Regression. A coach wants to see the relationship between the statistics of practice games and official games of a local soccer team. A sample of 21 players was used and the resulting (partial) Excel output is shown below. Assume both x and y form normal distributions. Regression Statistics Multiple R ** * R Square 0.70524 Adjusted R Square 0.668395 Standard Error 8.703633 Observations 21 Coefficients Standard t Stat P-value Lower Upper Error 95% 95% Intercept 40.71563 8.506861 4.794266 0.001366 21.1673 60.40101 Midterm 0.791809 0. 171261 4.378847 0.002365 0.362046 1.169078 (a) The slope of the regression line is O A. 40.716 O B. 4.379 O C. 0.792 O D. 0.171(b) The correlation coefficient is O A. 0.8398 O B. -0.8398 O C. 0.705 O D. None of the other answers A hypothesis test is done to determine whether the correlation coefficient is significantly different from zero. (c) The alternate hypothesis is OA. H, : H = 0 OB. H, : p = 0 OC. H, : p # 0 OD. H, : P # 0 (d) The test statistic is O A. 0.362 O B. 40.78 O C. 4.794 O D. None of the other answers(e) The degrees of freedom are: O A. 18 O B. 20 O C. 21 O D. 19 (f) At the 5% significance level it can be concluded that there is evidence to suggest the correlation coefficient is O A. zero O B. positive O C. not zero O D. negative