How do you calculate the slope and intercept of a regression line?

1 Answer
Jun 29, 2016

m=(nSigmaxy-(Sigmax)(Sigmay))/(nSigmax^2-(Sigmax)^2)

and c=(Sigmay-mSigmax)/n

Explanation:

Let the data be given as (x,y) and data set be

(x_1,y_1),(x_2,y_2),(x_3,y_3),.......(x_n,y_n).

Then the fit for given data is of the type y=mx+c, m being slope of regression line and c being intercept of regression line.

Here m=(nSigmaxy-(Sigmax)(Sigmay))/(nSigmax^2-(Sigmax)^2)

and c=(Sigmay-mSigmax)/n