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+
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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