The average monthly temperature (°F) in Chicago, Illinois is shown in the table
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25
Month
January
February
March
April
May
June
July
August
September
October
November
December
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?
e) Use the sine regression to find the equation of a sine curve that fit these data.
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.
Fig: 1