MATH 534 Week 7 Homework Problems

MATH 534 Week 7 Homework Problems

1. Question: A real estate analyst has … a multiple regression line, y = 60+ 0.068 x1   – 2.5 x2, to predict y = the market price of a home (in $1,000s), using independent variables, x1 = the total number of square feet of living space, and x2 = the age of the house in years. The regression coefficient of x2 suggests this:  _____.
2. Question: The following is a partial computer output of a multiple regression analysis of a data set containing 20 sets of observations on the dependent….. The regression equation is SALEPRIC = 1470 + 0.8145 LANDVAL + 0.8204 IMPROVAL + 13.529 AREA    ….. What is the prediction value when LANDVAL = 25, IMPROVAL = 36 and AREA = 56?
3. Question: A cost accountant is developing a regression model to predict the total cost of producing a batch of … circuit boards as a linear function of batch size (the number of boards … in one lot or batch), production plant (Kingsland, and Yorktown), and production shift (day, and evening). The response variable in this model is_____.
4. Question: A cost accountant is developing a regression model to predict the total cost of producing a batch of … circuit boards as a linear function of batch size (the number of boards … in one lot or batch), production plant (Kingsland, and Yorktown), and production shift (day, and evening). In this model, “batch size” is .
5. Question: To predict the value of the dependent variable of our interest (y) for the given, specific values of the independent variables (the x-variables) using a multiple regression model, we substitute the values of the x-variables into the multiple regression equation and solve for the value of y. The resulting value of y is .
6. Question: Suppose that the regression equation y = 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 … 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. 67.25 inches
7. Question: 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            .
8. Question: The following is a partial computer output of a multiple regression analysis of a data set containing 20 sets of observations on the dependent variable….. The regression equation is SALEPRIC = 1470 + 0.814 LANDVAL + 0.820 IMPROVAL + 13.5 AREA
9. Question: In testing the overall significance of a multiple regression model, the null hypothesis that each one the β-coefficients of the x-variables in the model is equal to zero, is … against the alternative hypothesis that .
10. Question: In regression analysis, outliers may … by examining the                 .