Solve the Problem Draw a Scatter Diagram of the Data for One Period

Essay

Solve the problem.
-The following data represents the normal monthly precipitation for a certain city in Arkansas. $\begin{array}{l|c}\text { Month, x } & \begin{array}{c}\text { Normal Monthly } \\\text { Precipitation, inches }\end{array} \\\hline \text { January, 1 } & 3.91 \\\text { February, 2 } & 4.36 \\\text { March, 3 } & 5.31 \\\text { April, 4 } & 6.21 \\\text { May, 5 } & 7.02 \\\text { June, 6 } & 7.84 \\\text { July, 7 } & 8.19 \\\text { August, 8 } & 8.06 \\\text { September, 9 } & 7.41 \\\text { October, 10 } & 6.30 \\\text { November, 11 } & 5.21 \\\text { December, 12 } & 4.28\end{array}$
Draw a scatter diagram of the data for one period. Find the sinusoidal function of the form $y = A \sin ( \omega x - \varphi ) + B$ fits the data. Draw the sinusoidal function on the scatter diagram. Use a graphing utility to find the sinusoidal function of best fit. Draw the sinusoidal function of best fit on the scatter diagram.


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