Graph the least-squares regression line on the scatter diagram. Choose the correct graph below.
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
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00e5d0fd-d29d-4158-acae-9d363981be4a%2Fb4059f32-bb26-44e6-9a93-dcfb1c72acf8%2Fn1mw4nc_processed.png&w=3840&q=75)
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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