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LINEST & How Nonlinear is it?
Hi everyone,
You have a set of data in one row or one column. Next, you want to do nonlinear regression analysis for forecasting purposes and you use LINEST. The question is: Should someone keeps dancing back-and-forth inbetween different nonlinear polynomials without knowing which one is more accurate? I mean how to do you measure the inaccuracy level? Any advice or feedback on this please? Thanks, Jo |
LINEST & How Nonlinear is it?
What is the source of the data? Is accuracy really an issue here?
Be aware that if you have n data points (say 4) then you will always get a exact fit with an n-1 (third) order polynomial The quantity to check is R2 - look in Help to see where LINEST reports this. R2 value of 1 indicates a 'perfect' fit; Now I await Jerry Lewis's comment <gr best wishes -- Bernard V Liengme Microsoft Excel MVP www.stfx.ca/people/bliengme remove caps from email "Jo" wrote in message ups.com... Hi everyone, You have a set of data in one row or one column. Next, you want to do nonlinear regression analysis for forecasting purposes and you use LINEST. The question is: Should someone keeps dancing back-and-forth inbetween different nonlinear polynomials without knowing which one is more accurate? I mean how to do you measure the inaccuracy level? Any advice or feedback on this please? Thanks, Jo |
LINEST & How Nonlinear is it?
On Aug 9, 11:40 am, "Bernard Liengme"
wrote: What is the source of the data? Is accuracy really an issue here? Be aware that if you have n data points (say 4) then you will always get a exact fit with an n-1 (third) order polynomial The quantity to check is R2 - look in Help to see where LINEST reports this. R2 value of 1 indicates a 'perfect' fit; Now I await Jerry Lewis's comment <gr best wishes -- Bernard V Liengme Microsoft Excel MVPwww.stfx.ca/people/bliengme remove caps from email "Jo" wrote in message ups.com... Hi everyone, You have a set of data in one row or one column. Next, you want to do nonlinear regression analysis for forecasting purposes and you use LINEST. The question is: Should someone keeps dancing back-and-forth inbetween different nonlinear polynomials without knowing which one is more accurate? I mean how to do you measure the inaccuracy level? Any advice or feedback on this please? Thanks, Jo- Hide quoted text - - Show quoted text - So, if I have 10 data points, I should consider 9th polynomial? How r2 is calculated? I read MS help but it is not that clear on it! |
LINEST & How Nonlinear is it?
If you have 10 data points a ninth-order polynomial will give R2=1
But that does not tell you very much - it is just a mathematical thing; you need to consider the meaning of you data. Generally, unless you KNOW beforehand that the data should fit a certain polynomial there is not much to gain by just getting a fit to a high-order equation! How is R2 computed? You should Google or read a stats book best wishes -- Bernard V Liengme Microsoft Excel MVP www.stfx.ca/people/bliengme remove caps from email "Jo" wrote in message oups.com... On Aug 9, 11:40 am, "Bernard Liengme" wrote: What is the source of the data? Is accuracy really an issue here? Be aware that if you have n data points (say 4) then you will always get a exact fit with an n-1 (third) order polynomial The quantity to check is R2 - look in Help to see where LINEST reports this. R2 value of 1 indicates a 'perfect' fit; Now I await Jerry Lewis's comment <gr best wishes -- Bernard V Liengme Microsoft Excel MVPwww.stfx.ca/people/bliengme remove caps from email "Jo" wrote in message ups.com... Hi everyone, You have a set of data in one row or one column. Next, you want to do nonlinear regression analysis for forecasting purposes and you use LINEST. The question is: Should someone keeps dancing back-and-forth inbetween different nonlinear polynomials without knowing which one is more accurate? I mean how to do you measure the inaccuracy level? Any advice or feedback on this please? Thanks, Jo- Hide quoted text - - Show quoted text - So, if I have 10 data points, I should consider 9th polynomial? How r2 is calculated? I read MS help but it is not that clear on it! |
LINEST & How Nonlinear is it?
While R^2 would be 1, that fit will ususually be totally useless for
forecasting. Often a more useful measure is "adjusted R^2" http://en.wikipedia.org/wiki/Coeffic...on#Adjusted_R2 which includes a penalty for increasing model complexity without an adequate corresponding increase in explanatory value. Jerry "Jo" wrote: So, if I have 10 data points, I should consider 9th polynomial? How r2 is calculated? I read MS help but it is not that clear on it! |
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