College Algebra – Bouncing Ball Activity Name: ___________________________________________ Name(s) of Other Group Member(s):_______________________________________________________ Objective: To use calculator regressions to determine and apply the relationship between the heights of dropped balls and the heights of their bounces. Materials: Yardstick, golf ball, graphing calculator Step 1: Fill in the following tables by dropping a golf ball from different heights and recording the height of one bounce. After completing five trails at each height, find the average of all five trails, rounding to the nearest hundredth. Tennis Ball Drop Height (x) Trial 1 Trial 2 Trial 3 Trial 4 Trial 5 Average Bounce (y) 6 in 12 in 18 in 24 in 30 in 36 in Step 2: With the initial drop height as the independent variable (x) and the average bounce-back as the dependent variable (y), use a graphing utility to draw a scatter plot and determine the line of best fit. Write your equation below , rounding to the nearest thousandth. Step 3: Use your equation to predict If a golf ball had a bounce of 200 inches, from what height was it initially dropped? Show all work.