EC255 Chapter Notes - Chapter 13: Analysis Of Variance, Standard Deviation, Null Hypothesis
Document Summary
Partial regression coefficient: represents increase that will occur in the value of y from a one-unit increase. Full (vs. partial) regression coefficient of an independent variable is a coefficient obtained from the bivariate model (simple regression) in which independent variable is the sole predictor of y. Partial regression coefficients occur b/c more than 1 predictor is included in model. Partial regression coefficients are analogous to , the slope of the simple regression model. Partial regression coefficients and the regression constant of a multiple regression model are population values and are unknown estimated using sample information. Multiple regression model with two independent variables (first order) Constant and coefficients are estimated from sample information: Simple regression models yield a line that"s fit through data points in the xy plane. Response surface: what the resulting model produces in a multiple regression analysis. Response plane is fit in a 3d space.