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The general purpose of multiple regression (the term was first used by Pearson, 1908) is to learn more about the relationship between several independent or predictor variables and a dependent or criterion variable.
Interpretation of Regression Coefficients. A regression coefficient in multiple regression is the slope of the linear relationship between the criterion variable and the part of a predictor variable that is independent of all other predictor variables.he values of b (b 1 and b 2) are sometimes called  regression coefficients  and sometimes called  regression weights .. These two terms are synonymous. The multiple correlation (R) is equal to the correlation between the predicted scores and the actual scores.