is Algo (Multiple coercent of Dete allowing estimated regression equation is based on 30 observations. alues of SST and SSR are 1,804 and 1,758, respectively. mpute Rª (to 3 decimals). ® mpute R (to 3 decimals), *3 mment on the goodness of fit. stimated regression equation provided an excellent fit He Feedback rtially Correct on Kay cizo 15 12 Also (Multiple Coefficient of Determination) ý 18+3.8-2.52 +7.6.us +2.84 Hint(s) Check My Work Hint(s) Check My Work

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**Exercise 15.13 Algo (Multiple Coefficient of Determination)**

**The following estimated regression equation is based on 30 observations.**

\[
\hat{y} = 18 + 3.8x_1 - 2.5x_2 + 7.6x_3 + 2.3x_4
\]

- The values of SST and SSR are 1,804 and 1,758, respectively.

a. Compute \( R^2 \) (to 3 decimals).

[Input box]

b. Compute \( \overline{R}^2 \) (to 3 decimals).

[Input box]

c. Comment on the goodness of fit.

- The estimated regression equation [Select drop-down menu with the option provided an excellent fit].

[Checkbox] 

**Feedback Section**

- Feedback Status: Partially Correct

[Collapsible feedback section open with the text "Partially Correct"]

**Icon Key**

At the bottom of the page, there's a Key that appears as an icon or symbol guide related to the feedback.

**Hints Section**

- Several links stating "Hint(s)" and "Check My Work" are available for further assistance.

---

This transcription provides the context and structure of a regression analysis problem, accessible for learners on an educational platform. It includes the regression equation, instructions for calculation, an area for input, feedback notes, and supplementary resources.
Transcribed Image Text:**Exercise 15.13 Algo (Multiple Coefficient of Determination)** **The following estimated regression equation is based on 30 observations.** \[ \hat{y} = 18 + 3.8x_1 - 2.5x_2 + 7.6x_3 + 2.3x_4 \] - The values of SST and SSR are 1,804 and 1,758, respectively. a. Compute \( R^2 \) (to 3 decimals). [Input box] b. Compute \( \overline{R}^2 \) (to 3 decimals). [Input box] c. Comment on the goodness of fit. - The estimated regression equation [Select drop-down menu with the option provided an excellent fit]. [Checkbox] **Feedback Section** - Feedback Status: Partially Correct [Collapsible feedback section open with the text "Partially Correct"] **Icon Key** At the bottom of the page, there's a Key that appears as an icon or symbol guide related to the feedback. **Hints Section** - Several links stating "Hint(s)" and "Check My Work" are available for further assistance. --- This transcription provides the context and structure of a regression analysis problem, accessible for learners on an educational platform. It includes the regression equation, instructions for calculation, an area for input, feedback notes, and supplementary resources.
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