Consider the data given below. Calculate the sums of squares, Sxx and Sxy (Use all decimal places in your sum of square answ Sxx Sxy 11 X 1 2 3 4 5 6 y 5.9 4.9 4.8 4 3.5 3 =
Consider the data given below. Calculate the sums of squares, Sxx and Sxy (Use all decimal places in your sum of square answ Sxx Sxy 11 X 1 2 3 4 5 6 y 5.9 4.9 4.8 4 3.5 3 =
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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![**Transcription:**
### Least-Squares Regression Analysis
**Consider the data given below:**
| x | y |
|---|----|
| 1 | 5.9|
| 2 | 4.9|
| 3 | 4.8|
| 4 | 4.3|
| 5 | 3.5|
| 6 | 3 |
**Instructions:**
1. **Calculate the sums of squares, \( S_{xx} \) and \( S_{xy} \).**
(Use all decimal places in your sum of squares answers.)
- \( S_{xx} = \) [Textbox]
- \( S_{xy} = \) [Textbox]
2. **Find the least-squares line for the data.**
(Round your numerical values to four decimal places.)
- \( y = \) [Textbox]
3. **Plot the points and graph the line on the same graph.**
- **First Graph:** A plot showing a decreasing linear trend with the data points scattered around a negatively sloped line.
- **Second Graph:** A plot that appears to have an increasing trend. The data points are aligned closely along a positively sloped line.
- **Third Graph:** Similar to the second graph, showing data points along a steeply upward sloping line.
Each graph has axes labeled with \( x \) and \( y \), ranging approximately from 0 to 7 on both axes, with points marked at intervals corresponding to the provided data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e02f2d-b0b4-40f2-b59c-ee2919cc5490%2Ff389b4ba-96e0-4fb4-83e7-5d93da4ce4c8%2Fai2pzech_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription:**
### Least-Squares Regression Analysis
**Consider the data given below:**
| x | y |
|---|----|
| 1 | 5.9|
| 2 | 4.9|
| 3 | 4.8|
| 4 | 4.3|
| 5 | 3.5|
| 6 | 3 |
**Instructions:**
1. **Calculate the sums of squares, \( S_{xx} \) and \( S_{xy} \).**
(Use all decimal places in your sum of squares answers.)
- \( S_{xx} = \) [Textbox]
- \( S_{xy} = \) [Textbox]
2. **Find the least-squares line for the data.**
(Round your numerical values to four decimal places.)
- \( y = \) [Textbox]
3. **Plot the points and graph the line on the same graph.**
- **First Graph:** A plot showing a decreasing linear trend with the data points scattered around a negatively sloped line.
- **Second Graph:** A plot that appears to have an increasing trend. The data points are aligned closely along a positively sloped line.
- **Third Graph:** Similar to the second graph, showing data points along a steeply upward sloping line.
Each graph has axes labeled with \( x \) and \( y \), ranging approximately from 0 to 7 on both axes, with points marked at intervals corresponding to the provided data.
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