Question

X Independent variable	Y dependent Variable
15	5
12	7
10	9
7	11

You are given the above information on x and y. The coefficient of determination equals

a. .99705

b. .9941

c. -.99705

d. -.9941

Answer 1

Solution :

X	Y	XY	X^2	Y^2
15	5	75	225	25
12	7	84	144	49
10	9	90	100	81
7	11	77	49	121

n	4
sum(XY)	326.00
sum(X)	44.00
sum(Y)	32.00
sum(X^2)	518.00
sum(Y^2)	276.00
Numerator	-104.00
Denominator	104.31
r	-0.9971
r square	0.9941
Xbar(mean)	11.0000
Ybar(mean)	8.0000
SD(X)	2.9155
SD(Y)	2.2361
b	-0.7647
a	16.4118

The coefficient of determination = r ² = 0.9941

b)