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A calculus teacher wants to find out if her class's test scores are correlated to their overall grade point average. The data of the student's test scores and their corresponding grade point averages are found in the table below. Calculate the correlation coefficient.

Test score 98 105 100 100 106 95 116 112
______________________________________________________

GPA 2.1 2.4 3.2 2.7 2.2 2.3 3.8 3.4

a. 0.559
b. 0.716
c. -0.559
d. -0.716

© BrainMass Inc. brainmass.com October 6, 2022, 10:49 am ad1c9bdddf
https://brainmass.com/statistics/correlation/calculate-correlation-coefficient-test-scores-9218

## SOLUTION This solution is FREE courtesy of BrainMass!

Correlation = (Covariance of (x,y))/ ((standard dev of x)*(standard dev of y)).

I have solved the problem using inbuilt capability of Excel ( using command CORREL.

See the attached file.

The correct answer is b).716

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

© BrainMass Inc. brainmass.com October 6, 2022, 10:49 am ad1c9bdddf>
https://brainmass.com/statistics/correlation/calculate-correlation-coefficient-test-scores-9218