STATISTICAL TECHNIQUES AND TOOLS
MULTIPLE REGRESSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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is not a general linear model
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contains a higher-order term that makes one independent variable depend on another independent variable
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contains a higher-order term that makes the relationship of one IV to the DV depend on the value of another IV
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contains a higher order term that makes the relationship of an IV to the DV depend on the value of the IV itself
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Detailed explanation-1: -In polynomial regression, the relationship between the dependent variable and the independent variable is modeled as an nth-degree polynomial function. When the polynomial is of degree 2, it is called a quadratic model; when the degree of a polynomial is 3, it is called a cubic model, and so on.
Detailed explanation-2: -Polynomial regression, abbreviated E(y |x), describes the fitting of a nonlinear relationship between the value of x and the conditional mean of y. It usually corresponded to the least-squares method. According to the Gauss Markov Theorem, the least square approach minimizes the variance of the coefficients.
Detailed explanation-3: -Polynomial provides the best approximation of the relationship between the dependent and independent variable. A Broad range of function can be fit under it. Polynomial basically fits a wide range of curvature.