Question 1 (20%)
Instructions: In this section, obtain the following R output:
Call: lm(formula = lwage ~ educ + meduc + feduc)
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 5.92864 0.09462 62.66 <2e-16 ***
educ 0.04701 0.01280 3.67 0.00025 ***
meduc 0.00647 0.00636 1.02 0.30895
feduc 0.00884 0.00569 1.55 0.12053
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 4 on 718 degrees of freedom
Multiple R-squared: 0.109, Adjusted R-squared: 0.106
F-statistic: 36.7 on 3 and 718 DF, p-value: <2e-16
Analysis of Variance Table
Response: lwage
Df Sum Sq Mean Sq F value Pr(>F)
educ 1 12.4 12.39 79.10 <2e-16 ***
meduc 1 1.6 1.58 10.06 0.0016 **
feduc 1 0.4 0.38 2.42 0.1205
Residuals 718 112.5 0.16
a) Calculate the missing values -1 to -7-
b) Derive a 90% confidence interval for the coefficient on meduc