Exam 13: Multiple Regression Analysis

In a multiple regression model,the partial regression coefficient of an independent variable represents the increase in the y variable when that independent variable is increased by one unit if the values of all other independent variables are held constant.

A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch),production plant (Kingsland,and Yorktown),and production shift (day,and evening). In this model,"batch size" is ______.

The model y = $\beta$ ₀ + $\beta$ ₁x₁ + $\beta$ ₂x₂ + $\beta$ ₃x₃ + $\varepsilon$ is a first-order regression model.

A multiple regression analysis produced the following output from Excel. The overall proportion of variation of y accounted by x₁ and x₂ is _______

In the model y = $\beta$ ₀ + $\beta$ ₁x₁ + $\beta$ ₂x₂ + $\beta$ ₃x₃ + $\varepsilon$ , $\varepsilon$ is a constant.

A multiple regression analysis produced the following tables. If x₁= 25 and x₂ = 85,then the predicted value of y is ____________.

A multiple regression analysis produced the following output from Excel. The coefficient of multiple determination is ____________.

The following ANOVA table is from a multiple regression analysis. The SSE value is __________.

Minitab and Excel output for a multiple regression model show the t tests for the regression coefficients but do not provide a t test for the regression constant.

A multiple regression analysis produced the following tables. These results indicate that ____________.

Suppose that the regression equation y = 16.99 + 0.32 x₁ + 0.41 x₂ + 5.31 x₃ predicts an adult's height (y)given the individual's mother's height (x₁),his or her father's height (x₂),and whether the individual is male (x₃ = 1)or female (x₃ = 0).All heights are measured in inches.Assume also that this equation is stable through time,the average adult female height is currently 63.8 inches and the average adult male height is 69.7 inches.Approximately what would be the average female height in two generations? You can assume that each individual has parents of average height.

A human resources analyst is developing a regression model to predict electricity production plant manager compensation as a function of production capacity of the plant,number of employees at the plant,and plant technology (coal,oil,and nuclear). The response variable in this model is ______.

The mean square error (MS_err)is calculated by dividing the sum of squares error (SS_err)by the number of observations in the data set (N).

A multiple regression analysis produced the following tables. Using $\alpha$ = 0.01 to test the null hypothesis H₀: $\beta$ ₁ = $\beta$ ₂ = 0,the critical F value is ____.

A human resources analyst is developing a regression model to predict electricity production plant manager compensation as a function of production capacity of the plant,number of employees at the plant,and plant technology (coal,oil,and nuclear).The "plant technology" variable in this model is ______.

A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighborhood (urban,suburban,and rural).The "neighborhood" variable in this model is ______.

The multiple regression formulas used to estimate the regression coefficients are designed to ________________.

A multiple regression analysis produced the following tables. The sample size for this analysis is ____________.

The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables. The MSE value is __________.

In a multiple regression model,the proportion of the variation of the dependent variable,y,accounted for the independent variables in the regression model is given by the coefficient of multiple correlation.