Question in attached image. Homework: One researcher posited that chemistry understanding is dependent on understanding mathematics. They conducted an experiment examining mathematics understanding of a certain topic (on a scale of 8) and the related chemistry understanding (on a scale of 8) and found the following data.| Mathematics | Chemistry ||-------------|-----------|| 6 | 6.5 || 4 | 4.5 || 8 | 7 || 5 | 5 || 3.5 | 4 |a. Conduct linear regression by hand to find a best fit line for the data.b. Calculate the correlation coefficient for the line by hand. Interpret results.**Explanation:**This homework task involves using statistical methods to analyze the relationship between mathematics and chemistry understanding. It requires calculating the line of best fit using linear regression and determining the strength of the relationship with the correlation coefficient. Students are encouraged to perform these calculations manually to deepen their understanding of the methods.

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Description: Question in attached image. Homework: One researcher posited that chemistry understanding is dependent on understanding mathematics. They conducted an experiment examining mathematics understanding of a certain topic (on a scale of 8) and the related

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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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Homework: One researcher posited that chemistry understanding is dependent on understanding mathematics. They conducted an experiment examining mathematics understanding of a certain topic (on a scale of 8) and the related chemistry understanding (on a scale of 8) and found the following data.

| Mathematics | Chemistry |
|-------------|-----------|
| 6 | 6.5 |
| 4 | 4.5 |
| 8 | 7 |
| 5 | 5 |
| 3.5 | 4 |

a. Conduct linear regression by hand to find a best fit line for the data.
b. Calculate the correlation coefficient for the line by hand. Interpret results.

**Explanation:**

This homework task involves using statistical methods to analyze the relationship between mathematics and chemistry understanding. It requires calculating the line of best fit using linear regression and determining the strength of the relationship with the correlation coefficient. Students are encouraged to perform these calculations manually to deepen their understanding of the methods.

Expert Solution

Step 1

(a)

Obtain the value of b(slope)

The value of slope is obtained below as follows:

The value of x is obtained below:

From the information, given that

Thus, the value of x is 5.3

Obtain the value of y.

The value of y is obtained below:

The required value is,

Thus, the value of y is 5.4

Thus, the value of b is 0.6953.

Obtain the value of a

The value of a is obtained below:

The formula to obtain a is,

Thus, the value of a is 1.7148.

Thus, the required regression equation is,

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