21. The following sample observations were randomly selected. X: 4 5 3 6 10 Y: 4 6 5 7 7 a. Determine the standard error of estimate. b. Suppose a large sample is selected (instead of just five). About 68 percent of the predictions would be between what two values? 1. The director of marketing at Reeves Wholesale Products is studying monthly sales. Three independent variables were selected as estimators of sales: regional population, per capita income, and regional unemployment rate. The regression equation was computed to be (in dollars): Y= 64,100 + .394X1 + 9.6X2 - 11,600X3 a. What is the full name of the equation? b. Interpret the number 64,100. c. What are the estimated monthly sales for a particular region with a population of 796,000, per capita income of $6,940, and an unemployment rate of 6.0 percent? 3. A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied, namely, age at the time of first marriage (X1, annual income (X2), number of children living (X3), value of all assets (X4), status of health in the form of an index (X5) and the average number of social activities per week-such as bowling and dancing (X6) Suppose the multiple regression equation is: Y= 16.24 + .017X1 + .0028X2 + 42X3 + .0012X4 + .19X5 + 26.8X6 a. What is the estimated index of satisfaction for a person who first married at 18, has an annual income of $26,500, has three children living, has assets of $156,000,has an index of health status of 141, and has 2.5 social activities a week on the average? b. Which would add more to satisfaction, an additional income of $10,000 a year or two more social activities a week? 5. The following table lists the annual amounts of glass cullet produced by Kimble Glass Works, Inc. Scrap Year Code (tons) 2002 1 2.0 2003 2 4.0 2004 3 3.0 2005 4 5.0 2006 5 6.0 Determine the least squares trend equation. Estimate the amount of scrap for the year 2008.