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
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ISBN:9781119256830
Author:Amos Gilat
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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
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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