Question

20. For two variables x and y with the same mean the regression equation are y=2x-a and x = 2y- B; what is the value of common mean [MTP-March-19, Aug-18] 2 (a) ca (b) 0 (c) B (d) -B​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Option- c is correct that is the value of common mean b when the regression equation are y = 2x - a and x = 2y - b.

Given that,

Regression equations for two variables with the same mean, x and y, are y = 2x - a and x = 2y - b.

We have to find what is the value of common mean.

We know that,

The means is same that is

x = y

Let take y = 2x - a -----> equation(1) and x = 2y - b ----> equation(2)

Substitute x = y in equation(2)

y = 2y - b

2y - y - b = 0

y - b = 0

y = b

Therefore, Option- c is correct that is the value of common mean b.

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