The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (Win%) for a random sample of 10 NFL teams.
| Team | YDDS/ATT | Win% |
| Team 1 | 6.3 | 24 |
| Team 2 | 6.6 | 23 |
| Team 3 | 6 | 21 |
| Team 4 | 6.6 | 25 |
| Team 5 | 6.3 | 27 |
| Team 6 | 6.7 | 33 |
| Team 7 | 6.4 | 29 |
| Team 8 | 8.6 | 65 |
| Team 9 | 7.1 | 34 |
| Team 10 | 6.7 | 35 |
a. Choose the correct a scatter diagram for these data:
| A. | B. | ||
| C. | D. |
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
The scatter diagram indicates a
c. Develop the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt. Enter negative value as negative number.
d. Provide an interpretation for the slope of the estimated regression equation (to 1 decimal).
The slope of the estimated regression line is approximately
e. The average number of passing yards per attempt for the other Team was 5.7 Use the estimated regression equation developed in part (c) to predict the percentage of games won by the team
Question 2
A some association On-Line Discount Broker Survey polls members on their experiences with discount brokers. As part of the survey, members were asked to rate the quality of the speed of execution with their broker as well as provide an overall satisfaction rating for electronic trades. Possible responses (scores) were no opinion (0), unsatisfied (l), somewhat satisfied (2), satisfied (3), and very satisfied (4). For each broker summary scores were computed by calculating a weighted average of the scores provided by each respondent. A portion of the survey results follow
| Brokerage | Speed | Satisfaction |
| Scottrade, Inc. | 2.4 | 2.4 |
| Charles Schwab | 3.8 | 3.4 |
| Fidelity Brokerage Services | 2.7 | 2.4 |
| TD Ameritrade | 2.9 | 3.2 |
| E*Trade Financial | 4 | 4 |
| Vanguard Brokerage Services | 2.4 | 2.8 |
| USAA Brokerage Services | 3.4 | 2.9 |
| Thinkorswim | 3 | 2.7 |
| Wells Fargo Investments | 2.4 | 2 |
| Interactive Brokers | 3.4 | 2.9 |
| Zecco.com | 3.3 | 3.6 |
| A. | B. | ||
| C. | D. |
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
The scatter diagram indicates a
c. Develop the least squares estimated regression equation. Enter negative value as negative number.
d. Provide an interpretation for the slope of the estimated regression equation (to 4 decimals).
The slope of the estimated regression line is approximately
e. Suppose Wells Fargo Investments developed new software to increase their speed of execution rating. If the new software is able to increase their speed of execution rating from the current value of 2.4 to the average speed of execution rating for the other brokerage firms that were surveyed, what value would you predict for the overall satisfaction rating?
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