Question: The following data represent the average monthly temperatures for Baltimore, Maryland. (a) Draw a scatter diagram of the data for one period. (b) Find a
The following data represent the average monthly temperatures for Baltimore, Maryland.
(a) Draw a scatter diagram of the data for one period.
(b) Find a sinusoidal function of the form y = A sin(ωx – ϕ) + B that models the data.
(c) Draw the sinusoidal function found in part (b) on the scatter diagram.
(d) Use a graphing utility to find the sinusoidal function of best fit.
(e) Graph the sinusoidal function of best fit on a scatter diagram of the data.
Month, x …………………………….. Average Monthly Temperature, ˚F
January, 1 …………………………………………………………….. 31.8
February, 2 ……………………………………………………………. 34.8
March, 3 ………………………………………………………………. 44.1
April, 4 ………………………………………………………………… 53.4
May, 5 ………………………………………………………………….. 63.4
June, 6 ………………………………………………………………….. 72.5
July, 7 ………………………………………………………………….. 77.0
August, 8 ………………………………………………………………. 75.6
September, 9 …………………………………………………………… 68.5
October, 10 …………………………………………………………….. 56.6
November, 11 …………………………………………………………… 46.8
December, 12 …………………………………………………………… 36.7
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