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4. The data on monthly rents, in dollars, for independent random samples of newly completed apartments in the four U.S. regions are presented in the following table. Northeast Midwest South West 1005 870 891 1025 898 748 630 1012 948 699 861 1090 1181 814 1036 926 1244 721 1269 606 (a) Complete the ANOVA table below. (4 marks) Source df F-statistic MS = - SS P-value df Region 400513 0.0023 Error 17704 Total (b) Test at the 5% significance level whether a difference exists in mean rent of newly completed apartments in the four U.S. regions. (6 marks) 5. A random sample of nine custom homes currently listed for sale provided the following information on size and price. Here, x denotes size, in hundreds of square feet, rounded to the nearest hundred, and y denotes price, In thousands of dollars, rounded to the nearest thousand. 26 27 33 29 29 34 30 40 22 540 555 575 577 606 661 738 804 496 The summaries of the data are given by [x = 270. [ x7 = 8316, [ y: = 5552, [ vi = 3504412, [ XM: = 169993 (a) Given the summaries of the data, find the least-squares regression equation. (5 marks) (b) Graph the regression equation and the data points. (4 marks) (c) Interpret the slope of the regression equation obtained in part (a) in the context of the study. (2 marks) (d) Calculate r, the correlation coefficient between y and x. Interpret the number. (4 marks) (e) Calculate the coefficient of determination ?. Interpret the number. (3 marks) (f) Predict the price of a custom home with a size of 2500 square feet. (2 marks)