Question

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

Answer 1

`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`