A university statistician found that the correlation between college GPA and sta

Question

A university statistician found that the correlation between college GPA and starts salary was 0.12. On the basis of this you would tell the university that GPA is a good predictor of starting salary students with low GPA's will have the lowest starting salaries GPA is a poor predictor of starting salary J o students with high GPA's will have the highest starting salaries J Determine the linear correlation coefficient. In an area of the Great Plains, records were kept on the relationship between the rainfall (m inches) and the yield of wheat (bushels per acre) Calculate the linear correlation coefficient

Explanation / Answer

18 ) The correlation coefficient between college GPA and starting salary was 0.12.

This indicates that there is positive correlarion between college GPA and starting salary.

Positive correlation indicates that as college GPA increases starting salary salary also increases.

Therefore fourth option is correct.

Student with high GPA's will have the highest starting salaries.

19) We have to find correlation coefficient between x and y.

r = n(xy) - (x)(y) / sqrt { [ nx2 - (x)2 ] * [ ny2 - (y)2 }

= 10*6189.73 - (103*496.8) / sqrt { [10*1293.9 - 1032 ] * [10*29718.18 - 496.8 ] }

= 10726.9 / sqrt { 2330*50371.56 }

= 10726.9 / 10833.55

r = 0.9902

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