**Finding the Equation of the Regression Line**Use the given data to find the equation of the regression line.| x | 11 | 9 | 13 | 8 | 12 | 13 | 4 | 7 | 11 | 6 ||---|----|----|----|-----|----|----|-----|----|----|-----|| y | 7.49 | 6.67 | 13.18 | 6.83 | 7.61 | 8.83 | 5.16 | 5.89 | 8.44 | 6.51 |**Data Point to Predict:**- x = 6- y = 5.93**Find the equation of the regression line:**\[\hat{y} = \square + \square x\]**Graph Details:**The table shows paired values of `x` and `y`, used to derive a regression line equation. The aim is to establish a predictive relationship between variable `x` and outcome `y`. You need to find the slope and intercept to complete the equation: $\hat{y} = \text{slope} \times x + \text{intercept}$.Use these values to calculate and interpret the relationship and make predictions.

Name: **Finding the Equation of the Regression Line**Use the given data to
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Description: **Finding the Equation of the Regression Line**Use the given data to find the equation of the regression line.| x | 11 | 9 | 13 | 8 | 12 | 13 | 4 | 7 | 11 | 6 ||---|----|----|----|-----|----|----|-----|----|----|-----|| y | 7.49 | 6.67 | 13.

From the given information, X 11 9 13 8 12 13 4 7 11 6 6 Y 7.49…

Answered: Use the given data to tind the equation…

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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**Finding the Equation of the Regression Line**

Use the given data to find the equation of the regression line.

| x | 11 | 9 | 13 | 8 | 12 | 13 | 4 | 7 | 11 | 6 |
|---|----|----|----|-----|----|----|-----|----|----|-----|
| y | 7.49 | 6.67 | 13.18 | 6.83 | 7.61 | 8.83 | 5.16 | 5.89 | 8.44 | 6.51 |

**Data Point to Predict:**

- x = 6
- y = 5.93

**Find the equation of the regression line:**

\[
\hat{y} = \square + \square x
\]

**Graph Details:**

The table shows paired values of `x` and `y`, used to derive a regression line equation. The aim is to establish a predictive relationship between variable `x` and outcome `y`. You need to find the slope and intercept to complete the equation: $\hat{y} = \text{slope} \times x + \text{intercept}$.

Use these values to calculate and interpret the relationship and make predictions.

Expert Solution

Step 1

From the given information,

X	11	9	13	8	12	13	4	7	11	6	6
Y	7.49	6.67	13.18	6.83	7.61	8.83	5.16	5.89	8.44	6.51	5.93

The regression equation is obtained by using Excel.

Procedure:

Enter the data in Excel.
Click on Data > Data analysis > Regression.
Enter the Y column range in input Y range ($B$1:$B$12).
Enter the X column range in input X range ($A$1:$A$12).
Check on labels.
Click on ok.

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