Thread: Regression line

The regression line: ^
y =3+2x has been fitted to the data points (4,8),(2,5) and (1,2). The residual sum of squares will be?

Originally Posted by jax760

The regression line: ^
y =3+2x has been fitted to the data points (4,8),(2,5) and (1,2). The residual sum of squares will be?

The formula (which you should already know or have been able to look up) is here: Residual sum of squares - Wikipedia, the free encyclopedia

Your question is mere arithmetic computation. Where are you stuck?

I was stuck on what formula I should use to solve the problem, my stat book does not have that formula, my teacher expects us to know what he hasn't even tought us, he engineers his own proplems. Thanks for the help.

The residuals are the difference between your true y's...8,5,2 and the fitted y's. To get the fitted y's you estimate y via your line.
So plug in x=4,2,1 to get the fitted values of y.
Take the difference and that's your residuals.
Square and add (and shake not stir) and you have SSE, sums of square due to error/residual.