Hurricanes are categorized with winds 111-130 miles per hour (mph) corresponding to a category 3 hurricane, winds 131-155 mph corresponding to a category 4 hurricane, and winds in excess of 155 mph corresponding to a category 5 hurricane. The following data represent the number of major hurricanes (H) in a certain region (category 3, 4, or 5) each decade (x) from 1921 to 2010. Answer parts (a) through (d). X H X H X H
1921-1930 18 1951-1960,4 18 1981-1990.7 19
1931-1940 20 1961-1970,5 22 1991-2000,8 20
1941-1950 37 1971-1980, 6 36 2001-2010,9 35

Required:
Find a sinusoidal function of the form y A sin (ωx- φ) + B that models the data