(a) After introducing the problem, the authors posit Equation (1) as their general model for monthly average daily bicycle counts. Considering the graphical data for the city of Vancouver, BC, at Burrard Bridge, with maximum average value of 5000 bicylces per day and minimum average value of 1200 bycicles, give a precise model for number of bicycles at that spot. For this you will need to calculate the following parameters (where you may round your calculations to 2 decimal places). (i) The amplitude. (ii) The mean. (iii) The period. (iv) The horizontal shift, where you should use the fact that the maximum num ber of bicycles occurs in July. To investigate how the precise model for monthly average daily bicycle counts in Vancouver, BC, at Burrard Bridge is tracking, answer the following questions. (1) Give the average number of bicycles per day your model found in part (a) predicts for the month of May. (ii) Considering the graphical data, nd the percentage dierence between the data and the value given by your model for the month of May. MADBt = A . sin(w . (t - 4)) + AADB where MADBt Monthly Average Daily Bicycle count (MADB), in bicycles/day AADB Sinusoid centerline, or Average Annual Daily Bicycle count (AADB), in bicycles/day Time value, in months A Amplitude of MADB sinusoid, or the seasonal change in average bicycles/day w =2nf Wavelength of MADB sinusoid, in months f = 12 Frequency of MADB sinusoid Phase of sinusoid, 2 = horizontal shift in months