statistics

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Following are two normal equations obtained for deriving the regression line of y and x:

5a + 10b = 40

10a + 25b = 95

the regression line of y on x is giveb by:

a)  2x + 3y + = 5

b)  2y + 3x + = 5

c)  y = 2 + 3x

c)  y = 3 + 5x

Replies (1)

We need to solve the two normal equations to get the value of 'a' (y intercept) & 'b' (slope) of the regression line y on x.

5a + 10b = 40          Multiply the eqn. by 2 & solve

10a + 25b = 95

10a + 20b = 80

so 'b' = 3 & 'a'  = 2

The equation would be Y = 2 + 3X 

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