You are interested in the effect of number of homeruns (HomeRun) on the number of wins (Wins) in 2005 Major League Baseball (MLB) season. Using 2005 MLB data (aggregated at the team level), you run a simple linear regression and get the following results from Stata. MLB2005 ShortAnswerQuestion(1).png Using the Stata output above and α =0.05, answer the following questions.  (a) Develop the null and the alternative hypothesis of the slope coefficient significance test.  (b) Compute the test statistic.  (c) Findf the critical value. (d) Based on your answers above, conclude whether you reject or do not reject the null hypothesis.  (e) Compute the R2.  (f) Construct 95% confidence interval for the slopep coefficient. 

https://courses.rsu.edu/bbcswebdav/pid-72660852-dt-asiobject-rid-48811505_1/xid-48811505_1?Kq3cZcYS15=292a4c725b7b48b0b5641545d1caa3e8&VxJw3wfC56=1761061862&3cCnGYSz89=kruJ7aUdQ133YXhuxTIwqQhPOzk8NSnW0C1bTbLw3EQ%3D

Wage Reg(1).png  The wage of female workers, on average, is $20.91.

The OLS residuals:

Wage Reg.png  The wage of male workers, on average, is $18.3.

Using a regression of test scores of 420 California school districts on the student-teacher ratio, you find that the standard error on the slope coefficient is 0.51 when using the heteroskedasticity robust formula, while it is 0.48 when employing the homoskedasticity only formula. When calculating the t-statistic, the recommended procedure is to:

Wage Reg(1).png  The wage of female workers, on average, is $20.91.

Wage Reg(3).png  We do not reject the null hypothesis that there is no gender wage gap at the 1% level.

Which of the following statements is true about the variance of OLS estimates?

Wage Reg(3).png  We do not reject the null hypothesis that there is no gender wage gap at the 1% level.