Question

Use a calculator to verify that Σx = 132, Σx² = 6552, Σy = 149, Σy² = 4765, and Σxy = 2971. Compute r. (Round your answer to three decimal places)

x	3	7	15	37	70
y	40	35	30	28	16

Answer 1

Solution :

X	Y	XY	X^2	Y^2
3	40	120	9	1600
7	35	245	49	1225
15	30	450	225	900
37	28	1036	1369	784
70	16	1120	4900	256
X	Y	XY	X^2	Y^2
3	40	120	9	1600
7	35	245	49	1225
15	30	450	225	900
37	28	1036	1369	784
70	16	1120	4900	256

n	5
sum(XY)	2971.00
sum(X)	132.00
sum(Y)	149.00
sum(X^2)	6552.00
sum(Y^2)	4765.00
Numerator	-4813.00
Denominator	4990.56
r	-0.9644
r square	0.9301
Xbar(mean)	26.4000
Ybar(mean)	29.8000
b	-0.3138
a	38.0853

r = -0.964