Question

X Y X^2 Y^2 XY 9 -22 81 484 -198 5 -12 25 144 -60 7...

X Y X^2 Y^2 XY
9 -22 81 484 -198
5 -12 25 144 -60

7

 -13 49 169 -91
21 -47 155 797 -349

Calculate the following by hand:

r=

Regression Equation:
Y= X+

Math   Statistics-And-Probability   
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Homework Answers

Answer #1
X Y X * Y X2 Y2
9 -22 -198 81 484
5 -12 -60 25 144
7 -13 -91 49 169
Total 21 -47 -349 155 797



r = -0.908

Equation of regression line is Ŷ = a + bX

b = ( 3 * -349 - 21 * -47 ) / ( 3 * 155 - ( 21 )^{2})
b = -2.5


a =( Σ Y - ( b * Σ X) ) / n
a =( -47 - ( -2.5 * 21 ) ) / 3
a = 1.833


Equation of regression line becomes Ŷ = 1.8333 - 2.5 X


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