14.9 The CTO Corporation has a large number of chain restaurants throughout the United States. The research department at the company wanted to find if the sales of restaurants depend on the size of the population within a certain area surrounding the restaurants and the mean income of households in those areas. The company collected information on these variables for 11 restaurants. The following table gives information on the weekly sales (in thousands of dollars) of these restaurants, the population (in thou- sands) within five miles of the restaurants, and the mean annual income (in thousands of dollars) of the households for those areas. Sales 19 29 17 0 21. .14 : 30 33 : 22 .18- 27 24 Population 21 79\\ 15 3 32 18 47 69. 29 43 : 75 39 53 Income 58 69 49 52 67 76 81 46 39 64 28 - Using MINITAB, find the regression of sales on population and income. Using the solution obtained, answer the following questions." - a. Write the estimated regression equation. b. Explain the meaning of the estimates of the constant term and the regression coefficients of pop- ulation and income. c. What are the values of the standard deviation of errors, the coefficient of multiple determination, and the adjusted coefficient of multiple determination? d. What are the predicted sales for a restaurant with 50 thousand people living within a five-mile area surrounding it and $55 thousand mean annual income of households in that area. ". What is the point estimate of the expected (mean) sales for all restaurants with 45 thousand people living within a five-mile area surrounding them and $46 thousand mean annual income of house- holds living in those areas? . Determine a 95% confidence interval for the coefficient of income. . 4. Using the 1% significance level, test whether or not the coefficient of population is different from . zem