Answer
Using a calculator, we can obtain the following sine curve:
$T = 19.708⋅sin(0.5236M−2.1722)+72.8333$
$T$ is the temperature
$M$ is the month
Work Step by Step
We can input the data into a calculator with a sine regression function. This function outputs the equation of a sine curve which approximates the data in the table.
Using a calculator, we can obtain the following sine curve:
$T = 19.708⋅sin(0.5236M−2.1722)+72.8333$
$T$ is the temperature
$M$ is the month
Note that $19.708$ is the amplitude of the sine curve and $72.8333$ is the average temperature in degrees Fahrenheit.
