5. A robot on Mars records the temperature every Mars day. A summary series, showing every one hundredth Mars Day, is shown in the table below. Number of 0 100 200 300 400 500 600| 700 800 Mars days (n) 900 1000 1100 1200 1300 Temp. ("C) -43 15 -5 -21 -59 -79 68 50 -27 -8 -15 -70 -78 -68 a. Find the maximum temperatures recorded by the robot. (1) b. Use the data to estimate the length of a Mars year. c. Without technology, find a sine model for the temperature 7 in terms of the number of Mars days n. (4) d. Draw a scatter diagram of the data and sketch the graph of your model on the same set of axes. (1) e. Check your answer to c) using technology. How well does your model fit? (1)