Answer to Question #293962 in Statistics and Probability for Swathika

Question

Obtain the equation of the regression line Y

on X from the following data :

X 3 5 6 8 9 11

Y 2 3 4 6 5 8

Answer 1

Solution:

Sum of X = 42

Sum of Y = 28

Mean X = 7

Mean Y = 4.6667

Sum of squares (SS_X) = 42

Sum of products (SP) = 30

Regression Equation = ŷ = bX + a

b = SP/SS_X = 30/42 = 0.71429

a = M_Y - bM_X = 4.67 - (0.71$\times$ 7) = -0.33333

ŷ = 0.71429X - 0.33333