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Math 201: Computation of Correlation Coefficient

The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Find the correlation coefficient between hours studied and final exam scores. Is there a weak or strong, positive or negative correlation between hours studied and final exam scores?

Hours x 3 5 2 8 2 4 4 5 6 3
Scores y 65 80 60 88 66 78 85 90 90 71

(Show work)

Solution Preview

Pearson r correlation coefficient can be used in the data.

N(sumXY) - (sumX) (sumY)
Pearson r formula = ---------------------------------------------------
Sqrt (N(sumX^2) - (sumX)^2) (N(sumY^2) - (sumY)^2)

x x2 y y2 xy
3 9 65 4225 195
5 25 80 6400 400
2 4 60 3600 120
8 64 88 7744 704
2 4 66 4356 132
4 16 78 6084 312
4 16 85 7225 340
5 25 90 8100 450
63 3969 71 5041 4473
sum 96 4132 ...

Solution Summary

The solution computes for the correlation coefficient between final exam scores of 10 randomly selected statistics students and the number of hours studied. Based on the given data, it was found out that there is negligible relationship between hours studied and final exam scores.

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