Question

From the following data find two regression equations. 

x	4	2	8	7	9
y	10	8	4	7	6

Answer 1

n = 5

Regression equation of x on y: 

(x – x̄) = bxy (y – ȳ)

x – 6 = -0. 95 (y -7)

= -0.95 y + 6.65

x = -0.95 y + 6.65 + 6

x = -0.95y + 12.65

Regression equation of y on x:

(y – ȳ) = byx (x – x̄)

y – 6 = -0.2474 (x – 6) 

= -0.2474 x + 1.4844

y = – 0.2474 x + 1.4844 + 6

y = – 0.2474 x + 7.4844.