Complete the equation below for an estimated regression equation developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the average number of home runs per inning pitched (HR/IP) (to 3 decimals). R/IP = SO/IP + HR/IP + a. Use the F test to determine the overall significance of the relationship. Compute F test statistic (to 2 decimals). 11.98 The p-value is (to 3 decimals). What is your conclusion at the .05 level of significance? There a significant overall relationship. b. Use the t test to determine the significance of each independent variable. Compute the t test statistic for the significance of SO/IP (to 2 decimals). The p-value is (to 3 decimals). What is your conclusion at the .05 level of significance? SO/IP ✓significant. Compute the t test statistic for the significance of HR/IP (to 2 decimals). The p-value is (to 3 decimals). What is your conclusion at the .05 level of significance? HR/IP significant.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Complete the equation below for an estimated regression equation developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the average number of home runs per inning pitched (HR/IP) (to 3 decimals).

\[ \text{R/IP} = \underline{\qquad} + \underline{\qquad} \text{ SO/IP} + \underline{\qquad} \text{ HR/IP} \]

a. Use the \( F \) test to determine the overall significance of the relationship.

   Compute \( F \) test statistic (to 2 decimals).

   \[ \boxed{11.98} \]

   The \( p \)-value is \underline{\qquad} (to 3 decimals).

   What is your conclusion at the .05 level of significance?

   There \underline{\qquad} a significant overall relationship.

b. Use the \( t \) test to determine the significance of each independent variable.

   Compute the \( t \) test statistic for the significance of SO/IP (to 2 decimals).

   \underline{\qquad}

   The \( p \)-value is \underline{\qquad} (to 3 decimals).

   What is your conclusion at the .05 level of significance?

   SO/IP \underline{\qquad} significant.

   Compute the \( t \) test statistic for the significance of HR/IP (to 2 decimals).

   \underline{\qquad}

   The \( p \)-value is \underline{\qquad} (to 3 decimals).

   What is your conclusion at the .05 level of significance?

   HR/IP \underline{\qquad} significant.
Transcribed Image Text:Complete the equation below for an estimated regression equation developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the average number of home runs per inning pitched (HR/IP) (to 3 decimals). \[ \text{R/IP} = \underline{\qquad} + \underline{\qquad} \text{ SO/IP} + \underline{\qquad} \text{ HR/IP} \] a. Use the \( F \) test to determine the overall significance of the relationship. Compute \( F \) test statistic (to 2 decimals). \[ \boxed{11.98} \] The \( p \)-value is \underline{\qquad} (to 3 decimals). What is your conclusion at the .05 level of significance? There \underline{\qquad} a significant overall relationship. b. Use the \( t \) test to determine the significance of each independent variable. Compute the \( t \) test statistic for the significance of SO/IP (to 2 decimals). \underline{\qquad} The \( p \)-value is \underline{\qquad} (to 3 decimals). What is your conclusion at the .05 level of significance? SO/IP \underline{\qquad} significant. Compute the \( t \) test statistic for the significance of HR/IP (to 2 decimals). \underline{\qquad} The \( p \)-value is \underline{\qquad} (to 3 decimals). What is your conclusion at the .05 level of significance? HR/IP \underline{\qquad} significant.
### Table Data

**Columns Description:**
- **Team:** Abbreviated names of baseball teams.
- **W:** Number of wins.
- **L:** Number of losses.
- **ERA:** Earned Run Average.
- **SO/IP:** Strikeouts per Innings Pitched.
- **HR/IP:** Home Runs per Innings Pitched.
- **R/IP:** Runs per Innings Pitched.

**Table:**
| Team | W  | L  | ERA  | SO/IP | HR/IP | R/IP |
|------|----|----|------|-------|-------|------|
| DET  | 24 | 5  | 2.39 | 1.00  | 0.09  | 0.28 |
| BOS  | 17 | 8  | 2.88 | 0.99  | 0.26  | 0.33 |
| TEX  | 16 | 7  | 2.94 | 0.92  | 0.06  | 0.39 |
| NYY  | 19 | 8  | 3.01 | 0.91  | 0.07  | 0.36 |
| LAA  | 16 | 7  | 3.24 | 0.90  | 0.07  | 0.38 |
| OAK  | 14 | 10 | 3.32 | 0.89  | 0.07  | 0.40 |
| LAA  | 15 | 9  | 3.37 | 0.90  | 0.11  | 0.41 |
| BOS  | 12 | 12 | 3.41 | 0.91  | 0.10  | 0.41 |
| SEA  | 15 | 9  | 3.46 | 0.95  | 0.08  | 0.40 |
| CWS  | 11 | 13 | 3.73 | 0.81  | 0.10  | 0.43 |
| SEA  | 10 | 11 | 3.79 | 0.83  | 0.15  | 0.45 |
| NYY  | 12 | 10 |
Transcribed Image Text:### Table Data **Columns Description:** - **Team:** Abbreviated names of baseball teams. - **W:** Number of wins. - **L:** Number of losses. - **ERA:** Earned Run Average. - **SO/IP:** Strikeouts per Innings Pitched. - **HR/IP:** Home Runs per Innings Pitched. - **R/IP:** Runs per Innings Pitched. **Table:** | Team | W | L | ERA | SO/IP | HR/IP | R/IP | |------|----|----|------|-------|-------|------| | DET | 24 | 5 | 2.39 | 1.00 | 0.09 | 0.28 | | BOS | 17 | 8 | 2.88 | 0.99 | 0.26 | 0.33 | | TEX | 16 | 7 | 2.94 | 0.92 | 0.06 | 0.39 | | NYY | 19 | 8 | 3.01 | 0.91 | 0.07 | 0.36 | | LAA | 16 | 7 | 3.24 | 0.90 | 0.07 | 0.38 | | OAK | 14 | 10 | 3.32 | 0.89 | 0.07 | 0.40 | | LAA | 15 | 9 | 3.37 | 0.90 | 0.11 | 0.41 | | BOS | 12 | 12 | 3.41 | 0.91 | 0.10 | 0.41 | | SEA | 15 | 9 | 3.46 | 0.95 | 0.08 | 0.40 | | CWS | 11 | 13 | 3.73 | 0.81 | 0.10 | 0.43 | | SEA | 10 | 11 | 3.79 | 0.83 | 0.15 | 0.45 | | NYY | 12 | 10 |
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