The scatter diagram is shown below. 98 90.4 82.8 Weight 75.2 67.6 60 158 165 4 172.0 1802 187.6 195 Height Correlation interpretation:
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- Is it possible that P(AB)=P(A)? Explain.Suppose the average monthly residential natural gas bill in a certain town is $67.95. How is the average monthly gas bill for a home in this town related to the square footage, number of rooms, and age of the home? The following tables shows the average monthly gas bill over the past year, square footage, number of rooms, and age for a sample of 20 homes. Average Monthly GasBill for Last Year Age SquareFootage Rooms $70.20 16 2,537 6 $81.33 2 3,457 8 $45.86 27 976 6 $59.21 12 1,713 7 $117.88 16 3,979 10 $55.78 2 1,328 7 $47.01 27 1,251 6 $52.89 4 827 5 $32.90 12 645 4 $67.04 29 2,849 5 $76.76 1 2,372 7 $60.40 26 900 6 $44.07 14 1,386 5 $28.68 20 1,299 4 $62.70 17 1,441 6 $45.37 13 542 4 $38.09 10 2,140 4 $45.31 22 908 6 $52.45 25 1,568 5 $94.11 27 1,140 10 (a) Develop an estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age. (Use x1 for age. Round your numerical values…A small dealership leased 21 Suburu Outbacks on 2-year leases. When the cars were returned at the end of the lease, the mileage was recorded (see below). 40,010 24,996 14,340 17,359 44,712 44,525 20,239 33,348 24,299 41,782 58,313 35,886 25,765 28,937 25,069 43,302 23,958 43,526 53,617 31,803 36,704 (a) Is the dealer's mean significantly greater than the national average of 29,393 miles for 2-year leases? Using the 10 percent level of significance, choose the appropriate hypothesis. H0: μ ≤ 29,393 miles vs. H1: μ > 29,393 miles, reject H0 if tcalc > 1.3250 H0: μ ≥ 29,393 miles vs. H1: μ > 29,393 miles, reject H0 if tcalc > 1.3250 H0: μ ≤ 29,393 miles vs. H1: μ < 29,393 miles, reject H0 if tcalc > 1.3250 H1: μ ≤ 29,393 miles vs. H0: μ > 29,393 miles, reject H0 if tcalc > 1.3250 b) Calculate the test statistic. (Round your answer to 2 decimal places.) Test statistic