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 California. $\begin{array}{l|c}\text { Month, x } & \begin{array}{c}\text { Normal Monthly } \\\text { Precipitation, inches }\end{array} \\\hline \text { January, 1 } & 6.06 \\\text { February, 2 } & 4.45 \\\text { March, 3 } & 4.38 \\\text { April, } 4 & 2.08 \\\text { May, 5 } & 1.27 \\\text { June, } 6 & 0.56 \\\text { July, } 7 & 0.17 \\\text { August, 8 } & 0.46 \\\text { September, } 9 & 0.91 \\\text { October, 10 } & 2.24 \\\text { November, 11 } & 5.21 \\\text { December, } 12 & 5.51\end{array}$
Draw a scatter diagram of the data for one period. Find a sinusoidal function of the form $y = A \sin ( \omega x - \varphi ) + B$ t] 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.