3. The data below shows the cooling temperature of a cup of coffee after it is poured.

a. Determine the model of best fit for the data set. Justify your answer.
b. When is the coffee at a temperature of 108 degrees?
c. Due to a lawsuit with McDonald's, coffee should be served at 155 degrees to avoid serious
burns. After pouring the coffee, how long should a restaurant wait before serving to ensure that
the coffee is not hotter than 155 degrees?

4. The height of a pendulum in meters above the ground after t seconds in motion is given by the following table.

A. Find the sinusoidal regression equation.
B. Is sinusoidal regression the best fit? Use residuals to justify your answer.
C. What is the pendulum’s height after 2 seconds?