Question

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.)

Answer 1

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)	310.00
sum(X)	63.00
sum(Y)	54.00
sum(X^2)	501.00
sum(Y^2)	316.00
Numerator	-302.00
Denominator	503.99
r	-0.599
r square	0.359

a)

Pearson correlation coefficient = -0.599

b)

coefficient of determination. = 0.359