Programming the statistical procedures from SAS

Slopes and Intercepts

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Contributor
Posts: 59

Slopes and Intercepts

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??

Contributor
Posts: 66

Re: Slopes and Intercepts

[ Edited ]

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.

Norman.
SAS 9.4 (TS1M4) X64_7PRO WIN 6.1.7601 Service Pack 1 Workstation

Super User
Posts: 9,775

Re: Slopes and Intercepts

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 .

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