SOLUTION: I am working on linear regression. my points are 2,3 4,6 6,1 8,4 i am given the y=-1/2x +6 and y= -x + 8 where do the equations come from? I can do the scatter polt and I u

Algebra ->  College  -> Linear Algebra -> SOLUTION: I am working on linear regression. my points are 2,3 4,6 6,1 8,4 i am given the y=-1/2x +6 and y= -x + 8 where do the equations come from? I can do the scatter polt and I u      Log On


   

Question 772201: I am working on linear regression.
my points are 2,3 4,6 6,1 8,4
i am given the y=-1/2x +6 and y= -x + 8
where do the equations come from?
I can do the scatter polt and I understand about residuals.
if the equations are from the trend lines-- how are they derived.
Thanks you, Julie
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

I think you have mixed a couple of unrelated problems together here. The two equations that you gave have no discernable relationship to the set of points or to the actual trend line that would come from a proper regression analysis of the given data.

FYI, the trend line, which has an of a whopping 0.0154, is , so says my graphing program and so says Excel.

John

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My calculator said it, I believe it, that settles it
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Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
The other tutor obviously doesn't know linear algebra. He thought you
were taking stats.

The first part of your problem is just like this problem on this Youtube 
video:

http://www.youtube.com/watch?v=QkepM8Vv3kw

Find the regression line for your 4 points using that method.

Then take the two other equations with this regression equation and 
find the linear regression of the three equations just like this video:

http://www.youtube.com/watch?v=8mAZYv5wIcE

Edwin