.883025, 8891.511834, 8947.602528, 11747.257893, 8242.186064, 6048.887084, 8859.143656, 11230.95668, 9704.660134, 11916.715607, 8981.63753, 10762.936983, 6722.157048, 9101.784044, 8561.815567, 9582.188937, 8169.299538, 8996.95022, 7689.421102, 7192.308026, 7431.348413, 7839.114314, 8012.720158, 13689.648935, 14776.121451, 22306.368861, 14017.158218, 18996.201304, 13472.29011, 13704.54664, 17935.643677, 11532.813908, 11591.464247, 16607.307299, 13089.828808, 11324.658709, 11750.491094, 10981.720456, 11245.356004, 11610.35747, 9269.2439, 10122.848992, 7566.666874, 11184.921534, 9166.012535, 11273.367499, 9593.545145, 12479.911946, 9011.115786, 10867.976043, 8924.440205, 8787.677923)), row.names = c(NA, -260L), class = "data.frame"), num.trees = 50L, mtry = 1, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 260
#> Number of independent variables: 3
#> Mtry: 1
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 2899548
#> R squared (OOB): 0.6703987
#> Foreig01 PrSect01 UnemrT01
#> 474892637 1145850590 522926157
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -6883.81 -1034.21 -152.77 -73.56 975.02 9234.91
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -1231.987 -141.761 -18.627 4.329 90.711 2219.220
#> Min Max Mean StD
#> Foreig01 3174892 112410892 18682794 15485809
#> PrSect01 3486886 119249689 24806382 17402903
#> UnemrT01 2286145 130163140 21579468 22733938
#>
#> Number of Observations: 260
#> Number of Independent Variables: 3
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 691826.112
#> R-squared (Not OOB) %: 92.105
#> AIC (Not OOB): 3504.243
#> AICc (Not OOB): 3504.4
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 3623833.587
#> R-squared (OOB) %: 58.648
#> AIC (OOB): 3934.791
#> AICc (OOB): 3934.948
#> Mean squared error Predicted (Not OOB): 88382.266
#> R-squared Predicted (Not OOB) %: 98.991
#> AIC Predicted (Not OOB): 2969.251
#> AICc Predicted (Not OOB): 2969.408
#>
#> Calculation time (in seconds): 5.2595
#> Ranger result
#>
#> Call:
#> ranger(Income01 ~ Foreig01 + PrSect01 + UnemrT01, data = structure(list( Foreig01 = c(1.339977, 0.890172, 2.552864, 2.463825, 1.991885, 4.665301, 4.815093, 4.382022, 6.62604, 3.013393, 4.472027, 5.276178, 2.344013, 1.753005, 1.10597, 1.760782, 6.263982, 4.065584, 3.023547, 12.317792, 2.945441, 0.617024, 3.954178, 7.017951, 4.023361, 3.13649, 1.317752, 5.473717, 2.312979, 10.641892, 5.642833, 1.499305, 13.219145, 3.31992, 7.423719, 2.717079, 2.318117, 2.357132, 5.681818, 6.042729, 3.481225, 3.104939, 10.527485, 7.249063, 17.426785, 8.201391, 6.166604, 5.75461, 7.740544, 7.603582, 13.960731, 11.762564, 5.361922, 7.531381, 2.763603, 14.937336, 4.221252, 9.575518, 3.185956, 5.633256, 24.533592, 9.557235, 13.828361, 8.46983, 1.307351, 1.326379, 0.739066, 4.091277, 2.284376, 8.65707, 4.493009, 3.314757, 3.725453, 3.927859, 3.358342, 0.963082, 1.421484, 4.76081, 2.206378, 8.534976, 4.862805, 5.376344, 1.918058, 2.70233, 4.551465, 17.443299, 10.773481, 2.803964, 1.872839, 6.492916, 9.309483, 5.264627, 9.116022, 7.177934, 5.821225, 8.276884, 3.97829, 2.672556, 10.791309, 2.37487, 3.115023, 8.890436, 13.82815, 7.36147, 5.509564, 5.664887, 5.355954, 8.611015, 8.331449, 8.184301, 7.056066, 5.495312, 7.097849, 6.582164, 8.803252, 