The following data gives the number of hours 7 students spent studying and their corresponding grades on their midterm exams.Hours Spent Studying0.51.52.53.544.55.5Midterm Grades69727884879396 Calculate the correlation coefficient, r. Round your answer to six decimal places.

Question
Asked Nov 27, 2019
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The following data gives the number of hours 7 students spent studying and their corresponding grades on their midterm exams.

Hours Spent Studying 0.5 1.5 2.5 3.5 4 4.5 5.5
Midterm Grades 69 72 78 84 87 93 96
 

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

 
 
 
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Expert Answer

Step 1

Step-by-step procedure to obtain the correlation coefficient using Excel-Mega Stat is given below:

  • Enter the data into Excel spreadsheet.
  • Choose MegaStat > Correlation/Regression > Correlation Matrix.
  • In Input ranges, Select the data values as Hours spent and Midterm Grades.
  • Click OK.
Step 2

Output obtained using Excel-Mega Stat is represented as follows:

Fro...

Correlation Matrix
Hors spent Midterm Grades
1.000
990
Hors spent
Midterm Grades
1.000
7 sample size
754 critical value 05 (two-tail)
875 critical value 01 (two-tail)
r = 0.990
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Correlation Matrix Hors spent Midterm Grades 1.000 990 Hors spent Midterm Grades 1.000 7 sample size 754 critical value 05 (two-tail) 875 critical value 01 (two-tail) r = 0.990

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