## Related questions with answers

The average monthly temperatures for the city of Seattle, Washington, are given below.

$\begin{matrix} \text{Jan} & \text{Feb} & \text{Mar} & \text{Apr} & \text{May} & \text{Jun} & \text{Jul} & \text{Aug} & \text{Sep} & \text{Oct} & \text{Nov} & \text{Dec}\\ \ {41^{\circ}} & \ {44^{\circ}} & \ {47^{\circ}} & \ {50^{\circ}} & \ {56^{\circ}} & \ {61^{\circ}} & \ {65^{\circ}} & \ {66^{\circ}} & \ {61^{\circ}} & \ {54^{\circ}} & \ {46^{\circ}} & \ {42^{\circ}}\\ \end{matrix}$

According to your model, what is the average monthly temperature in February? How does this compare to the actual average?

Solution

VerifiedThe goal of this task is to determine the average temperature in February, according to model $y=12.5\sin\dfrac{1}{6}\pi t+53.5$ and compare it to the actual average temperature.

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