Question

Determine the Pearson product-moment correlation coefficient for the following data.

x	1	11	9	6	4	3	2
y	10	4	6	5	7	7	10

(Do not round the intermediate values. Round your answer to 3 decimal places.)


Correlation coefficient, r =

Answer 1

Solution:

X	Y	XY	X^2	Y^2
1	10	10	1	100
11	4	44	121	16
9	6	54	81	36
6	5	30	36	25
4	7	28	16	49
3	7	21	9	49
2	10	20	4	100

n	7
sum(XY)	207.00
sum(X)	36.00
sum(Y)	49.00
sum(X^2)	268.00
sum(Y^2)	375.00
Numerator	-315.00
Denominator	360.44
r	-0.8739
r square	0.7637
Xbar(mean)	5.1429
Ybar(mean)	7.0000
SD(X)	3.4480
SD(Y)	1.8930
b	-0.5431
a	9.7931

r = -0.874