Solve the Problem $\mathrm { y } = \mathrm { A } \sin ( \omega \mathrm { x } - \phi ) + \mathrm { B }$

Essay

Solve the problem.
-The following data represents the normal monthly precipitation for a certain city.
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Draw a scatter diagram of the data for one period. Find the sinusoidal function of the form $\mathrm { y } = \mathrm { A } \sin ( \omega \mathrm { x } - \phi ) + \mathrm { B }$ that 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.