Modeling an Equation and Sketching a Sinusoidal Graph to Fit Criteria

The average monthly temperatures for a small town in Oregon are given in. Find a sinusoidal function of the form $y=Asin\left(Bt-C\right)+D$ that fits the data (round to the nearest tenth) and sketch the graph.

$$\begin{array}{cc}\text{Month}& {\text{Temperature, }}^{\text{o}}\text{F}\\ \text{January}& \text{42.5}\\ \text{February}& \text{44.5}\\ \text{March}& \text{48.5}\\ \text{April}& \text{52.5}\\ \text{May}& \text{58}\\ \text{June}& \text{63}\\ \text{July}& \text{68.5}\\ \text{August}& \text{69}\\ \text{September}& \text{64.5}\\ \text{October}& \text{55.5}\\ \text{November}& \text{46.5}\\ \text{December}& \text{43.5}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Example 4