Use the p-value criterion to find the best model for predicting the number of points scored per game by football teams using the accompanying National Football League Data. Does the model make logical sense? Click the icon to view the National Football League Data. Determine the best multiple regression model. Let X, represent Rushing Yards, let X, represent Passing Yards, let Xg represent Penalties, let X4 represent Interceptions, and let Xg represent Fumbles. Enter the terms of the equation so that the Xy-values are in ascending numeral order by base. Select the correct ch below and fill in the answer boxes within your choice. (Type an integer or decimal rounded to three decimal places as needed.) O A, Points/Game =+Ox+OX OB, Points/Game = Ox OC Points/Game = Ox OX+Ox Ox OX OD, Points/Game = Ox+ DE Points/Game =+ x+(Dx

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**Title: Applying the P-Value Criterion to Multiple Regression Models in NFL Data**

**Introduction:**

Understanding how to use statistical models to predict outcomes in sports can reveal insights and help make data-driven decisions. This educational segment focuses on using the p-value criterion to select the optimal model for predicting football teams' points per game, specifically with NFL data.

**Instructions:**

- **Step 1:** Access the "National Football League Data" by clicking the provided link. This dataset will contain the necessary variables related to football performance metrics.
  
- **Step 2:** Determine the best multiple regression model using the variables provided in the dataset.

**Variables Explained:**

- \( X_1 \): Rushing Yards
- \( X_2 \): Passing Yards
- \( X_3 \): Penalties
- \( X_4 \): Interceptions
- \( X_5 \): Fumbles

**Objective:**

Your task is to enter the terms of the regression equation in a logical sequence so that the \( X \)-values are arranged in ascending order based on their numerical indices. Use the provided options (A to E) to make your choice.

**Response Options:**

- **A.** \[ \text{Points/Game} = \square + \square \times X_1 + \square \times X_2 + \square \times X_3 + \square \times X_4 + \square \times X_5 \]
- **B.** \[ \text{Points/Game} = \square + \square \times X_1 + \square \times X_3 + \square \times X_2 + \square \times X_5 + \square \times X_4 \]
- **C.** \[ \text{Points/Game} = \square + \square \times X_1 + \square \times X_5 + \square \times X_4 + \square \times X_2 + \square \times X_3 \]
- **D.** \[ \text{Points/Game} = \square + \square \times X_1 + \square \times X_3 + \square \times X_4 + \square \times X_5 + \square \times X_2 \]
- **E.** \[ \text{Points/Game} = \square + \square \times X_1
Transcribed Image Text:**Title: Applying the P-Value Criterion to Multiple Regression Models in NFL Data** **Introduction:** Understanding how to use statistical models to predict outcomes in sports can reveal insights and help make data-driven decisions. This educational segment focuses on using the p-value criterion to select the optimal model for predicting football teams' points per game, specifically with NFL data. **Instructions:** - **Step 1:** Access the "National Football League Data" by clicking the provided link. This dataset will contain the necessary variables related to football performance metrics. - **Step 2:** Determine the best multiple regression model using the variables provided in the dataset. **Variables Explained:** - \( X_1 \): Rushing Yards - \( X_2 \): Passing Yards - \( X_3 \): Penalties - \( X_4 \): Interceptions - \( X_5 \): Fumbles **Objective:** Your task is to enter the terms of the regression equation in a logical sequence so that the \( X \)-values are arranged in ascending order based on their numerical indices. Use the provided options (A to E) to make your choice. **Response Options:** - **A.** \[ \text{Points/Game} = \square + \square \times X_1 + \square \times X_2 + \square \times X_3 + \square \times X_4 + \square \times X_5 \] - **B.** \[ \text{Points/Game} = \square + \square \times X_1 + \square \times X_3 + \square \times X_2 + \square \times X_5 + \square \times X_4 \] - **C.** \[ \text{Points/Game} = \square + \square \times X_1 + \square \times X_5 + \square \times X_4 + \square \times X_2 + \square \times X_3 \] - **D.** \[ \text{Points/Game} = \square + \square \times X_1 + \square \times X_3 + \square \times X_4 + \square \times X_5 + \square \times X_2 \] - **E.** \[ \text{Points/Game} = \square + \square \times X_1
### Football Statistics Data

This table presents a comprehensive dataset of football team statistics. The table includes various performance metrics per game, represented in rows and columns. Each row corresponds to a different team, while columns categorize specific statistical measures.

- **var1 (Points/Game):** Average points scored per game by the team.
- **var2 (Rushing Yards/Game):** Average rushing yards gained per game.
- **var3 (Passing Yards/Game):** Average passing yards gained per game.
- **var4 (Penalties):** Total number of penalties incurred.
- **var5 (Interceptions):** Total number of interceptions made.
- **var6 (Fumbles):** Total number of fumbles.

#### Example Data Points:
1. **Team 1:** 
   - Points/Game: 25.2
   - Rushing Yards/Game: 90.1
   - Passing Yards/Game: 259.2
   - Penalties: 140
   - Interceptions: 18
   - Fumbles: 4

2. **Team 14:** 
   - Points/Game: 23.7
   - Rushing Yards/Game: 99.8
   - Passing Yards/Game: 235.7
   - Penalties: 85
   - Interceptions: 11
   - Fumbles: 7

3. **Team 20:** 
   - Points/Game: 36.8
   - Rushing Yards/Game: 115.4
   - Passing Yards/Game: 297.1
   - Penalties: 81
   - Interceptions: 9
   - Fumbles: 9

### Analysis & Insights:
- The data provides insights into team performance and areas for improvement.
- Teams with higher penalties may need to focus on discipline during gameplay.
- The balance between rushing and passing yards can indicate a team's strategic focus.

This dataset is valuable for analyzing team performance patterns and making data-driven decisions in sports management and coaching.
Transcribed Image Text:### Football Statistics Data This table presents a comprehensive dataset of football team statistics. The table includes various performance metrics per game, represented in rows and columns. Each row corresponds to a different team, while columns categorize specific statistical measures. - **var1 (Points/Game):** Average points scored per game by the team. - **var2 (Rushing Yards/Game):** Average rushing yards gained per game. - **var3 (Passing Yards/Game):** Average passing yards gained per game. - **var4 (Penalties):** Total number of penalties incurred. - **var5 (Interceptions):** Total number of interceptions made. - **var6 (Fumbles):** Total number of fumbles. #### Example Data Points: 1. **Team 1:** - Points/Game: 25.2 - Rushing Yards/Game: 90.1 - Passing Yards/Game: 259.2 - Penalties: 140 - Interceptions: 18 - Fumbles: 4 2. **Team 14:** - Points/Game: 23.7 - Rushing Yards/Game: 99.8 - Passing Yards/Game: 235.7 - Penalties: 85 - Interceptions: 11 - Fumbles: 7 3. **Team 20:** - Points/Game: 36.8 - Rushing Yards/Game: 115.4 - Passing Yards/Game: 297.1 - Penalties: 81 - Interceptions: 9 - Fumbles: 9 ### Analysis & Insights: - The data provides insights into team performance and areas for improvement. - Teams with higher penalties may need to focus on discipline during gameplay. - The balance between rushing and passing yards can indicate a team's strategic focus. This dataset is valuable for analyzing team performance patterns and making data-driven decisions in sports management and coaching.
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