In exercise 7 a sales manager collected the following data on y = annual sales and x = years of experience. The estimated regression equation for these data is y = 80 + 4x. Click on the datafile logo to reference the data. DATA file Annual Sales ($1000s) Years of Salesperson Experience 1 3 4 80 97 92 4 6 10 10 11 13 102 103 111 119 123 117 136 8. 9. 10 a. Compute SST, SSR, and SSE. SSE ST SR b. Compute the coefficient of determination r2. % Does this least squares line provide a good fit? Select c. What is the value of the sample correlation coefficient (to 2 decimals)? -2345679

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In exercise 7, a sales manager collected the following data on \( y = \) annual sales and \( x = \) years of experience. The estimated regression equation for these data is \( \hat{y} = 80 + 4x \).

### Data Table

| Salesperson | Years of Experience | Annual Sales ($1000s) |
|-------------|---------------------|-----------------------|
| 1           | 1                   | 80                    |
| 2           | 2                   | 97                    |
| 3           | 3                   | 92                    |
| 4           | 4                   | 102                   |
| 5           | 4                   | 103                   |
| 6           | 6                   | 111                   |
| 7           | 8                   | 119                   |
| 8           | 10                  | 123                   |
| 9           | 11                  | 117                   |
| 10          | 13                  | 136                   |

### Tasks

a. Compute SST, SSR, and SSE.

- **SSE** (Sum of Squares for Error) \[ \_\_\_\_\_\_\_\]
- **SST** (Total Sum of Squares) \[ \_\_\_\_\_\_\_\]
- **SSR** (Sum of Squares for Regression) \[ \_\_\_\_\_\_\_\]

b. Compute the coefficient of determination \( r^2 \).

- \( r^2 \): \[ \_\_\_\_\_\_\_\] %

Does this least squares line provide a good fit?
- Select: [ Yes / No ]

c. What is the value of the sample correlation coefficient (to 2 decimals)?

- Sample correlation coefficient: \[ \_\_\_\_\_\_\_\] 

This information is useful for understanding the relationship between a salesperson's experience and their annual sales, as well as how well the regression model fits the observed data.
Transcribed Image Text:In exercise 7, a sales manager collected the following data on \( y = \) annual sales and \( x = \) years of experience. The estimated regression equation for these data is \( \hat{y} = 80 + 4x \). ### Data Table | Salesperson | Years of Experience | Annual Sales ($1000s) | |-------------|---------------------|-----------------------| | 1 | 1 | 80 | | 2 | 2 | 97 | | 3 | 3 | 92 | | 4 | 4 | 102 | | 5 | 4 | 103 | | 6 | 6 | 111 | | 7 | 8 | 119 | | 8 | 10 | 123 | | 9 | 11 | 117 | | 10 | 13 | 136 | ### Tasks a. Compute SST, SSR, and SSE. - **SSE** (Sum of Squares for Error) \[ \_\_\_\_\_\_\_\] - **SST** (Total Sum of Squares) \[ \_\_\_\_\_\_\_\] - **SSR** (Sum of Squares for Regression) \[ \_\_\_\_\_\_\_\] b. Compute the coefficient of determination \( r^2 \). - \( r^2 \): \[ \_\_\_\_\_\_\_\] % Does this least squares line provide a good fit? - Select: [ Yes / No ] c. What is the value of the sample correlation coefficient (to 2 decimals)? - Sample correlation coefficient: \[ \_\_\_\_\_\_\_\] This information is useful for understanding the relationship between a salesperson's experience and their annual sales, as well as how well the regression model fits the observed data.
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