Average Monthly Temperature, "F Month, x January, 1 34.6 February, 2 37.5 March, 3 47.2 April, 4 56.5 May, 5 66.4 June, 6 75.6 July, 7 80.0 August, 8 78.5 September, 9 71.3 Otober, 10 59.7 November, 11 49.8 December, 12 39.4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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The following data represent the average monthly temperatures for Washington,D.C.

(a) Draw a scatter diagram of the data for one period.

(b) Find a sinusoidal function of the form y=Asin(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.

Average Monthly
Temperature, "F
Month, x
January, 1
34.6
February, 2
37.5
March, 3
47.2
April, 4
56.5
May, 5
66.4
June, 6
75.6
July, 7
80.0
August, 8
78.5
September, 9
71.3
Otober, 10
59.7
November, 11
49.8
December, 12
39.4
Transcribed Image Text:Average Monthly Temperature, "F Month, x January, 1 34.6 February, 2 37.5 March, 3 47.2 April, 4 56.5 May, 5 66.4 June, 6 75.6 July, 7 80.0 August, 8 78.5 September, 9 71.3 Otober, 10 59.7 November, 11 49.8 December, 12 39.4
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