Exam 14: Multiple Regression and Correlation Analysis

In an ANOVA table for a multiple regression analysis,total variation is separated into

Homoscedasticity occurs when the variance of the residuals (Y - )is the same for all values of X.

A valid multiple regression analysis assumes or requires that

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: Which of the following has the most influence on salary: - 20 years of seniority,5 years of college or attaining 55 years of age? _______

If the coefficient of multiple determination is 0.81,what percent of variation is not explained?

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 hypothesis tests for the individual regression coefficients,

For a global test of a multiple regression equation,the F-statistic is based on the residual degrees of freedom.

To test the global hypothesis in multiple regression analysis,a t-statistic is used.

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years.Suppose our econometric model resulted in the following data. Which variable in the model is the most significant predictor of tire production? __________

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: Test the hypothesis that the regression coefficient for age is equal to 0 at the 0.05 significance level.___________

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years.Suppose our econometric model resulted in the following data. Which variable in the model is the least significant in predicting tire production? _________

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: Which one of the following is the dependent variable?

The following correlations were computed as part of a multiple regression analysis that used education,job,and age to predict income. Which is the dependent variable?

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: Test the hypothesis that the regression coefficient for education is equal to 0 at the 0.05 significance level.___________

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 difference in selling prices of a house with 1650 square feet and one with 1750 square feet? ______

When the variance of the differences between the actual and the predicted values of the dependent variable are approximately the same,the variables are said to exhibit _______________________________.

It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA)is a function of IQ scores ,hours spent studying each week ,and one's high school average .Suppose the regression equation is: .The multiple standard error is 6.313 and = 0.826. For which independent variable does a unit change have the least effect on GPA? ___________________

If a dummy variable for gender is included in a multiple regression analysis,"male" would be coded as 1 and "female" would be coded as 2.

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years.Suppose our econometric model resulted in the following data. How much does tire production increase for every thousand cars produced two years ago? _____

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 difference in selling prices of a house with 1700 square feet and one with 1800 square feet? ______