Question

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

x 1 10 9 7 5 3 2

y 8 4 6 5 7 7 8

(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	8	8	1	64
10	4	40	100	16
9	6	54	81	36
7	5	35	49	25
5	7	35	25	49
3	7	21	9	49
2	8	16	4	64

n	7
sum(XY)	209.00
sum(X)	37.00
sum(Y)	45.00
sum(X^2)	269.00
sum(Y^2)	303.00
Numerator	-202.00
Denominator	222.14
r	-0.9094
r square	0.8269
Xbar(mean)	5.2857
Ybar(mean)	6.4286
SD(X)	3.1842
SD(Y)	1.3437
b	-0.3930
a	8.5058

Correlation coefficient, r = -0.909