Question

For the following scores, find the regression equation for predicting Y from X X Y 3...

For the following scores, find the regression equation for predicting Y from X X Y 3 8 6 4 3 5 3 5 5 3

Math   Statistics-And-Probability   
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Answer #1

Solution :

X Y XY X^2 Y^2
3 8 24 9 64
6 4 24 36 16
3 5 15 9 25
3 5 15 9 25
5 3 15 25 9

  

n 5
sum(XY) 93.00
sum(X) 20.00
sum(Y) 25.00
sum(X^2) 88.00
sum(Y^2) 139.00
Numerator -35.00
Denominator 52.92
r -0.6614
r square 0.4375
Xbar(mean) 4.0000
Ybar(mean) 5.0000
SD(X) 1.2649
SD(Y) 1.6733
b -0.8750
a 8.5000

The regression equation,

= a + bx

= 8.50 + (-0.875)x

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