Linear Regression
Formula
Regression Coefficients
The Regression Coefficient of y on x is denoted by
(we use this formula when x, y are small numbers)
(when are small fraction less numbers)
(when are assumed means)
(where is the standard deviation of xvariate, is the standard deviation of yvariate and r is the coefficient of correlation)
The Regression Coefficient of x on y is denoted by
(we use this formula when x, y are small numbers)
(when are small fraction less numbers)
(when , are assumed means)
(where is the standard deviation of xvariate, is the standard deviation of yvariate and r is the coefficient of correlation)
Coefficient of correlation:
are of the same sign.
Equations of two lines of regression
The regression equation of y on x is
The regression equation of x on y is
The two regression lines intersect at
The acute angle θ between two regression lines is given by
If two lines coincide then θ = 0 .
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ISC – Class 12 – Mathematics – Sem 2 – 2022 – Sample Paper

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