library(wooldridge)
library(printr)
data(hprice1)
head(force(hprice1),n=5)
price assess bdrms lotsize sqrft colonial lprice lassess llotsize lsqrft
300 349.1 4 6126 2438 1 5.703783 5.855359 8.720297 7.798934
370 351.5 3 9903 2076 1 5.913503 5.862210 9.200593 7.638198
191 217.7 3 5200 1374 0 5.252274 5.383118 8.556414 7.225481
195 231.8 3 4600 1448 1 5.273000 5.445875 8.433811 7.277938
373 319.1 4 6095 2514 1 5.921578 5.765504 8.715224 7.829630

Estimando el modelo

modelo_precio<-lm(formula = price~lotsize+sqrft+bdrms,data = hprice1)
library(stargazer)
stargazer(modelo_precio,title="Modelo Precio",type = "html", digits=4)
Modelo Precio
Dependent variable:
price
lotsize 0.0021***
(0.0006)
sqrft 0.1228***
(0.0132)
bdrms 13.8525
(9.0101)
Constant -21.7703
(29.4750)
Observations 88
R2 0.6724
Adjusted R2 0.6607
Residual Std. Error 59.8335 (df = 84)
F Statistic 57.4602*** (df = 3; 84)
Note: p<0.1; p<0.05; p<0.01

Prueba de White

library(lmtest)
Wtest<-bptest(modelo_precio,~I(lotsize^2)+I(sqrft^2)+I(bdrms^2)+lotsize*sqrft+lotsize*bdrms+sqrft*bdrms,data = hprice1)
print(Wtest)
## 
##  studentized Breusch-Pagan test
## 
## data:  modelo_precio
## BP = 33.732, df = 9, p-value = 0.00009953
gl=3*2+choose(3,2)
VC<-qchisq(p = 0.95,df = gl)

library(fastGraph)
shadeDist(Wtest$statistic,ddist = 'dchisq',col=c('black','skyblue'),parm1 =VC,lower.tail = FALSE)

Como \(LM_{W}>VC\) se rechaza la hipotesis nula y se dice que existe evidencia de heterocedasticidad en el modelo