Running /Library/Frameworks/R.framework/Resources/bin/R CMD SHLIB foo.c
using C compiler: ‘Apple clang version 14.0.3 (clang-1403.0.22.14.1)’
using SDK: ‘MacOSX13.3.sdk’
clang -arch arm64 -I"/Library/Frameworks/R.framework/Resources/include" -DNDEBUG -I"/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/Rcpp/include/" -I"/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/RcppEigen/include/" -I"/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/RcppEigen/include/unsupported" -I"/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/BH/include" -I"/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/StanHeaders/include/src/" -I"/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/StanHeaders/include/" -I"/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/RcppParallel/include/" -I"/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/rstan/include" -DEIGEN_NO_DEBUG -DBOOST_DISABLE_ASSERTS -DBOOST_PENDING_INTEGER_LOG2_HPP -DSTAN_THREADS -DUSE_STANC3 -DSTRICT_R_HEADERS -DBOOST_PHOENIX_NO_VARIADIC_EXPRESSION -D_HAS_AUTO_PTR_ETC=0 -include '/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/StanHeaders/include/stan/math/prim/fun/Eigen.hpp' -D_REENTRANT -DRCPP_PARALLEL_USE_TBB=1 -I/opt/R/arm64/include -fPIC -falign-functions=64 -Wall -g -O2 -c foo.c -o foo.o
In file included from <built-in>:1:
In file included from /Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/StanHeaders/include/stan/math/prim/fun/Eigen.hpp:22:
In file included from /Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/RcppEigen/include/Eigen/Dense:1:
In file included from /Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/RcppEigen/include/Eigen/Core:19:
/Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library/RcppEigen/include/Eigen/src/Core/util/Macros.h:679:10: fatal error: 'cmath' file not found
#include <cmath>
^~~~~~~
1 error generated.
make: *** [foo.o] Error 1Bayesian Regression Model
The mathematical formula for our Bayesian model is:
[ _i = _0 + _1 _i + _2 _i + _i ]
Where:
- (_i) is the income level of individual (i),
- (_i) and (_i) are the predictor variables for race and sex,
- (_0) is the intercept,
- (_1) and (_2) are the coefficients associated with race and sex, respectively,
- (_i) represents the error term.
Model Fitting in R
| Parameter | Estimate | Est..Error | X95..CI.Lower | X95..CI.Upper | |
|---|---|---|---|---|---|
| Intercept | Intercept | 0.00 | 0.02 | -0.05 | 0.05 |
| raceAsianMPacMIslander | raceAsianMPacMIslander | 0.14 | 0.03 | 0.09 | 0.19 |
| raceBlack | raceBlack | 0.03 | 0.02 | -0.02 | 0.08 |
| raceOther | raceOther | -0.02 | 0.04 | -0.09 | 0.05 |
| raceWhite | raceWhite | 0.13 | 0.02 | 0.08 | 0.18 |
| sexMale | sexMale | 0.19 | 0.00 | 0.18 | 0.20 |
Rows: 32,561
Columns: 15
$ age <int> 90, 82, 66, 54, 41, 34, 38, 74, 68, 41, 45, 38, 52, 32,…
$ workclass <chr> "?", "Private", "?", "Private", "Private", "Private", "…
$ fnlwgt <int> 77053, 132870, 186061, 140359, 264663, 216864, 150601, …
$ education <chr> "HS-grad", "HS-grad", "Some-college", "7th-8th", "Some-…
$ education.num <int> 9, 9, 10, 4, 10, 9, 6, 16, 9, 10, 16, 15, 13, 14, 16, 1…
$ marital.status <chr> "Widowed", "Widowed", "Widowed", "Divorced", "Separated…
$ occupation <chr> "?", "Exec-managerial", "?", "Machine-op-inspct", "Prof…
$ relationship <chr> "Not-in-family", "Not-in-family", "Unmarried", "Unmarri…
$ race <chr> "White", "White", "Black", "White", "White", "White", "…
$ sex <chr> "Female", "Female", "Female", "Female", "Female", "Fema…
$ capital.gain <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ capital.loss <int> 4356, 4356, 4356, 3900, 3900, 3770, 3770, 3683, 3683, 3…
$ hours.per.week <int> 40, 18, 40, 40, 40, 45, 40, 20, 40, 60, 35, 45, 20, 55,…
$ native.country <chr> "United-States", "United-States", "United-States", "Uni…
$ income <chr> "<=50K", "<=50K", "<=50K", "<=50K", "<=50K", "<=50K", "…