In multiple regression analysis, the word linear in the term "general linear model" refers to the fact that

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The term "linear" in the general linear model refers to the fact that the model is linear in the parameters β₀, β₁, . . . βp, meaning that each of these parameters has an exponent of 1. This does not mean that the model itself has to be a straight line, as the predictors can be transformed (e.g. squared or logged) to allow for a nonlinear relationship between the predictors and response variable.

In Multiple Regression Analysis, the Word Linear in the Term