The exercise involving data in this and subsequent sections were designed to be solved using Excel. The following estimated regression equation is based on 10 observations was presented. ŷ = 29.1270 + 0.5906x1 + 0.4980x Here SST = 6,942.625, SSR = 6,737.375, Sh = 0.0894, and sy = 0.0519. a. Compute MSR and MSE (to 3 decimals). MSR MSE h Compute the F tost statistic (to 2 decimals) Use Etable

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Chapter1: Starting With Matlab
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The following educational exercise involves data that were designed to be solved using Excel. The estimated regression equation presented is based on 10 observations:

\( \hat{y} = 29.1270 + 0.5906x_1 + 0.4980x_2 \).

Given:
- \( SST = 6,942.625 \)
- \( SSR = 6,737.375 \)
- \( s_{b_1} = 0.0894 \)
- \( s_{b_2} = 0.0519 \)

### Tasks:

**a. Compute MSR and MSE (to 3 decimals).**

- **MSR:** [Blank]
- **MSE:** [Blank]

**b. Compute the F test statistic (to 2 decimals). Use F table.**

- **F test statistic:** [Blank]

What is the p-value?
- Options: "less than .01" (selected).

At \( \alpha = .05 \), what is your conclusion?
- **Conclusion:** The overall model is significant (selected).

**c. Compute the t test statistic for the significance of \( \beta_1 \) (to 2 decimals). Use t table.**

- **t test statistic for \( \beta_1 \):** [Blank]

The p-value is:

- Options: "less than .01" (selected).

At \( \alpha = .05 \), what is your conclusion?
- **Conclusion:** There is a significant relationship between \( y \) and \( x_1 \) (selected).

**d. Compute the t test statistic for the significance of \( \beta_2 \) (to 2 decimals).**

- **t test statistic for \( \beta_2 \):** [Blank]
Transcribed Image Text:The following educational exercise involves data that were designed to be solved using Excel. The estimated regression equation presented is based on 10 observations: \( \hat{y} = 29.1270 + 0.5906x_1 + 0.4980x_2 \). Given: - \( SST = 6,942.625 \) - \( SSR = 6,737.375 \) - \( s_{b_1} = 0.0894 \) - \( s_{b_2} = 0.0519 \) ### Tasks: **a. Compute MSR and MSE (to 3 decimals).** - **MSR:** [Blank] - **MSE:** [Blank] **b. Compute the F test statistic (to 2 decimals). Use F table.** - **F test statistic:** [Blank] What is the p-value? - Options: "less than .01" (selected). At \( \alpha = .05 \), what is your conclusion? - **Conclusion:** The overall model is significant (selected). **c. Compute the t test statistic for the significance of \( \beta_1 \) (to 2 decimals). Use t table.** - **t test statistic for \( \beta_1 \):** [Blank] The p-value is: - Options: "less than .01" (selected). At \( \alpha = .05 \), what is your conclusion? - **Conclusion:** There is a significant relationship between \( y \) and \( x_1 \) (selected). **d. Compute the t test statistic for the significance of \( \beta_2 \) (to 2 decimals).** - **t test statistic for \( \beta_2 \):** [Blank]
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