Question

# A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per...

A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per week) in a sample of 10 students. The following table lists the hypothetical results of this study.

Internet Use Social Interaction
X Y
6 4
7 5
5 7
8 5
13 4
3 6
3 4
6 6
2 9
10 4

(a) Compute the Pearson correlation coefficient. (Round your answer to three decimal places.)

(b) Compute the coefficient of determination. (Round your answer to three decimal places.)

 X Y XY X^2 Y^2 6 4 24 36 16 7 5 35 49 25 5 7 35 25 49 8 5 40 64 25 13 4 52 169 16 3 6 18 9 36 3 4 12 9 16 6 6 36 36 36 2 9 18 4 81 10 4 40 100 16

 n 10 sum(XY) 310 sum(X) 63 sum(Y) 54 sum(X^2) 501 sum(Y^2) 316 Numerator -302 Denominator 503.99 r -0.599 r square 0.359

a)

Pearson correlation coefficient = -0.599

b)

coefficient of determination. = 0.359

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