Question

Obtain the regression equation of y on x and hence estimate y when x = 32.

Answer 1

Choose A and B the assumed means as : A = 25, and B = 27.5 from the respective mid points of the variables x and y width x: ix = 10 and width y : iy = 5

Regression equation of y on x

4 – 34.5 = 0.723 (x – 38.667)

= 0.723 x – 27.96 + 34.5

y = 0.723 x – 27.956+ 34.5

y = 0723x +6.544

Estimation of y when x = 32

y = 0.723 (32)+ 6.544

= 23.136 + 6.544 = 29.68