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   y 2 -3 -15 -10 -6 -8 -13 -14-

Answer 1

Solution:

X	Y	XY	X^2	Y^2
-9	2	-18	81	4
-70	-3	210	4900	9
-3	-15	45	9	225
-5	-10	50	25	100
-6	-6	36	36	36
-4	-8	32	16	64
-2	-13	26	4	169
-1	-14	14	1	196

n	8
sum(XY)	395.00
sum(X)	-100.00
sum(Y)	-67.00
sum(X^2)	5072.00
sum(Y^2)	803.00
Numerator	-3540.00
Denominator	7691.85
r	-0.4602
r square	0.2118
Xbar(mean)	-12.5000
Ybar(mean)	-8.3750
SD(X)	24.1483
SD(Y)	5.3437
b	-0.1158
a	-9.8222

r = -0.460