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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 20 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 20 Coefficients Standard t Stat P-value Lower Upper Error 95% 95% Intercept 40.25816 8.506861 4.794266 0.001366 21.1673 60.40101 Midterm 0.729505 0. 17707 4.371319 0.002365 0.362046 1. 169078(a) The slope of the regression line is O A. 4.371 O B. 40.258 O C. 0.73 O D. 0.177 (b) The correlation coefficient is O A. -0.8398 O B. 0.8398 O C. None of the other answers O D. 0.705 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. H1 : H = 0 OD. H1 : B # 0(d) The test statistic is O A. 4.794 O B. 0.362 O C. None of the other answers O D. 40.78 (e) The degrees of freedom are: O A. 18 O B. 19 O C. 17 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. positive O B. negative O C. not zero O D. zero

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