Question

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

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 22 2.52.5 33 3.53.5 44 55 5.55.5 66
Midterm Grades 6060 6969 7575 7878 8484 8787 9090 9393 9696 9999

Copy Data

Step 1 of 3:

Draw a scatter plot of the given data.

Step 2 of 3:

Estimate the correlation in words: positive, negative, no correlation.

Step 3 of 3:

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

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Step 1

Step 2

There is positive correlation between variables.

Step 3

Hours Spent Studying (X) Midterm Grades (Y) X * Y X2 Y2
0.5 60 30 0.25 3600
1 69 69 1 4761
2 75 150 4 5625
2.5 78 195 6.25 6084
3 84 252 9 7056
3.5 87 304.5 12.25 7569
4 90 360 16 8100
5 93 465 25 8649
5.5 96 528 30.25 9216
6 99 594 36 9801
Total 33 831 2947.5 140 70461



r = 0.982

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