Question

Calculate the linear correlation coefficient for the data below. Round to three decimal places. x -9 -7 0 -3 -5 -6 -4 -2 -1 -8

y 2 -3 -15 -10 -6 -5 -8 -13 -14 -1

Answer 1

Solution:

X	Y	XY	X^2	Y^2
-9	2	-18	81	4
-7	-3	21	49	9
0	-15	0	0	225
-3	-10	30	9	100
-5	-6	30	25	36
-6	-5	30	36	25
-4	-8	32	16	64
-2	-13	26	4	169
-1	-14	14	1	196
-8	-1	8	64	1

n	10
sum(XY)	173.00
sum(X)	-45.00
sum(Y)	-73.00
sum(X^2)	285.00
sum(Y^2)	829.00
Numerator	-1555.00
Denominator	1562.95
r	-0.9949
r square	0.9898
Xbar(mean)	-4.5000
Ybar(mean)	-7.3000
SD(X)	2.8868
SD(Y)	5.3359
b	-1.8848
a	-15.7818

r = -0.995