It is likely that the "true" relationship is nonlinear. There isn't a priori knowledge 
about linearity. In the small range where we do have enough data, the relationship
looks linear. Outside the range, the data are very scarse and have high level of 
noises too.
This is why adding (0,0) to the data can potentially improve the fit a great deal. But 
at the
same time, I have never heard people doing it this way. 

Jonathan

-----Original Message-----
From: Murray Jorgensen [mailto:[EMAIL PROTECTED]
Sent: Wednesday, December 03, 2003 5:18 PM
To: Wiener, Matthew
Cc: [EMAIL PROTECTED]; [EMAIL PROTECTED]
Subject: Re: [R] add a point to regression line and cook's distance


Not a good idea, unless the regression function is *known* to be linear. 
More likely it is only approximately linear over small ranges.

Murray Jorgensen

Wiener, Matthew wrote:

> If you know that the line should pass through (0,0), would it make sense to
> do a regression without an intercept?  You can do that by putting "-1" in
> the formula, like:  lm(y ~ x - 1).
> 
> Hope this helps,
> 
> Matt
> 
> Matthew Wiener
> RY84-202
> Applied Computer Science & Mathematics Dept.
> Merck Research Labs
> 126 E. Lincoln Ave.
> Rahway, NJ 07065
> 732-594-5303 
> 
> 
> -----Original Message-----
> From: [EMAIL PROTECTED]
> [mailto:[EMAIL PROTECTED] On Behalf Of Spencer Graves
> Sent: Wednesday, December 03, 2003 5:51 PM
> To: [EMAIL PROTECTED]
> Cc: [EMAIL PROTECTED]
> Subject: Re: [R] add a point to regression line and cook's distance
> 
> 
>       What is the context?  What do the "outliers" represent?  If you 
> think carefully about the context, you may find the answer. 
> 
>       hope this helps.  spencer graves
> p.s.  I know statisticians who worked for HP before the split and who 
> still work for either HP or Agilent, I'm not certain which.  If you want 
> to contact me off-line, I can give you a couple of names if that might 
> help. 
> 
> [EMAIL PROTECTED] wrote:
> 
> 
>>Hi, 
>>
>>This is more a statistics question rather than R question. But I thought
> 
> people on this list may have some pointers.
> 
>>MY question is like the following:
>>I would like to have a robust regression line. The data I have are mostly
> 
> clustered around a small range. So
> 
>>the regression line tend to be influenced strongly by outlier points (with
> 
> large cook's distance). From the application
> 
>>'s background, I know that the line should pass (0,0), which is far away
> 
> from the data cloud. I would like to add this
> 
>>point to have a more robust line. The question is: does it make sense to do
> 
> this? what are the negative impacts if any?
> 
>>thanks,
>>jonathan
>>
>>______________________________________________
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>>https://www.stat.math.ethz.ch/mailman/listinfo/r-help
>> 
>>
> 
> 
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> 

-- 
Dr Murray Jorgensen      http://www.stats.waikato.ac.nz/Staff/maj.html
Department of Statistics, University of Waikato, Hamilton, New Zealand
Email: [EMAIL PROTECTED]                                Fax 7 838 4155
Phone  +64 7 838 4773 wk    +64 7 849 6486 home    Mobile 021 1395 862

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