MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.](https://content.bartleby.com/qna-images/question/68a1b863-bec7-4997-8d33-dc81d338a946/7b216121-632b-4286-9ffb-b085475f281b/7avub6g_processed.jpeg)
Transcribed Image Text:**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
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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.
Step by stepSolved in 2 steps with 2 images
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