Question

Given the following five pairs of (x, y) values, x 3 5 9 6 12 y...

Given the following five pairs of (x, y) values,
x 3 5 9 6 12
y 10 6 4 2 0

Determine the least squares regression line.
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

X Y XY X^2 Y^2
3 10 30 9 100
5 6 30 25 36
9 4 36 81 16
6 2 12 36 4
12 0 0 144 0

n 5
sum(XY) 108.00
sum(X) 35.00
sum(Y) 22.00
sum(X^2) 295.00
sum(Y^2) 156.00
Numerator -230.00
Denominator 272.03
r -0.8455
r square 0.7149
Xbar(mean) 7.0000
Ybar(mean) 4.4000
SD(X) 3.1623
SD(Y) 3.4409
b -0.9200
a 10.8400

The least squares regression line is,

Y hat = 1084 - 0.920 (X)

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