7:40 WhatsApp Business statisti...) Paper A.docx .. V The value of r is always positive. (10) Regression analysis is used for prediction, while correlation analysis is used to measure the strength of the association between two numerical variables. III. Zagat's published restaurant rating for various locations in the United States. The file (Table 1 restaurant) contains the Zagat rating for food, decorate, costs per person for a sample of 30 restaurants located city and 30 restaurants located in suburb. (25 point) (City="1", Suburban="2") Table 1 restaurant LaFoxwald City 21 3 29 City 21 325 City 1522 City 3036 City 21 2 3 |City 2 41 City 182 City 2 44 City 3 44 City 2 44 City 3 47 City 19 2 48 City 21 1 |City 1 30 City 25 1 35 City 24 ST Suburbon 20 3 27 Suburban 18 2 52 Suburbil 20 Suur 10 3 36 Suburi 19 3 45 Suburban 24 2 Suburban 23 1 Sub21 1 45 Subro 2011 56 Suburban 24 1 65 Suburb 23 2 67 Sub 19 1 Suburbon 23 3 Suburan 22 2 55 2. At the 0.05 level the significance, is there evidence that the variances of cost difference between City and Suburban? b. At the 0.05 level the significance, is there evidence that the trean cost difference between City and Suburban? c. Construct a 95% confidence interval estimate of the difference in mean cost between City and Suburban? IV. According to Table 1 restaurant (25 point) a. At the 0.05 level the significance, is there evidence of a difference in the variances cost among Decorates? b. At the 0.05 level the significances, is there evidence of a difference in the mean cost among Decorates ? c. If appropriate, determine any two groups of models differs in cost? (If the variances are equal, use LSD, if the variances are not equal, use T2) V. According to Table 1 restaurant, develop a regression model to predict the cost per person, based on a variable that represents Food (30 point) State the multiple regression cquation. h. Determine the coefficient of determination, and explain its meaning in the problem. c. Is there a significance linear relationship between cost and Food at the 0.05 level the significance ? d. Compute the regression coefficients , interpret the meaning in this problem. c. Predict the cost for a restaurant with a food of 23. Construct a confidence interval level of 95%, the individual of cost