Question

Calculate the Pearson Product-Moment Correlation Coefficient, r, for the following data set.

x	y
59	-119
24	-35
50	-107
47	-73
41	-78
72	-117
40	-55

Round your answer to three decimal places.

Answer 1

Solution:

X	Y	XY	X^2	Y^2
59	-119	-7021	3481	14161
24	-35	-840	576	1225
50	-107	-5350	2500	11449
47	-73	-3431	2209	5329
41	-78	-3198	1681	6084
72	-117	-8424	5184	13689
40	-55	-2200	1600	3025

n	7
sum(XY)	-30464.00
sum(X)	333.00
sum(Y)	-584.00
sum(X^2)	17231.00
sum(Y^2)	54962.00
Numerator	-18776.00
Denominator	20613.09
r	-0.9109
r square	0.8297
Xbar(mean)	47.5714
Ybar(mean)	-83.4286
SD(X)	14.8483
SD(Y)	29.7120
b	-1.9301
a	8.3890

r = -0.911