questions 7, 8, 9, 10, 11, and 12
The following (partial) ANOVA table was obtained from statistical software: Source DF Sum of Squares Model I 32,809 212 Error 16.734.234 7. What are the degrees of freedom for SSE. the error sum of squares? A)2 78 B) 77 D) 79 8. What is the value of SST. the total sum of squares? A) 16,074.978 32.809.212 B) 16,734.234 D) 49.543,448 9. What is the value of the F-statistic for testing the hypotheses H, 7, =0 versus H,: 10 0? A) 1.96 150.97 B) 77 Di 217,328 Use the following to answer questions 10-11: As in most professional sports, statistics are collected in the National Hockey League. In the 2006-2007 season teams played 82 games. A team was awarded 2 points for a win and 1 point if the game was tied at the end of regulation time but was then lost in overtime. For each of the 30 teams, data on the number of goals scored per game (Goals () and the percentage of the 164 possible points they won (FRin26) during the season were collected. The following graph shows the plotted points for the variables Work and Goals/G and the simple linear regression line fitted using least squares: 0.7 0.65- 0.6- 0.55- 5 0.5- 0.45 0.4- 0.35- 0.3+ 2.25 2.5 2.75 3 3.25 3.5 3.75 Goals/G From the computer output for the least squares fit, the estimated equation was found to be Wiry - 0.932 + 19.022Goals /G, " - 0.398, and 5" - 60.29. Also, it was determined from the output that 2 - 12.800 and Ex - 4.418. 10. Using the above information. determine whether each of the following statements is true or false A) 39.8% of the variation in the winning percentage variable is explained by the least squares regression on the number of goals scored per game. B) An increase of 1 goal per game results in an increase of about 19% in winning percentage. 11. A plot of the residuals from the least squares fit against the Goals'( variable is shown below: 0.20 0.10- Residual 0.00- -0.10 -0.207 2.25 2.5 2.75 3 3.25 3.5 3.75 Goals /G Determine whether each of the following statements about the residual is true or false. A) There does not appear to be any particular pattern to the residuals on the plot. B) The residual plot shows that the residuals do approximately follow a Normal distribution, as the statistical model requires. 12. A college newspaper interviews a psychologist about a proposed system for rating the teaching ability of faculty members. The psychologist says, "The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero." What would be a correct interpretation of this statement? A) Good researchers tend to be poor teachers and vice versa. B) Good teachers tend to be poor researchers and vice versa. C) Good researchers are just as likely to be good teachers as they are bad teachers. Likewise, for poor researchers. D) Good research and good teaching go together
