5) The following ordered pairs (t,1) represent the Olympic year 400-meter freestyle swimming event. (1952, 5.20) (1956, 4.91) (1960, 4.84) (1964, 4.72) (1968, 4.53) (1972, 4.32) (1976, 4.16) (1980, 4.15) (1984, 4.12) (1988, 4.06) (1992, 4.12) (1996, 4.12) (2000, 4.10) (2004, 4.09) (2008, 4.05) (2020, 3.57) a) Find an appropriate regression model with t=0 corresponding to 1950. b) What is the average rate of change from 1952 to 2020? How does this compare to the rate of change of your regression model? 3. When a football is punted, it goes up into the air, reaches a maximum altitude, then comes back down. When the ball was kicked it was 4 feet above the ground. One second later, it was 28 feet above the ground. Two seconds after it was kicked, the football was 20 feet up. a. Define the variables Independent (x)=_ Dependent (y)= b. Make a table of values and sketch a graph with appropriate labels. c. Find the quadratic equation. y= d. Find the coordinates of the vertex? Explain its meaning. e. For how long is the football above 20 feet? Y