Chapter 4.5, Problem 110PE

Repeat Exercise 109 for data of your choice. The data can involve the average monthly temperatures for the region where you live or any data whose scatter plot takes the form of a sinusoidal function.

109 The data show the average monthly temperatures for Washington, F.C.

x (Month)	Average Monthly Temperature, ${}^{\circ }\text{F}$
1 (January»	348
2 (February)	374
3 (March)	47 2
4 (April)	55 5
5 (May)	544
8 (June!	75.8
7 (July)	80.0
3 (August)	784
9 (September)	714
10 (October)	59 7
11 (November)	498
12 (December)	384

Source: U.S. Oceanic and Atmospheric Administration

a. Use your graphing utility to draw a scatter plot of the data from $x=1$ through $x=12$

b. Use the SINe REGression feature to find the sinusoidal function of the form $y=A\sin (Bx+C)+D$ that best its the data

c. Use your graphing utility to draw the sinusoidal function or best fit on the scatter plot.