Regression

Regression is a procedure for predicting the value of one metric (continuous) variable based on the value of another.

A regression equation involves a predictor variable (indepdent variable) and a criterion variable (dependent variable).

A regression line can be drawn which minimizes deviation (this is the least squares criterion).

This line has a slope ("b") and a point where it cross the y axis (the y intercept "a").

Regression equation: Y = bX + a (+ error)

Y = predicted score on criterion variable

X = score on predictor variable

 

Multiple regression

Multiple regression uses multiple independent (predictor) variables to predict one dependent (criterion) variable

It yields a multiple correlation coefficient (multiple R)

An F value can be calculated:

F = SS regression (df)/SS average (df)