Exam 10: Multiple Regression

For each of the following types of variables, indicate if it can be used in regression as a dependent variable and if it can be used as an independent variable by stating yes or no.  

For each of the following, indicate if it gives you information about the strength of a relationship and/or the direction of a relationship:  

Describe the process of creating dummy variables so that the information contained in the nominal independent variable CAR (attributes: Ford, General Motors, Chrysler, other) can be included in a regression equation.

Multicollinearity is when there _____ among the independent variables in a regression equation. For the person wanting to do a regression analysis, multicollinearity is a _____ thing.

Which of the following statements is correct?

If multicollinearity is present, one solution is to

Answer the questions that follow this SPSS output:   The dependent variable is CHILDS (the number of children a person has). The independent variables are CATHOLIC (whether the person is Catholic or not), EDUC (the number of years of schooling completed by the person), and YRSMAR (the number of years the person has been married). A) What is the value of the multiple correlation (that is, the correlation between the dependent variable and the set of independent variables)? B) What proportion of the variability in number of children is explained by the three independent variables? C) Of the three independent variables, which has the weakest net effect on the dependent variable? D) Write out the regression equation. (You may use Y and Xs in the regression equation or, in place of the Y and Xs, you may use variable names. Don't forget the subscripts on the Xs if you use Y and Xs.)

The regression coefficients for two independent variables that are very strongly related to one another may not be very stable. This regression problem is referred to as

Dummy variables are a way to include into a regression analysis

Which of the following statements is correct?

If you want to see which individual factor (age at marriage, educational level, or income) has the strongest association with marital happiness and you are not interested in controlling for other factors, what is an appropriate statistic to use?

In order to use a nominal variable that has four attributes as an independent variable in multiple regression, you should

Answer the questions that follow this SPSS output:   If the four variables in the correlation matrix were all used as independent variables in a single multiple regression analysis, would there be a multicollinearity problem? A) State yes or no. __________ B) Justify your answer by referring to one or more statistics in the matrix.

What information does a standardized coefficient provide?

If the variables in this matrix were all used as independent variables in a regression equation, would there be a multicollinearity problem?  

In multiple regression, the slopes are

How can a nominal variable with three attributes be used as a regression independent variable?

In multiple regression, the betas are

A researcher regresses a quality-of-life INDEX on INCOME and EDUCATION. The Y-intercept is 10, the slope for INCOME is +2, and the slope for EDUCATION is −1. What's the correct regression equation?

When would you use unstandardized regression coefficients and when would you use standardized regression coefficients?