Linear Regression and Correlation. y 1 -7.13 -8.76 -9.79 4 -8.12 -12.85 Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept.
Linear Regression and Correlation. y 1 -7.13 -8.76 -9.79 4 -8.12 -12.85 Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept.
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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![## Linear Regression and Correlation
### Data Table
| x | y |
|---|------|
| 1 | -7.13 |
| 2 | -8.76 |
| 3 | -9.79 |
| 4 | -8.12 |
| 5 | -12.85 |
### Instructions
1. **Compute the Linear Regression Line**
- Use the form \( y = mx + b \), where \( m \) is the slope, and \( b \) is the intercept.
- Use at least 3 decimal places. Round if necessary.
\[
y = \_\_\_\_\_x + \_\_\_\_\_
\]
2. **Compute the Correlation Coefficient**
- For this data set, use at least 3 decimal places. Round if necessary.
\[
r = \_\_\_\_\_
\]
3. **Calculate the P-value**
- Use at least 3 decimal places. Round if necessary.
\[
P\text{-value} = \_\_\_\_\_
\]
4. **Determine Significance at \( \alpha = 0.01 \)**
- **Is the correlation significant?**
- [ ] No
- [ ] Yes, significant correlation
Please fill the blanks with the computed values and select the correct significance option.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa468c45c-e596-4bb7-b4b7-93a28088c315%2F7f37a239-f4b7-461c-9407-d5a44265ac16%2Fv2gwqhn_processed.png&w=3840&q=75)
Transcribed Image Text:## Linear Regression and Correlation
### Data Table
| x | y |
|---|------|
| 1 | -7.13 |
| 2 | -8.76 |
| 3 | -9.79 |
| 4 | -8.12 |
| 5 | -12.85 |
### Instructions
1. **Compute the Linear Regression Line**
- Use the form \( y = mx + b \), where \( m \) is the slope, and \( b \) is the intercept.
- Use at least 3 decimal places. Round if necessary.
\[
y = \_\_\_\_\_x + \_\_\_\_\_
\]
2. **Compute the Correlation Coefficient**
- For this data set, use at least 3 decimal places. Round if necessary.
\[
r = \_\_\_\_\_
\]
3. **Calculate the P-value**
- Use at least 3 decimal places. Round if necessary.
\[
P\text{-value} = \_\_\_\_\_
\]
4. **Determine Significance at \( \alpha = 0.01 \)**
- **Is the correlation significant?**
- [ ] No
- [ ] Yes, significant correlation
Please fill the blanks with the computed values and select the correct significance option.
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