1. Carga de Datos

library(wooldridge)
data(hprice1)
head(force(hprice1),n=5)
##   price assess bdrms lotsize sqrft colonial   lprice  lassess llotsize   lsqrft
## 1   300  349.1     4    6126  2438        1 5.703783 5.855359 8.720297 7.798934
## 2   370  351.5     3    9903  2076        1 5.913503 5.862210 9.200593 7.638198
## 3   191  217.7     3    5200  1374        0 5.252274 5.383118 8.556414 7.225482
## 4   195  231.8     3    4600  1448        1 5.273000 5.445875 8.433811 7.277938
## 5   373  319.1     4    6095  2514        1 5.921578 5.765504 8.715224 7.829630

2. Estimacion del Modelo

modelo_hprice1<-lm(formula = price~ (lotsize) + (sqrft) + (bdrms) , data = hprice1)
library(stargazer)
stargazer(modelo_hprice1, title = "hprice1", type = "text", digits = 8)
## 
## hprice1
## ===============================================
##                         Dependent variable:    
##                     ---------------------------
##                                price           
## -----------------------------------------------
## lotsize                    0.00206771***       
##                            (0.00064213)        
##                                                
## sqrft                      0.12277820***       
##                            (0.01323741)        
##                                                
## bdrms                       13.85252000        
##                            (9.01014500)        
##                                                
## Constant                   -21.77031000        
##                            (29.47504000)       
##                                                
## -----------------------------------------------
## Observations                    88             
## R2                          0.67236220         
## Adjusted R2                 0.66066090         
## Residual Std. Error    59.83348000 (df = 84)   
## F Statistic         57.46023000*** (df = 3; 84)
## ===============================================
## Note:               *p<0.1; **p<0.05; ***p<0.01

a) Use la libreria lmtest para verificar si su varianza residual es homocedástica a través de la prueba de White (incluya los términos cruzados).

Prueba de White

library(lmtest)
## Loading required package: zoo
## Warning: package 'zoo' was built under R version 4.0.5
## 
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric
white_test<-bptest(modelo_hprice1,price~lotsize+sqrft+bdrms,data=hprice1)
print(white_test)
## 
##  studentized Breusch-Pagan test
## 
## data:  modelo_hprice1
## BP = 14.092, df = 3, p-value = 0.002782

Libreria fastGraph

options(scipen = 99999)
#Crear Matriz de Coef. Desv. p_value
Coef_modelo<-summary(modelo_hprice1)$coefficients
t_values<-Coef_modelo[,"t value"]
etiquetas<-names(t_values)
#Gráficas Pruebas t
for(j in 2:3){
 tc<-t_values[j]
 t_VC<-
fastGraph:: shadeDist( c(-tc, tc ), "dt", 13,col=c("black","red"),sub=paste("Parámetro de la Variable:",etiquetas[j]))
 print(confint(modelo_hprice1,parm = j,level = 0.95))}

##               2.5 %      97.5 %
## lotsize 0.000790769 0.003344644

##            2.5 %    97.5 %
## sqrft 0.09645415 0.1491022