The following data gives the number of hours 1010 students spent studying and their corresponding grades on their midterm exams.Hours Spent Studying0.50.5111.51.5222.52.5334.54.5555.55.566Midterm Grades6060636369697272757578788787939396969999Copy DataStep 3 of 3 : Calculate the correlation coefficient, r. Round your answer to three decimal places.

Name: The following data gives the number of hours 1010 students spent study
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Description: The following data gives the number of hours 1010 students spent studying and their corresponding grades on their midterm exams.Hours Spent Studying0.50.5111.51.5222.52.5334.54.5555.55.566Midterm Grades6060636369697272757578788787939396969999Copy Dat

Provided information is ; Hours Spent Studying(x) Midterm Grades(y) 0.5 60 0.5 60 1 63 1…

Answered: The following data gives the number of…

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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The following data gives the number of hours 1010 students spent studying and their corresponding grades on their midterm exams.

Hours Spent Studying	0.50.5	11	1.51.5	22	2.52.5	33	4.54.5	55	5.55.5	66
Midterm Grades	6060	6363	6969	7272	7575	7878	8787	9393	9696	9999

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Step 3 of 3 :

Calculate the correlation coefficient, r. Round your answer to three decimal places.

Expert Solution

Step 1

Provided information is ;

Hours Spent Studying(x)	Midterm Grades(y)
0.5	60
0.5	60
1	63
1	63
1.5	69
1.5	69
2	72
2	72
2.5	75
2.5	75
3	78
3	78
4.5	87
4.5	87
5	93
5	93
5.5	96
5.5	96
6	99
6	99

Formula :

Correlation coefficient (r) = $\frac{n (\sum_{}^{} x y) - (\sum_{}^{} x) \times (\sum_{}^{} y)}{\sqrt{[n {\sum x^{2}}_{}^{} - {(\sum_{}^{} x)}^{2}] [n \sum_{}^{} y^{2} - {(\sum_{}^{} y)}^{2}]}}$

where , y : dependent variable

x : independent variable

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