Question

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

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