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Applied Multivariate Modeling

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U04a1: Hierarchical Regression and Correlation
Applied Multivariate Modeling

Hierarchical Regression and Correlation The objective of this assignment is to understand and evaluate hierarchical regression analysis by incorporating a forced entry and stepwise regression method into factors that may have an effect on the salary of supermodels. Field (2009) suggests the use of forced entry method when the researcher chooses to use a variable as the primary predictor, which in this age is being used to predict salary. The stepwise regression method can be used by a researcher to allocate variables into the hierarchical model in stages, and thereby, analyzing how the best IV correlates with the dependent variable. Genell, Nemes, Steineck, and Dickman (2010) contends that the stepwise regression method is best used to validate each step for an effective “model building process” (p. 2). The stepwise regression method for this study included the use of gender, years, and beauty as the additional independent variables (IV). For the purpose of this assignment, a dummy variable (gender) is added with the first 100 respondents are coded as male and the remaining 131 are coded as female. The assumed level of measurement for gender is scale. Through prior literature research, age is considered to be a strong predictor for a supermodel’s salary. Therefore, age is entered in the first step followed by years of modeling, gender, and attractiveness using the stepwise entry method.
Hierarchical Regression Analysis
Based on the coefficient Table 4 below, the best fitting model is:
Model 1: Y Salary = βo + β1 X Age
Y Salary = -36.182 + 2.63X Age
Model 2: Y Salary = β₀ + β₁ X Age + β₂ X Year Y Salary = -68.409 + 5.642X Age -4.84 X Year
Table 1.
Coefficients
Note *p<.05, **p<.01, ***p<.001 Model 2 confirms

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