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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

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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 40.48755 8.506861 4.794266 0.001366 21.1673 60.40101 Midterm 0.751654 0.172917 4.379603 0.002365 0.362046 1.169078 OA. 0.8398 O B. 0.705 O C. None of the other answers O D. -0.8398 A hypothesis test is done to determine whether the correlation coefficient is significantly different from zero. (c) The alternate hypothesis is OA. H1 : P # 0 OB. H1 : P = 0 OC. H, : B # 0 OD. H1 : H = 0 (d) The test statistic is O A. 40.78 O B. 4.794 O C. 0.362 O D. None of the other answers (e) The degrees of freedom are: O A. 19 O B. 18 O C. 21 O D. 20 (f) At the 5% significance level it can be concluded that there is evidence to suggest the correlation coefficient is O A. negative O B. zero O C. not zero O D. positive

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