Question

Compute the least squares regression line for the data in Exercise 2 of Chapter 10, Section 2 “The Linear Correlation Coefficient”. data: x 0 2 3 6 9 y 0 3 3 4 8

Answer 1

Solution:

From the data

X	Y	XY	X^2	Y^2
0	0	0	0	0
2	3	6	4	9
3	3	9	9	9
6	4	24	36	16
9	8	72	81	64

n	5
sum(XY)	111.00
sum(X)	20.00
sum(Y)	18.00
sum(X^2)	130.00
sum(Y^2)	98.00
Numerator	195.00
Denominator	203.72
r	0.9572
r square	0.9163
Xbar(mean)	4.0000
Ybar(mean)	3.6000
SD(X)	3.1623
SD(Y)	2.5768
b	0.7800
a	0.4800

The Linear Correlation Coefficient = r = 0.9572