Tides at Minas Basin, Nova Scotia, are the highest tides in the world and range from 15 m from minimum tides to maximum tides. The following table is the data for the Minas Basin for April 9, 2003, where time is given in Atlantic Standard Time hours and the tide level is given in metres. (2 marks for part a, 1 mark for the rest 7 marks) Hour 0 1 2 3 4 5 6 7 8 9 10 11 3.3 3.6 4.7 6.3 8.1 9.6 10.5 10.6 9.8 8.2 6.3 4.6 Height (m) Hour 12 13 14 15 16 Height 3.4 3.1 3.7 5.1 6.8 (m) a. Sketch the scatterplot for this data. 17 18 19 20 21 22 23 8.4 9.7 10.2 9.9 8.8 7.1 5.4 b. Perform a regression on the data and determine the equation (to three decimal places). c. A large trawler needs 4 m of water to float. For approximately how many hours of the day will the boat sit on the floor of the basin? d. What is the water depth at 14:36? Note: 17:12 is 17 h + e. By inspecting the data, what is the period of the tides? of an h-17.2 h in decimal form. f. At what time(s) throughout the day will the tide height be 7.5 m?