### Linear Regression and Correlation| x | y ||----|-------|| 2 | 6.32 || 3 | 9.28 || 4 | 0.14 || 5 | 0.7 || 6 | -4.04 || 7 | 3.22 |Compute the equation of the linear regression line in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the intercept.Use at least 3 decimal places. (Round if necessary)\[ y = \_\_\_\_\_ x + \_\_\_\_\_ \]Compute the correlation coefficient for this data set. Use at least 3 decimal places. (Round if necessary)\[ r = \_\_\_\_\_ \]Compute the P-value (Use \( H_A \): slope \(\neq 0\) for the alternative hypothesis.)Use at least 3 decimal places. (Round if necessary)\[ \text{P-value} = \_\_\_\_\_ \]At the alpha = 0.05 significance level, is the correlation significant?- [ ] Yes, significant correlation- [ ] No### Description of Graphs or DiagramsThe provided table displays the corresponding values of the variables \( x \) and \( y \), which will be used to perform linear regression analysis and correlation computation.1. **Equation of the Linear Regression Line**: - This will derive a linear equation \( y = mx + b \) that best fits the data. - \( m \) (slope) and \( b \) (intercept) are computed values that will be filled in.2. **Correlation Coefficient (\( r \))**: - This indicates the strength and direction of the linear relationship between \( x \) and \( y \).3. **P-value**: - This evaluates the statistical significance of the observed correlation.4. **Significance Check**: - Based on the computed P-value and the specified \( \alpha \) level of 0.05, determine if the observed correlation is statistically significant.

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y 2 6.32 9.28 4 0.14 5 0.7 6 -4.04 7 3.22 Compute the equation of the linear regression line in 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 + Compute the correlation coeficient for this data set. Use at least 3 decimal places. (Round if necessary) r= Compute the P-value (Use H4: slope = 0 for the alternative hypothesis.) Use at least 3 decimal places. (Round if necessary) P-value = At the alpha = 0.05 significance level, is the correlation significant? O Yes, significant correlation O No 3.

y 2 6.32 9.28 4 0.14 5 0.7 6 -4.04 7 3.22 Compute the equation of the linear regression line in 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 + Compute the correlation coeficient for this data set. Use at least 3 decimal places. (Round if necessary) r= Compute the P-value (Use H4: slope = 0 for the alternative hypothesis.) Use at least 3 decimal places. (Round if necessary) P-value = At the alpha = 0.05 significance level, is the correlation significant? O Yes, significant correlation O No 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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