What is the coefficient of correlation between sales and price?

AI Thread Summary
The discussion centers on determining the coefficient of correlation between sales and price, highlighting an inverse relationship and a coefficient of determination of 106%. Participants express confusion about how the variance of sales relates to the coefficient of determination and the sum of squares. Variance is noted to be the square of the coefficient of correlation, while adjusted coefficients may involve regression adjustments for outliers. Clarification on the definitions and relationships between these statistical terms is sought, indicating a need for deeper understanding of the concepts involved. The conversation emphasizes the complexity of calculating correlation in the context of given data.
adeel
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In a sample of 21 observations obtained it was found that sales and price have an inverse relationship and coefficient of determination is 106% as much as the adjusted coefficient of determination. It is also known that the variance of sales around mean is 640. What is the coefficient of correlation?

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Im not sure how all the information fits together. I know coefficient of determination is SSR/SST, but i don't have any of that information
 
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im not really sure what variance of sales around mean, means...help?
 
is sum of squares total the same as the variance around the mean?
 
adeel said:
is sum of squares total the same as the variance around the mean?

Variance is the coefficient of determination, which is the square of the coefficient of correlation. Adjusted, I think, means calculated from a linear regression with outliers eliminated. However, I may be totally wrong :redface:. In any case, http://encyclopedia.thefreedictionary.com/Coefficient+of+determination might help.
 
Another way coef of corr between X and Y is defined is Corr(X,Y) = Cov(X,Y)/(\sigma_X\sigma_Y) where "sigma" is the standard dev. of the subscripted variable. Maybe it is this formula that the problem is asking about?
 
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