I don't have a graphing calc so I need help with this one. A batter hits a fly ball. A scout in the stands makes the following observations. There is a table with time (seconds) and height (feet) in correspondence to each other time is .75,1.5,2,3.25,4.75 and height is 77,133,160,187,194,169 I am now supposed to a circle the type of function that best models this data either linear, exponential, quadratic, and other the answer is quadratic. B I can't figure out with out a GraphCalc. (b) Use a graphing calculator to preform the regression for the best-fit equation. Write the resulting equation below, rounding to the nearest hundredth. (c) Determine the initial velocity of the baseball and the height of the ball when hit. Round to the nearest hundredth. (d) Calculate how many seconds an outfielder has to position himself for the catch if he intends to catch the ball 6ft above the ground. Show your work and round to the nearest hundredth. Many thanks :)

1 answer

If you graph the table of values and draw a line through the coordinates, the graph will look like a parabola. Thus the equation is quadratic. Since you don't have a graphing calculator, I will give you the resulting a/b/c values that it comes up with, but the rest is for you to figure out.

y=ax^2+bx+c
a= -15.90232286
b= 110.4844181
c= 3.015677435