13.518336, 6.801438, 8.509372, 14.364707, 7.974206, 7.730033, 7.830598, 11.019203, 6.504752, 6.726014, 13.819578, 17.966102, 11.988178, 9.663226, 7.916497, 1.99678, 0.038337, 0.598828, 0.695308, 1.317189, 7.200951, 6.90266, 2.722651, 4.978021, 6.001122, 3.628457, 2.303796, 18.517776, 2.034241, 2.966533, 5.752894, 8.021119, 2.762162, 4.345621, 18.693849, 9.498062, 6.852363, 5.997017, 4.315751, 2.739917, 7.213248, 6.868, 5.301864, 2.284037, 5.205073, 1.953719, 7.753512, 6.779058, 8.847185, 7.827199, 9.441715, 8.244769, 4.805635, 5.155828, 7.097387, 6.705269, 13.038322, 7.206725, 5.871832, 5.506176, 11.399549, 4.899598, 1.143241, 4.210526, 10.188476, 1.102941, 9.291085, 4.733728, 14.470678, 6.573276, 4.912837, 9.170128, 5.853358, 3.513776, 3.856971, 4.195804, 2.148056, 14.680209, 8.889386, 4.960728, 8.088618, 6.225509, 5.934958, 7.347162, 9.349243, 6.040992, 4.023818, 1.907888, 6.657243, 8.846268, 6.229869, 2.352673, 14.74122, 3.812906, 6.746862, 0.8522, 6.373809, 5.834723, 4.265624, 1.43841, 8.990228, 1.611482, 5.886121, 14.233419, 5.19424, 10.037652, 10.275453, 4.161395, 2.328034, 10.180573, 6.349635, 4.502847, 6.597823, 4.128939, 9.413947, 9.631219, 11.469108, 5.017, 5.025733, 8.043588, 9.058772, 4.68281, 6.433254, 12.438579, 9.830658, 7.101978, 8.723006, 8.515141, 6.678547, 5.757121, 4.429016, 2.605863, 4.438607, 9.210526, 3.132648, 0.357995, 7.323496, 14.097339, 6.451613, 7.18703, 4.976455, 1.923704, 6.982319, 9.876543, 7.916303), PrSect01 = c(70.206767, 57.748085, 28.412363, 42.787795, 44.731183, 5.374961, 1.218122, 25.957295, 0.847579, 29.397378, 24.652368, 40.024104, 47.0726, 47.674767, 54.581307, 38.775762, 37.212276, 23.277291, 24.122207, 36.839789, 25.113386, 52.922756, 48.589099, 23.579571, 30.988275, 53.68586, 34.608031, 63.47282, 61.155645, 42.602916, 7.864911, 19.215686, 28.121995, 29.62963, 26.769912, 37.23871, 29.615408, 50.880597, 16.361599, 32.053002, 41.260379, 47.43295, 22.881027, 43.056592, 0.515649, 0.361087, 0.309353, 0.429726, 0.515624, 5.838417, 15.238266, 53.857884, 16.574001, 14.583333, 4.161377, 5.720258, 20, 25.454545, 37.478109, 16.464088, 4.341671, 26.903553, 16.006904, 11.268322, 56.706408, 37.692656, 38.823028, 37.303852, 6.445493, 34.664993, 1.590318, 20.292905, 31.595236, 17.261758, 21.718973, 23.253676, 29.723837, 41.352201, 38.636966, 45.666551, 56.900124, 44.190172, 21.224781, 66.130079, 6.68381, 22.484472, 12.420156, 19.500245, 39.303754, 68.01065, 39.224697, 32.363107, 44.260506, 12.056562, 26.758572, 15.523418, 52.281369, 67.8333, 44.060725, 43.198681, 33.688984, 30.265756, 49.669926, 0.463182, 0.491463, 0.633389, 0.517554, 0.366845, 0.82332, 0.398047, 0.458925, 0.283763, 0.613263, 0.474993, 0.438809, 3.019678, 4.702739, 1.169509, 4.541261, 9.045477, 10.352113, 15.295877, 4.719357, 5.552309, 28.228228, 12.236287, 31.683168, 44.98284, 11.545543, 5.725071, 21.817852, 92.912436, 37.69697, 44.698545, 58.076846, 0.834415, 12.871646, 1.480707, 1.154857, 9.59213, 43.03042, 56.606724, 15.64907, 6.843546, 27.572169, 55.736337, 56.198347, 68.631464, 42.735043, 6.319515, 8.396947, 51.096154, 30.266171, 17.692308, 51.948052, 14.317028, 20.297168, 2.567481, 40.04717, 17.467761, 33.86938, 46.38916, 34.49692, 36.956522, 55.393008, 60.579377, 0.278552, 0.45586, 