Suppose a study is conducted using only Boeing 737s traveling 800Kms oncomparable routes during the same season of the year. Can the number ofpassengers predict the cost of flying such routes? It seems logical that morepassengers result in more weight and more baggage, which could, in turn, result inincreased fuel consumption and other costs. Suppose the data displayed in thetable below are the costs and associated number of passengers for twelve 800-kmscommercial airline flights using Boeing 737s during the same season of the year.We will use these data to develop a regression model to predict cost by number ofpassengers. A plot of the data collected is shown in Figure 3.Cost600550500450400350300566778Number of Passengers89910Figure 3: Scatter plot of number of passengers on the x-axis andCost on the y-axis. b) Shown in Figure 4 is output from a regression analysis on the data plotted inFigure 3. Use the output to perform a hypothesis test, at the 5% significancelevel, to determine if there is a relationship between the two variables. Includeall steps in your response including the hypotheses, p-value, decision, andconclusion.c) The output in Figure 4 shows a confidence interval for the slope parameter.Provide the lower and upper limits of the 95% confidence interval and providean interpretation of the interval.d) Using the output in Figure 4, determine the estimated least squaresregression equation that represents the relationship between Cost (y) andnumber of passengers (x)?e) Use the regression equation from (d) to estimate the Cost when number ofpassengers are 80 and comment on the usefulness of this predictionSUMMARY OUTPUTRegression StatisticsMultiple RR SquareAdjusted R SquareStandard ErrorObservations0.95130.90500.8977162.195215Coefficients Standard Error t Stat P-value Lower 95%5.501 0.000 972.06811.129 0.0001600.78340.43632.587291.0223.633Upper 95%2229.49848.285InterceptNumber of PassengersFigure 4: Output from regression analysis on number of passengers / Cost data

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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