# From the data given below: Marks in Economics: 25 28 35 32 31 Marks in Statistics: 43 46 49 41 36

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From the data given below:

 Marks in Economics: 25 28 35 32 31 Marks in Statistics: 43 46 49 41 36
 Marks in Economics: 36 29 38 34 32 Marks in Statistics: 32 31 30 33 39

Find

(a) The two regression equations

(b) The coefficient of correlation between marks in Economics and statistics

(c) The most likely marks in Statistics when the marks in Economics is 30.

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(a) Regression equation of X on Y.

Regression equation of Y on X.

(b) Coefficient of correlation r = $\pm \sqrt{b_{xy}\times\,b_{yx}}$

$\sqrt{(-0.234)(-0.664)}$

= -0.394

(c) When X = 30, Y = ?

Y = -0.664(30) + 59.248

= -19.92 + 59.248

= 39.328