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Q: Science Odyssey ( Answered 3 out of 5 stars,   1 Comment )
Question  
Subject: Science Odyssey
Category: Science
Asked by: gazo-ga
List Price: $15.00
Posted: 14 Sep 2004 12:48 PDT
Expires: 14 Oct 2004 12:48 PDT
Question ID: 401132
If you had two sets of data, one with an R squared value of .90 and
one with an R squared value of .75, which would best fit the data and
why?
Answer  
Subject: Re: Science Odyssey
Answered By: leapinglizard-ga on 14 Sep 2004 17:26 PDT
Rated:3 out of 5 stars
 
Dear gazo,

Given a line drawn through a two-dimensional Cartesian data plot, the
R-squared value is a measure of the aggregate difference between the
line and the data points. This value is calculated in such a way that
it falls between 0 and 1. To quote the following website, "R squared
is the relative predictive power of a model. R squared is a
descriptive measure between 0 and 1. The closer it is to one, the
better your model is."

Children's Mercy: Stats: Ask: r-squared
http://www.childrens-mercy.org/stats/ask/rsquared.asp

In the case of two sets of data, one resulting in an R-squared value
of .75 and the other in an R-squared value of .90, the latter is
deemed more accurate and a better fit to the reality that has been
experimentally measured. This is because .90 is closer than .75 to the
perfect value of 1, meaning that the points in this data set fall
closer to the line of best fit. The more tightly the data points are
clustered near the line, the less error there must have been in the
measurements, and so the better the experiment.

For more information on calculating R-squared and what it says about
the accuracy of your model, consult the following site.

University of Leicester: On-line Statistics: Linear Regression
http://www.le.ac.uk/biology/gat/virtualfc/Stats/regression/regr1.html

If you feel that my answer is incomplete or inaccurate in any way, please
post a clarification request so that I have a chance to meet your needs
before you assign a rating.

Regards,

leapinglizard


Search Queries:

r squared best fit
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r squared regression
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gazo-ga rated this answer:3 out of 5 stars

Comments  
Subject: Re: Science Odyssey
From: wilsong43-ga on 14 Sep 2004 13:21 PDT
 
The 'best fit' would be .90 - R squared is a measure of the amount of
variation that is explained .90 would leave 10% 'unexplained', .75
would leave 25% 'unexplained'. The higher the R squared value the more
precise the trial.

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