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Correlation and rank corelation

1. What information is provided by the sign (= or -) of the Pearson correlation?
2. What information is provided by numerical value of the Pearson correlation?

20. What is the major distinction between the Pearson and Spearman correlations?

10a. A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n=15 college students. The students scores have a mean of m=580 with SS=22,400, and the GPAs have a mean of 3.10 with SS=1.26, and SP=84.
a. Find regression equation for predicting GPA from SAT scores.

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1. What information is provided by the sign (= or -) of the Pearson correlation?

Correlation is a bivariate measure of association (strength) of the relationship between two variables. It varies from 0 (random relationship) to 1 (perfect linear relationship) or -1 (perfect negative linear relationship).

The sign of correlation coefficient gives the nature of relationship. A positive sign indicates that the variables move same direction. Thus if a variable increase (or ...

Solution Summary

The solution gives the major distinction between the Pearson and Spearman correlations with examples. The solution also interpret the meaning of +/- sign and numerical value of correlation coefficient.

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