Answer Happy

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 14 players was used and the resulting (partial) Excel output is shown below. Assume both x and y form normal distributions. Regression Multiple R R Square Adjusted R Square Standard Error Observations Intercept Midterm Statistics *** 0.70524 0.668395 8.703633 14 Coefficients Standard t Stat Error P-value Lower 95% 40.41389 8.506861 4.794266 0.001366 21.1673 0.796267 0.172709 4.378336 0.002365 0.362046 1.169078 60.40101 Upper 95%
(a) The slope of the regression line is OA. 40.414 OB. 0.796 OC. 0.173 O D. 4.378 (b) The correlation coefficient is OA. -0.8398 OB. 0.705 OC. 0.8398 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. H₁ :p #0 OB. H₁ μ = 0 O C. H₁: B # 0 O D. H₁: p = 0
O D. H₁ p = 0 (d) The test statistic is OA. None of the other answers OB. 4.794 OC. 40.78 O D. 0.362 (e) The degrees of freedom are: OA. 11 B. 12 O C. 13 OD. 14 (f) At the 5% significance level it can be concluded that there is evidence to suggest the correlation coefficient is OA. zero OB. not zero OC. negative O D. positive