The New Route 66? One of the mostfamous national highways from its beginnings inthe

Chapter 13, Problem 16

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The New Route 66? One of the mostfamous national highways from its beginnings inthe 1920s until its demise around 1970 was Route 66.On its way from Chicago to Los Angeles, one of thelast stops was San Bernardino, California. Now,a new transportation hubthe San Bernardino InternationalAirportis in the planning stages. Although noagreements with any air carriers have been signed,officials forecast 2 million passengers by 2030, asshown in the following table.4Year 2010 2015 2020 2025 2030Coded Year, x 12 3 4 5Number ofTravelers, y 500,000 750,000 1,000,000 1,500,000 2,000,000Linear and quadratic fitted plots for these data follow a. Based on the summary statistics in the line plots,which of the two models better fits the data?b. Write the theoretical equation for the quadraticmodel.c. Use the following printout to determine if thequadratic model contributes significant informationto the prediction of y.d. Use the following printout to determine if thequadratic term contributes significant information tothe prediction of y, in the presence of the linear term. Regression Analysis: y versus x, x-sqThe regression equation isy = 400000 + 53571 x + 53571 x-sqPredictor Coef SE Coef T PConstant 400000 90633 4.41 0.048x 53571 69068 0.78 0.519x-sq 53571 11294 4.74 0.042S = 42257.7 R-Sq = 99.8% R-Sq(adj) = 99.5%Analysis of VarianceSource DF SS MS F PRegression 2 1.44643E+12 7.23214E+11 405.00 0.002Residual Error 2 3571428571 1785714286Total 4 1.45000E+12