Use the given data to tind the equation of the regression lune. %3D 4 6. 13 8 12 13 7.49 6.67 13.18/6.837.61 8.83 5.16 5.898.44/6.5|| Y 5.93 Find the equation of the regreasion line
Use the given data to tind the equation of the regression lune. %3D 4 6. 13 8 12 13 7.49 6.67 13.18/6.837.61 8.83 5.16 5.898.44/6.5|| Y 5.93 Find the equation of the regreasion line
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68a1b863-bec7-4997-8d33-dc81d338a946%2F7b216121-632b-4286-9ffb-b085475f281b%2F7avub6g_processed.jpeg&w=3840&q=75)
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

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 step
Solved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman