Exam 14: Multiple Regression and Correlation Analysis

If a multiple regression analysis is based on ten independent variables collected from a sample of 125 observations,what will be the value of the denominator in the calculation of the multiple standard error of estimate?

The values of $\beta$ ₁, $\beta$ ₂ and $\beta$ ₃ in a multiple regression equation are called the sample regression coefficients.

In a regression analysis,three independent variables are used in the equation based on a sample of forty observations.What are the degrees of freedom associated with the F-statistic?

A correlation matrix can be used to assess homoscedasticity between independent variables.

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months),gender (0 = female,1 = male)and job type (0 = clerical,1 = technical).The following ANOVA summarizes the regression results: Based on the ANOVA and a 0.05 significance level,the global null hypothesis test of the multiple regression model

In multiple regression,a dummy variable is significantly related to the dependent variable when

Which statistic is used to test a hypothesis a regression equation?

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months),gender (0 = female,1 = male)and job type (0 = clerical,1 = technical).The following ANOVA summarizes the regression results: The results for the variable gender show that

Multiple R² measures the proportion of explained variation relative to total variation.

The coefficient of determination measures the proportion of

In multiple regression analysis,a residual is the difference between the value of an independent variable and its corresponding dependent variable value.

In an ANOVA table for a multiple regression analysis,the global test of significance is based on the

The multiple coefficient of determination, ,reports the proportion of the variation in Y that is not explained by the variation in the set of independent variables.

Twenty-one executives in a large corporation were randomly selected for a study to determine the effect of several factors on annual salary (expressed in $000's).The factors selected were age,seniority,years of college,number of company divisions they had been exposed to and the level of their responsibility.A regression analysis was performed using a popular spreadsheet program with the following regression output: What is the value of the denominator in the calculation of the multiple standard error of estimate? ___________

For a global test of a multiple regression equation,the F- statistic is the mean square error from the ANOVA table.

In multiple regression analysis,residual analysis is used to test the requirement that

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months),gender (0 = female,1 = male)and job type (0 = clerical,1 = technical).The following ANOVA summarizes the regression results: Based on the ANOVA,the multiple coefficient of determination is

A real estate agent developed a model to relate a house's selling price (Y)to the area of floor space (X)and the area of floor space squared .The multiple regression equation for this model is: where: = selling price (times $1000) X = square feet of floor space (times 100) What is the selling price of a house with 2000 square feet? ______

How are scatter diagrams used to evaluate the assumptions of linear regression?

A real estate agent developed a model to relate a house's selling price (Y)to the area of floor space (X)and the area of floor space squared .The multiple regression equation for this model is: where: = selling price (times $1000) X = square feet of floor space (times 100) What is the selling price of a house with 1500 square feet? ______