SOLUTION: The following sample observations were randomly selected. X: 4,5,3,6,10 Y: 4,6,5,7,7 a. Determine the regression equation. b. Determine the value of Ŷ when X is 7.

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Question 766645: The following sample observations were randomly selected.
X: 4,5,3,6,10
Y: 4,6,5,7,7
a. Determine the regression equation.
b. Determine the value of Ŷ when X is 7.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
The regression equation minimizes the square of the difference between the values of the sample points and a line of the form . Carrying out the math, this gives


where

and
=number of samples,
= sum of ,
=sum of ,
=sum of ,
=sum of
This gives


The value for when is

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