Slopes and Intercepts

[pawandh]

In linear regression we have y=b0 +b1x

 where bo is the itercept and b1 is the slope.

b1=y2-y1/x2-x1 ,by this we get the slope

and b0 we get by putting the x=0

In multiple linear regression we have Y=b0+b1x1+b2x2+b3x3

now here how can we get the intercept and slope??

For intercept do we need to put x1,x2 and x3 all to 0??

[Norman21]

The coefficients of each x term are the slopes.

If you set all the x to zero, you can calculate the intercept.

This explains it well: https://www.st-andrews.ac.uk/media/capod/students/mathssupport/Simple-linear-regression.pdf

Norman.

[Ksharp]

No. You can't . It is high dimension data. There are lots of  intercept and slope satisfied multiple linear regression Y=b0+b1x1+b2x2+b3x3

But only one of them is nearest center(has the smallest NORM), and SAS use OLS or ML to get that one .