0.521431, 0.551688, 0.319103, 7.621111, 6.583814, 1.056288, 0.762893, 3.930131, 29.294261, 18.808777, 13.157895, 18.308351, 43.809524, 17.768595, 31.428571, 14.63539, 5.836576, 13.366337, 4.961814, 12.782486, 54.140389, 62.739767, 25.19685, 53.339605, 61.525841, 51.305684, 63.929619, 22.823121, 38.083927, 1.159091, 20.658431, 12.182284, 25.421061, 20.39555, 15.660427, 33.918837, 27.202407, 31.296344, 9.428216, 64.480874, 25.292137, 28.17224, 24.695122, 18.9669, 48.379164, 7.244547, 49.516324, 48.806999, 42.079395, 15.288577, 36.097368, 16.864528, 36.605617, 24.949971, 32.202216, 15.550423, 21.865889, 41.800387, 26.050272, 38.35232, 14.152989, 45.304102, 6.852248, 39.820481, 10.481552, 0.425861, 0.467575, 1.050271, 0.781873, 0.451669, 1.514451, 6.311523, 1.227819, 16.135987, 0.491722, 0.349096, 0.476543, 29.819161, 44.144144, 11.452587, 56, 7.658158, 16.574586, 23.594053, 12.075552, 2.439024, 65.793103, 51.843287, 47.257384, 45.10826, 51.351351, 45.701249 ), UnemrT01 = c(6.06239, 7.421934, 12.1437, 6.967742, 2.719665, 7.838207, 8.085858, 5.003381, 7.19091, 6.03052, 6.279391, 3.885847, 7.249525, 3.767865, 5.585205, 6.496654, 18.286311, 16.689682, 5.960549, 5.726141, 3.897883, 5.148515, 3.578084, 5.191048, 5.798817, 2.935138, 2.96846, 3.290469, 3.698939, 2.691425, 4.585775, 14.869029, 10.41782, 3.076923, 5.828548, 6.671484, 4.965232, 3.109183, 5.982206, 9.316298, 5.796229, 4.465593, 4.36019, 2.645777, 5.624998, 5.753463, 4.167878, 5.745355, 5.865497, 6.079738, 4.589434, 2.758007, 5.275038, 8.571429, 6.242561, 11.622439, 7.239819, 12.350598, 3.709949, 3.311966, 5.147717, 6.339144, 13.273453, 10.028391, 6.415621, 9.922417, 3.685218, 3.719812, 9.030693, 3.714694, 5.505411, 6.182881, 7.934726, 15.764364, 5.158126, 5.308964, 7.464694, 7.826087, 2.809278, 3.49345, 2.975472, 2.118423, 4.704569, 4.11999, 6.254473, 4.280618, 8.684381, 6.216358, 6.173946, 1.793052, 3.33713, 1.926851, 4.549401, 6.386438, 6.448413, 12.317644, 3.294009, 3.381548, 8.367845, 6.25966, 4.726811, 5.224525, 2.620229, 6.080016, 4.621528, 4.380707, 3.008167, 4.928766, 4.781411, 4.256849, 5.234798, 7.413793, 4.699718, 5.877712, 4.797139, 3.40752, 9.118504, 5.834153, 8.343512, 10.848741, 11.965282, 10.889016, 11.034832, 4.83871, 5.932203, 8.846154, 1.941748, 5.839809, 8.836888, 6.666993, 5.221281, 2.15424, 3.746435, 5.143796, 5.673624, 6.336333, 4.653253, 5.61862, 8.363331, 5.573834, 5.586524, 3.489908, 8.665065, 5.398406, 5.015233, 2.143295, 2.276065, 2.759719, 3.769705, 8.889912, 5.629669, 5.144108, 3.600497, 5.405405, 3.399433, 6.068487, 3.698704, 8.493895, 6.319046, 4.612804, 4.392846, 3.491507, 2.573124, 6.122449, 4.43128, 4.833617, 4.348947, 4.943621, 4.004405, 6.606146, 4.202529, 4.835082, 4.33121, 8.056316, 6.550318, 9.84252, 5.081193, 12.121212, 7, 7.555262, 1.869159, 5.958549, 4.669261, 12.494422, 19.6875, 3.809524, 15.389431, 6.100796, 2.001881, 4.458874, 8.724016, 3.407542, 2.284569, 5.938448, 2.198853, 13.36772, 4.639262, 8.424908, 6.984719, 6.422553, 5.720858, 9.631886, 7.700063, 4.256553, 4.560742, 13.127499, 7.167602, 7.200811, 2.922515, 4.463895, 6.339235, 6.710119, 7.525326, 5.139822, 3.575593, 4.530499, 6.238922, 4.671632, 5.46305, 5.685698, 7.832546, 6.219839, 5.559189, 6.770335, 7.630162, 11.03574, 6.564108, 