AE Open spreadsheet a. 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 (to 1 decimal). Win% = bo + b₁ Yds/Att bo = b₁ = b. Develop the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt (to 1 decimal). Win% bo + b₁. Int/Att bo = b₁ = 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 and the number of interceptions thrown per attempt (to 1 decimal). Win% bo + b₁ Yds/Att + b₂ - Int/Att bo = b₁ = b₂ = d. The average number of passing yards per attempt for the Kansas City Chiefs was 6.2 and the number of interceptions thrown per attempt was 0.036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs. (Note: For this season the Kansas City Chiefs' record was 7 wins and 9 losses.) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs (to whole number). Predicted percentage Actual percentage ©
AE Open spreadsheet a. 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 (to 1 decimal). Win% = bo + b₁ Yds/Att bo = b₁ = b. Develop the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt (to 1 decimal). Win% bo + b₁. Int/Att bo = b₁ = 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 and the number of interceptions thrown per attempt (to 1 decimal). Win% bo + b₁ Yds/Att + b₂ - Int/Att bo = b₁ = b₂ = d. The average number of passing yards per attempt for the Kansas City Chiefs was 6.2 and the number of interceptions thrown per attempt was 0.036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs. (Note: For this season the Kansas City Chiefs' record was 7 wins and 9 losses.) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs (to whole number). Predicted percentage Actual percentage ©
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
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 data in the Excel Online file below show the conference (Conf), average number of passing yards per attempt (Yds/Att), the number of interceptions thrown per attempt (Int/Att), and the percentage of games won (Win%) for a random sample of 16 NFL teams for a season. Construct a spreadsheet to answer the following questions.
Data:
Team | Conf | Yds/Att | Int/Att | Win% |
Arizona Cardinals | NFC | 6.6 | 0.042 | 49.7 |
Atlanta Falcons | NFC | 6.9 | 0.022 | 62.4 |
Carolina Panthers | NFC | 7.5 | 0.032 | 37.2 |
Cincinnati Bengals | AFC | 6.0 | 0.025 | 56.1 |
Detroit Lions | NFC | 7.0 | 0.024 | 62.6 |
Green Bay Packers | NFC | 8.9 | 0.014 | 93.6 |
Houstan Texans | AFC | 7.3 | 0.018 | 62.5 |
Indianapolis Colts | AFC | 5.7 | 0.027 | 12.4 |
Jacksonville Jaguars | AFC | 4.4 | 0.033 | 31.0 |
Minnesota Vikings | NFC | 5.9 | 0.032 | 18.8 |
New England Patriots | AFC | 8.3 | 0.021 | 81.4 |
New Orleans Saints | NFC | 8.1 | 0.021 | 81.3 |
Oakland Raiders | AFC | 7.4 | 0.044 | 49.9 |
San Francisco 49ers | NFC | 6.6 | 0.011 | 81.3 |
Tennessee Titans | AFC | 6.8 | 0.025 | 56.2 |
Washington Redskins | NFC | 6.4 | 0.040 | 31.0 |
![### Regression Analysis of Football Game Outcomes
On this page, learners will explore how to develop regression equations to predict the percentage of games won based on specific team performance metrics.
#### Part A: Predicting Games Won Based on Passing Yards per Attempt
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 (to 1 decimal).
\[ \text{Win%} = b_0 + b_1 \cdot \text{Yds/Att} \]
Where:
- \( b_0 \) =
- \( b_1 \) =
#### Part B: Predicting Games Won Based on Interceptions per Attempt
Develop the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt (to 1 decimal).
\[ \text{Win%} = b_0 + b_1 \cdot \text{Int/Att} \]
Where:
- \( b_0 \) =
- \( b_1 \) =
#### Part C: Predicting Games Won Based on Multiple Variables
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 and the number of interceptions thrown per attempt (to 1 decimal).
\[ \text{Win%} = b_0 + b_1 \cdot \text{Yds/Att} + b_2 \cdot \text{Int/Att} \]
Where:
- \( b_0 \) =
- \( b_1 \) =
- \( b_2 \) =
#### Part D: Practical Application to the Kansas City Chiefs
The average number of passing yards per attempt for the Kansas City Chiefs was 6.2 and the number of interceptions thrown per attempt was 0.036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs.
*(Note: For this season the Kansas City Chiefs' record was 7 wins and 9 losses.)* Compare your prediction to the actual percentage of games won by the Kansas City Chiefs (to the nearest whole number).
- Predicted percentage:
- Actual percentage:
##### Explanation of Diagram/Graph:
In this section, no graphs or diagrams are provided. The theoretical development and subsequent application focus solely on the creation and use of regression](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc3ad949-79b2-4a66-83f9-922936cf2321%2F16c8ea41-acf3-4d71-9566-90862be49120%2F9k5u5am_processed.png&w=3840&q=75)
Transcribed Image Text:### Regression Analysis of Football Game Outcomes
On this page, learners will explore how to develop regression equations to predict the percentage of games won based on specific team performance metrics.
#### Part A: Predicting Games Won Based on Passing Yards per Attempt
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 (to 1 decimal).
\[ \text{Win%} = b_0 + b_1 \cdot \text{Yds/Att} \]
Where:
- \( b_0 \) =
- \( b_1 \) =
#### Part B: Predicting Games Won Based on Interceptions per Attempt
Develop the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt (to 1 decimal).
\[ \text{Win%} = b_0 + b_1 \cdot \text{Int/Att} \]
Where:
- \( b_0 \) =
- \( b_1 \) =
#### Part C: Predicting Games Won Based on Multiple Variables
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 and the number of interceptions thrown per attempt (to 1 decimal).
\[ \text{Win%} = b_0 + b_1 \cdot \text{Yds/Att} + b_2 \cdot \text{Int/Att} \]
Where:
- \( b_0 \) =
- \( b_1 \) =
- \( b_2 \) =
#### Part D: Practical Application to the Kansas City Chiefs
The average number of passing yards per attempt for the Kansas City Chiefs was 6.2 and the number of interceptions thrown per attempt was 0.036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs.
*(Note: For this season the Kansas City Chiefs' record was 7 wins and 9 losses.)* Compare your prediction to the actual percentage of games won by the Kansas City Chiefs (to the nearest whole number).
- Predicted percentage:
- Actual percentage:
##### Explanation of Diagram/Graph:
In this section, no graphs or diagrams are provided. The theoretical development and subsequent application focus solely on the creation and use of regression
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Step 1: Write the given information.
VIEWStep 2: Develop the regression equation to predict the win percentage using yards per attempt.
VIEWStep 3: Develop the regression equation to predict the win percentage using interception per attempt.
VIEWStep 4: Develop the regression equation to predict the win percentage using both variables.
VIEWStep 5: Predict the win percentage using given data points and compare with actual percentage.
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