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The Editors of a National Automotive Magazine Recently Studied 30

question 46

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The editors of a national automotive magazine recently studied 30 different automobiles sold in the United States with the intent of seeing whether they could develop a multiple regression model to explain the variation in highway miles per gallon.A number of different independent variables were collected.Included in these were two variables described as follows: The editors of a national automotive magazine recently studied 30 different automobiles sold in the United States with the intent of seeing whether they could develop a multiple regression model to explain the variation in highway miles per gallon.A number of different independent variables were collected.Included in these were two variables described as follows:   If these two variables are to be included in a regression model,how many additional variables will be needed? A) 6 B) 2 C) 8 D) 4 If these two variables are to be included in a regression model,how many additional variables will be needed?


Definitions:

Independent Variables

Variables in statistical or mathematical modeling that can be manipulated or chosen by the researcher to investigate their effect on dependent variables.

Regression Coefficient

A value that represents the degree of change in the dependent variable for a one-unit change in an independent variable within a regression model.

Dependent Variable

In statistical modeling and experimental design, the variable being tested and measured, which is expected to change in response to changes in independent variables.

R Square

A statistical measure that represents the proportion of the variance for a dependent variable that's explained by one or more independent variables in a regression model.

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