Question

Given the following five pairs of (x, y) values, x 5 3 10 7 14 y...

Given the following five pairs of (x, y) values,
x 5 3 10 7 14
y 10 6 4 3 0


Determine the least squares regression line.

ANSWER correct to 4 decimal places
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

X Y XY X^2 Y^2
5 10 50 25 100
3 6 18 9 36
10 4 40 100 16
7 3 21 49 9
14 0 0 196 0
n 5
sum(XY) 129.00
sum(X) 39.00
sum(Y) 23.00
sum(X^2) 379.00
sum(Y^2) 161.00
Numerator -252.00
Denominator 321.28
r -0.7844
r square 0.6152
Xbar(mean) 7.8000
Ybar(mean) 4.6000
SD(X) 3.8678
SD(Y) 3.3226
b -0.6738
a 9.8556

The least squares regression line is :

y hat = 9.8556 - 0.6738 x

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