Instruction: Answer all question. Please be specic and short in your answers. For numerical answers, round your answers to 2-digits after the decimal point. How far people live from colleges, might affect their decision to attend college. To test this, I've run an OLS regression of years of completed education (ed) with 1 regressor distance to college (dist). Ed is measure of the education completed in number of years, and dist is how far (in 10's of miles) the individual lives from a 4-year college. The sample size for this regression is 3,796. Using Output 1 (on the back), which summarizes the above regression using r, answer the following questions: 1. Complete the equation for the estimated regression line: 2. What does the estimated slope tell you about the relationship between ed and dist? Does it seem plausible? 3. The estimated slopes in the top and bottom panels are equal, but the standard errors aren't equal. Explain why they aren't equal? Output 1 > colldist_regression = Im( ed ~ 'dist, data=CollegeDistance) > coeftest(colldist_regression) t test of coefficients: Estimate Std. Error t value Pr(>Itl) (Intercept) 13.955856 0. 037724 369.9451 coeftest(colldist_regression, vcov = sandwich) t test of coefficients: Estimate Std. Error t value Pr(>Itl) (Intercept) 13.955856 0. 037801 369. 1906