r-Squared Question
I am trying to undertand r-squared (the coefficient of determination)
of regression lines. If r, which is squared to obtain r-squared, is
the correlation between the predicted Y and the observed Y, then
doesn't that mean that any regression line whose predicted Y is a
perfect linear function of the observed Y has an r (and thus r-squared)
of 1?
Thanks,
Will
Keywords: r2 r^2 r**2 r-square r-squared rsquare rsquared
.
Relevant Pages
- Re: Formula for Coefficient of Determination (Quadratic Regression)
... > For a linear regression it is simply given by R-square. ... Most statisticians consider that a linear regression because ... about using the term "coefficient of determination"? ... (sci.stat.edu) - Re: interpreting sign of t-value
... regression coefficient is equal to the hypothesized value. ... A negative t-value indicates the regression coefficient is LESS THAN the hypothesized value. ... Don't use t-test values to tell you about correlation. ... (sci.stat.math) - Re: Introducing a 3rd variable makes the correlation coefficient non-significant. Whats happenin
... This would be SIMPLE correlation coefficient between A and B. ... one independent variable -- that the regression coefficients are NO ... of http://groups.google.com and search for "Reef Fish" as author, ... (sci.stat.consult) - Re: R-squared in regression
... I don't also think that the regression-correlation distinction ... r as a sqrtin regression is misunderstood as the correlation ... correlation coefficient, which we're talking about here, is used for ... (sci.stat.consult) - Re: DETERMINATION MEASURE ?
... determination called the DETERMINATION MEASURE ". ... I came across this in a journal where a regression plot with a ... Equation A calculated by " Optimizing the equation by using ... citations of any of them. ... (sci.stat.math) |
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