Graph the least-squares regression line on the scatter diagram. Choose the correct graph below.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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for (f) the line equation is (could not include in screenshot): y=2x+(-4)

How do you compute the sum of the squared residuals for the LINE in F and sum of residuals for the LEAST-SQUARES regression lind in D? Please do on a TI-84 Plus calculator (or just a calculator) instead of by hand. Thanks

The task involves completing parts (a) through (h) for the given data. Below is a transcription of the work process and results:

### Data Table
- **x values:** 2, 3, 4, 6, 7
- **y values:** 0, 2, 6, 8, 10

### Regression Equation
- The least-squares regression line is calculated as:
  \[
  \hat{y} = 1.953x + (-3.395)
  \]
  - **Note:** Values are rounded to three decimal places.

### Graph Selection
- (e) **Graph the least-squares regression line** on a scatter diagram and choose the correct graph from the options. The correct graph is labeled **B** which shows the line matching the dataset trend.

### Graph Description
- Graph B features a straight line that visually fits the scatter plot points with the data posited around the line, demonstrating an upward slope starting slightly below the y-axis.

### Sum of Squared Residuals
- (f) **Sum of squared residuals for line found in part (b)** is calculated as:
  - **Value:** 4.000

- (g) **Sum of squashed residuals for least-squares regression line found in part (d)** is computed as:
  - **Value:** 3.163

All numerical values are rounded to three decimal places as needed for precision and clarity.
Transcribed Image Text:The task involves completing parts (a) through (h) for the given data. Below is a transcription of the work process and results: ### Data Table - **x values:** 2, 3, 4, 6, 7 - **y values:** 0, 2, 6, 8, 10 ### Regression Equation - The least-squares regression line is calculated as: \[ \hat{y} = 1.953x + (-3.395) \] - **Note:** Values are rounded to three decimal places. ### Graph Selection - (e) **Graph the least-squares regression line** on a scatter diagram and choose the correct graph from the options. The correct graph is labeled **B** which shows the line matching the dataset trend. ### Graph Description - Graph B features a straight line that visually fits the scatter plot points with the data posited around the line, demonstrating an upward slope starting slightly below the y-axis. ### Sum of Squared Residuals - (f) **Sum of squared residuals for line found in part (b)** is calculated as: - **Value:** 4.000 - (g) **Sum of squashed residuals for least-squares regression line found in part (d)** is computed as: - **Value:** 3.163 All numerical values are rounded to three decimal places as needed for precision and clarity.
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