9.623993, 5.029412, 2.831226, 6.856146, 5.165409, 5.956961, 5.917458, 4.738235, 4.94433, 4.481024, 5.640914, 4.483216, 4.497696, 5.958702, 4.679102, 6.480184, 7.156274, 6.384455, 6.47715, 1.769912, 6.0406, 12.280702, 4.420085, 2.162162, 7.600418, 7.042809, 3.529412, 7.643312, 3.833072, 2.569373, 4.003079, 0.35, 5.191257), Income01 = c(6608.897469, 6700.375345, 8113.734335, 8254.78138, 8854.808951, 12089.546953, 11223.754399, 8828.002975, 11302.215662, 10328.830565, 9404.901993, 9307.385836, 7009.9788, 7103.904861, 7702.959498, 7986.308061, 7677.617968, 8545.609766, 8782.155674, 7960.399667, 11396.168364, 6108.573218, 11157.846552, 11996.398122, 9436.025072, 7601.731706, 6561.738552, 6748.683511, 9863.021507, 9387.335884, 13130.020655, 8762.927768, 9988.949414, 8399.15, 10101.165348, 7753.584266, 10180.431082, 7407.616034, 10082.5818, 9537.223848, 7360.044866, 8672.125241, 11896.61317, 9188.499391, 14497.393539, 13027.386484, 16958.46242, 15089.917269, 13509.901996, 14564.768268, 12059.234007, 9316.761604, 11308.205869, 9669.141958, 12864.63848, 11524.866425, 5421.733909, 8647.091748, 10105.426114, 10584.591181, 13106.51712, 9479.281342, 10616.655944, 12393.127582, 7760.382903, 7677.032664, 9259.577454, 8888.786526, 11165.632108, 8698.950125, 16570.163224, 9969.430572, 8615.250773, 9911.50949, 11556.608348, 10024.730993, 10163.272567, 7449.295834, 8272.693788, 8712.479825, 7415.7966, 8129.73061, 10535.622267, 7714.695626, 11928.756482, 10429.892408, 10073.256411, 10269.971914, 8504.131187, 7590.490634, 10698.178577, 8754.512875, 9093.900799, 10771.582496, 8862.16138, 11126.873309, 7343.168771, 7435.687056, 8922.910571, 7529.754975, 8687.94206, 11534.499063, 9953.122462, 13966.464409, 14465.664932, 18932.911377, 19938.129264, 13399.832918, 20040.300881, 24573.894541, 12433.888268, 11085.772268, 12571.419116, 13734.152858, 16035.157882, 20617.695628, 11458.787767, 15578.637857, 12144.689612, 9532.880665, 9296.633841, 9167.76417, 11774.029563, 12157.022236, 9025.079789, 9261.601516, 8888.138597, 10033.980853, 13184.757809, 11612.229683, 10969.315256, 6398.641486, 8636.939034, 8843.261472, 6502.769207, 13388.724605, 13924.64678, 14271.725498, 10877.619318, 14228.969009, 9367.845149, 7842.985808, 9232.707133, 13043.96637, 9237.032366, 8939.464373, 8531.132636, 7079.01195, 9705.812326, 10289.083287, 15628.575709, 10835.459224, 9594.79381, 11236.559344, 7051.83592, 11307.658657, 11070.811825, 12699.732926, 7101.793614, 12663.682886, 7934.747765, 9600.666543, 10769.102635, 8778.104036, 8127.118396, 7128.254242, 13417.328212, 15546.215489, 19957.239934, 12066.649255, 16619.007474, 12282.968054, 11755.163618, 10706.765565, 11927.693805, 9532.880665, 11387.172049, 9107.992058, 11645.230736, 10136.635143, 9062.404166, 9373.082883, 9215.517837, 8595.080677, 10000.015403, 10381.576323, 12302.954954, 10143.649419, 8080.973395, 7264.695448, 10508.368742, 8208.923846, 7989.958401, 8120.027122, 6602.391386, 8780.451519, 8481.42276, 10295.348873, 10747.375964, 12023.819373, 9257.263138, 9872.956088, 8838.624722, 9985.949665, 9842.416491, 8227.782136, 12772.15574, 7037.584312, 9906.743471, 8421.408087, 7092.552025, 11206.061683, 7978.206235, 11793.212235, 7319.147599, 7329.73737, 10106.062749, 12371.653766, 