Question

The following data gives the number of hours 7 students spent studying and their corresponding grades...

The following data gives the number of hours 7 students spent studying and their corresponding grades on their exams.

Hours Spent Studying 0 1 2 2.5 3 3.5 4.5
Grades 60 63 66 75 78 84 87

Step 1 of 3: Calculate the correlation coefficient, r. Round your answer to six decimal places.

Step 2 of 3: Determine if r is statistically significant at the 0.01level. (correlation is statistically significant or not)

Step 3 of 3: Calculate the coefficient of determination, r2. Round your answer to three decimal places.

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Answer #1

The statistical software output for this problem is :

Simple linear regression results: Dependent Variable: y Independent Variable: x y=57.502577-6.6958763 x Sample size: 7 R (cor

correlation coefficient, r = 0.967714

correlation is statistically significant

coefficient of determination = 0.936

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