All of the following exercises can be done with a graphing calculator if your instructor so directs. The calculator can also be used to check your work.
Predicting the world record in the high jump. It has been established that most world records in track and field can be modeled by a linear function. The table below shows world high-jump records for various years.
Number of years, x, since 1912 | World Record In High Jump, y, (in inches) |
0 (George home) | 78.0 |
44 (Charles Dumas) | 84.5 |
61 (Dwight Stones) | 90.5 |
77 (Javier Sotomayer) | 96.0 |
81 (Javier Sotomayer) | 96.5 |
a. Find the regression line,
b. Use the regression line to predict the world record in the high jump in 2020 and in 2050.
c. Does your answer in part (b) for 2050 seem realistic? Explain why extrapolating so far into the future could be a problem.
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