In: Statistics and Probability
This regression is on 1744 individuals and the relationship between their weekly earnings (in dollars) and age (in years) during 2019. The regression yielded the following result: = 239.16 + 5.20 × Age , R2 = 0.05, SER = 287.21 (20.24) (0.57) ( Values in parentheses are heteroskedasticity robust standard errors, respectively)
(a) Is the relationship between Age and Earn statistically significant?
(b) The variance of the error term and the variance of the dependent variable are related. Given the distribution of earnings, do you think it is plausible that the distribution of errors is normal?
(c) Construct a 95% confidence interval for the slope coefficient, and use it to test for the statistical significance of the slope coefficient.
(d) Construct a 95% confidence interval for the intercept coefficient, and use it to test for the statistical significance of the intercept coefficient.