Regression A Coach Wants To See The Relationship Between The Statistics Of Practice Games And Official Games Of A Local 1 (59.22 KiB) Viewed 95 times
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 10 players was used and the resulting (partial) Excel output shown below. Assume both x and y form normal distributions. Regression Multiple R R Square Adjusted R Square Standard Error Observations Intercept Midterm OA. 0.732 OB. 40.505 Statistics O C. 4.377 OD. 0.174 0.70524 0.668395 8.703633 10 (a) The slope of the regression line is Coefficients Standard Error 40.5045 8.506861 4.794266 0.001366 0.731947 0.173538 4.377473 0.002365 (b) The correlation coefficient is OA. None of the other answers OB. -0.8398 OC. 0.705 OD. 0.8398 t Stat P-value Lower Upper 95% 95% 21.1673 60.40101 0.362046 1.169078 C
A hypothesis test is done to determine whether the correlation coefficient is significantly different from zero. (c) The alternate hypothesis is OA. H₁: B 0 OB. H₁ p = 0 Ο C. Η : μ = 0 O D. H₁ :p # 0 (d) The test statistic is O A. 0.362 OB. 4.794 OC. None of the other answers D. 40.78 (e) The degrees of freedom are: O A. 7 B. OC. 9 OD. 8
(f) At the 5% significance level it can be concluded that there is evidence to suggest the correlation coefficient is OA. not zero OB. negative OC. positive O D. zero
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