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A Step-by-Step Approach to Using SAS® for Univariate & Multivariate Statistics, Second Edition by Edward J. Stepanksi Ph.d., Larry Hatcher, Norm O'Rourke

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The Results of a Multiple Regression Analysis

The Multiple Correlation Coefficient

The multiple correlation coefficient, symbolized as R, represents the strength of the relationship between a criterion variable and an optimally weighted linear combination of predictor variables. Its values can range from 0 through 1.00; it is interpreted in the same way a Pearson product-moment correlation coefficient (r) is interpreted (except that R can only assume positive values). Values approaching zero indicate little relationship between the criterion and the predictors whereas values near 1.00 indicate strong relationships. An R value of 1.00 indicates perfect or complete prediction of criteria values.

Conceptually, R should be viewed as the product-moment ...

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