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Compute the least squares regression line for the data in Exercise 4 of Chapter 10, Section...

Compute the least squares regression line for the data in Exercise 4 of Chapter 10, Section 2 “The Linear Correlation Coefficient”. data: x 1 2 4 7 9 y 5 5 6 - 3 0

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Answer #1

Solution :

X Y XY X^2 Y^2
1 5 5 1 25
2 5 10 4 25
4 6 24 16 36
7 -3 -21 49 9
9 0 0 81 0
n 5
sum(XY) 18.00
sum(X) 23.00
sum(Y) 13.00
sum(X^2) 151.00
sum(Y^2) 95.00
Numerator -209.00
Denominator 262.98
r -0.7948
r square 0.6316
Xbar(mean) 4.6000
Ybar(mean) 2.6000
SD(X) 3.0067
SD(Y) 3.4986
b -0.9248
a 6.8540

the least squares regression line for the data is ,

= 6.8540 - 0.9248 X

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