Problem

At the Mawson base in Antarctica, the mean monthly temperatures for the last 30 years are:

Month	Jan	Feb	Mar	Apr	May	Jun	July	Aug	Sept	Oct	Nov	Dec
Temperature ( $^{\circ}\text{C}$ )	0	0	-4	-9	-14	-17	-18	-19	-17	-13	-6	-2

a. Find a sine model for this data without using technology. Use Jan

\equiv 1

, Feb

\equiv 2

, and so on. b. Draw a scatter diagram of the data and sketch the graph of your model on the same set of axes. c. How appropriate is the model?