Question

10. Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.

x	1	3	5	7	9
y	143	116	100	98	90

A) y = -150.7 + 6.8x

B) y = 150.7 - 6.8x

C) y = -140.4 + 6.2x

D) y = 140.4 - 6.2x

Group of answer choices

Answer 1

solution,

X	Y	XY	X^2	Y^2
1	143	143	1	20449
3	116	348	9	13456
5	100	500	25	10000
7	98	686	49	9604
9	90	810	81	8100

n	5
sum(XY)	2487.00
sum(X)	25.00
sum(Y)	547.00
sum(X^2)	165.00
sum(Y^2)	61609.00
Numerator	-1240.00
Denominator	1329.36
r	-0.9328
r square	0.8701
Xbar(mean)	5.0000
Ybar(mean)	109.4000
b	-6.2000
a	140.4000

b = -6.2000

a = 140.4000

y = a + bx

y = 140.400 + (-6.200)x

Answer : y = 140.4 - 6.2x ( Correct option D )