he average monthly temperature (F) in Chicago, Illinois is shown in the table Month January February...

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he average monthly temperature (°F) in Chicago, Illinois is shown in the table Month January February March April May June July August September October November December OF 25 28 36 48 61 72 74 75 66 55 39 28 a) Plot the average monthly temperature over 2 year period by letting x = 1 correspond to January of the first year. b) Determine a model function of y= A sin (Bx + C) + D Where A, B, C and D are constants. c) Explain the significance of each constant. d) Graph the function (y) with the data using Excel. How does well does y model the data? Use the sine regression to find the equation of a sine curve that fit these data. e) f) Determine the maximum and minimum average monthly temperatures and the months when they occur. g) Write a short description of some situation that affects our society, country, and/or world that can be represented using a period function and include the graph of a periodic graph to support your description. he average monthly temperature (°F) in Chicago, Illinois is shown in the table Month January February March April May June July August September October November December OF 25 28 36 48 61 72 74 75 66 55 39 28 a) Plot the average monthly temperature over 2 year period by letting x = 1 correspond to January of the first year. b) Determine a model function of y= A sin (Bx + C) + D Where A, B, C and D are constants. c) Explain the significance of each constant. d) Graph the function (y) with the data using Excel. How does well does y model the data? Use the sine regression to find the equation of a sine curve that fit these data. e) f) Determine the maximum and minimum average monthly temperatures and the months when they occur. g) Write a short description of some situation that affects our society, country, and/or world that can be represented using a period function and include the graph of a periodic graph to support your description.