9073.853801, 11092.951384, 9580.809008, 10865.369261, 8926.201158, 11146.901005, 10848.913392, 8667.022944, 10513.652134, 8745.057899, 12944.741373, 9574.161074, 11940.521945, 9033.625889, 12338.160411, 14933.37738, 13782.751527, 22713.819971, 18012.846533, 12459.106366, 19520.441161, 12800.674576, 13481.769913, 10213.399503, 13526.48684, 12390.076276, 11067.580526, 9832.88178, 7725.916147, 11786.19731, 5421.733909, 12235.922352, 10928.188656, 10360.87907, 10528.1431, 9412.224138, 7416.650771, 8427.782051, 8457.863978, 9470.432432, 8498.080328, 8750.030129)), row.names = c(NA, -260L), class = "data.frame"), num.trees = 50L, mtry = 1, importance = "impurity", num.threads = NULL, nodesize = NULL, maxnodes = NULL)
#>
#> Type: Regression
#> Number of trees: 50
#> Sample size: 260
#> Number of independent variables: 3
#> Mtry: 1
#> Target node size: 5
#> Variable importance mode: impurity
#> Splitrule: variance
#> OOB prediction error (MSE): 2930892
#> R squared (OOB): 0.6580596
#> Foreig01 PrSect01 UnemrT01
#> 434738934 1128837729 462292278
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -10493.66 -1065.63 -20.93 -78.52 945.37 9620.75
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -1988.8976 -124.8554 -14.0760 0.7845 74.1419 1845.8284
#> Min Max Mean StD
#> Foreig01 3385555 111681234 18043412 14053397
#> PrSect01 3921895 110420861 24276159 15491039
#> UnemrT01 2561179 114267967 21480793 20998864
#>
#> Number of Observations: 260
#> Number of Independent Variables: 3
#> Kernel: Adaptive
#> Neightbours: 20
#>
#> --------------- Global ML Model Summary ---------------
#>
#> Importance:
#>
#> Mean Square Error (Not OOB): 734571.154
#> R-squared (Not OOB) %: 91.397
#> AIC (Not OOB): 3519.831
#> AICc (Not OOB): 3519.988
#>
#> --------------- Local Model Summary ---------------
#>
#> Residuals OOB:
#>
#> Residuals Predicted (Not OOB):
#>
#> Local Variable Importance:
#>
#> Mean squared error (OOB): 4581010.623
#> R-squared (OOB) %: 46.348
#> AIC (OOB): 3995.732
#> AICc (OOB): 3995.889
#> Mean squared error Predicted (Not OOB): 104651.99
#> R-squared Predicted (Not OOB) %: 98.774
#> AIC Predicted (Not OOB): 3013.183
#> AICc Predicted (Not OOB): 3013.34
#>
#> Calculation time (in seconds): 2.9917
scores_dt <- bench_results$score(mlr3::msr("regr.rmse"))
rm(bench_results)Results Visualization
We visualize the Root Mean Squared Error (RMSE) to compare the performance of our learners. A lower RMSE indicates a better fit to the spatial data.
results_dt <- as.data.table(scores_dt)
results_dt[, algorithm := gsub("regr.", "", learner_id, fixed = TRUE)]
results_dt[, dataset := task_id]
results_dt[, rmse := regr.rmse]
algo_order <- results_dt[, .(m = mean(rmse)), by = algorithm][order(-m), algorithm]
results_dt[, algorithm := factor(algorithm, levels = algo_order)]
results_dt[, dataset := factor(dataset, levels = c("Income", "California_Housing"))]
ggplot(results_dt, aes(x = rmse, y = algorithm)) +
geom_point(
shape = 21,
size = 2,
fill = "white",
color = "black",
stroke = 1
) +
labs(
x = "RMSE",
y = "Algorithm"
)
ggplot(results_dt, aes(x = rmse, y = algorithm)) +
geom_point(
shape = 21,
size = 2,
fill = "white",
color = "black",
stroke = 1
) +
facet_grid(dataset ~ .) +
labs(
x = "RMSE",
y = "Algorithm"
)