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coefficient of determination

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Q: How is coefficient of determination and coefficient of correlation is related?
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What is coefficient of determination?

The coefficient of determination R2 is the square of the correlation coefficient. It is used generally to determine the goodness of fit of a model. See: http://en.wikipedia.org/wiki/Coefficient_of_determination for more details.


Can A regression equation have a negative coefficient of correlation and a negative coefficient of determination?

It's not quite possible for the coefficient of determination to be negative at all, because of its definition as r2 (coefficient of correlation squared). The coefficient of determination is useful since tells us how accurate the regression line's predictions will be but it cannot tell us which direction the line is going since it will always be a positive quantity even if the correlation is negative. On the other hand, r (the coefficient of correlation) gives the strength and direction of the correlation but says nothing about the regression line equation. Both r and r2 are found similarly but they are typically used to tell us different things.


How do you determine coefficient of determination in excel?

= CORREL(x values,y values) ***clarification**** CORREL gives you the correlation coefficient (r), which is different than the coefficient of determination (R2) outside of simple linear regression situations.


Is 0.5 the strongest correlation coefficient?

No. The strongest correlation coefficient is +1 (positive correlation) and -1 (negative correlation).


What are the properties of correlation coefficient?

The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .

Related questions

Correlation coefficient value of 0.00 indicates two variables are not related?

If the correlation coefficient is 0, then the two tings vary separately. They are not related.


Can A regression equation have a negative coefficient of correlation and a negative coefficient of determination?

It's not quite possible for the coefficient of determination to be negative at all, because of its definition as r2 (coefficient of correlation squared). The coefficient of determination is useful since tells us how accurate the regression line's predictions will be but it cannot tell us which direction the line is going since it will always be a positive quantity even if the correlation is negative. On the other hand, r (the coefficient of correlation) gives the strength and direction of the correlation but says nothing about the regression line equation. Both r and r2 are found similarly but they are typically used to tell us different things.


How do you determine coefficient of determination in excel?

= CORREL(x values,y values) ***clarification**** CORREL gives you the correlation coefficient (r), which is different than the coefficient of determination (R2) outside of simple linear regression situations.


Is -0.0001 a correlation coefficient?

Yes it can be a correlation coefficient.


Is 1.5 a correlation coefficient?

No, it cannot be a correlation coefficient.


A correlation coefficient is a measure of the?

A correlation coefficient is a numerical measure of the


Is 0.5 the strongest correlation coefficient?

No. The strongest correlation coefficient is +1 (positive correlation) and -1 (negative correlation).


What are the properties of correlation coefficient?

The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .


What is a Correlation coefficient of 0.00457?

Evidence that there is no correlation.


What is the feasible range for r the correlation coefficient?

the correlation coefficient range is -1 to +1


What is the correlation coefficient of -2?

A serious error. The maximum magnitude for a correlation coefficient is 1.The Correlation coefficient is lies between -1 to 1 if it is 0 mean there is no correlation between them. Here they are given less than -1 value so it is not a value of correlation coefficient.


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