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The primary result of a regression analysis is a set of estimates of the regression coefficients α, β 1,..., β k. These estimates are made by finding values for the coefficients that make the average ...
Nonlinear regression and non-least-squares regression often introduce further complications. For more detailed discussions of the interpretation of regression statistics, see Darlington (1968), ...
Although the interpretation of β j seems to be identical to its interpretation in the simple linear regression model, the innocuous phrase “and others are held constant” turns out to have ...