Question

The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal...

The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal places.)

Regression equation is-

When X gives 6 this gives-

x 3 5 3 6 7
y 3 6 5 7 7

Homework Answers

Answer #1
Line of Regression Y on X i.e Y = bo + b1 X
X Y (Xi - Mean)^2 (Yi - Mean)^2 (Xi-Mean)*(Yi-Mean)
3 3 3.24 6.76 4.68
5 6 0.04 0.16 0.08
3 5 3.24 0.36 1.08
6 7 1.44 1.96 1.68
7 7 4.84 1.96 3.08

calculation procedure for regression
mean of X = ∑ X / n = 4.8
mean of Y = ∑ Y / n = 5.6
∑ (Xi - Mean)^2 = 12.8
∑ (Yi - Mean)^2 = 11.2
∑ (Xi-Mean)*(Yi-Mean) = 10.6
b1 = ∑ (Xi-Mean)*(Yi-Mean) / ∑ (Xi - Mean)^2
= 10.6 / 12.8
= 0.83
bo = ∑ Y / n - b1 * ∑ X / n
bo = 5.6 - 0.83*4.8 = 1.63
value of regression equation is, Y = bo + b1 X
Y'=1.63+0.83* X          

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