Use the regression capabilities of a graphing calculator to complete Exercises 30
High jump records: In the sport of track and field, the high jumper is an unusual athlete. They seem to defy gravity as they launch their bodies over the high bar. The winning height at the summer Olympics (to the nearest unit) has steadily increased over time, as shown in the table for selected years. Using the data, (a) draw the scatterplot, (b) determine whether the association is linear or nonlinear, (c) determine whether the association is positive or negative, and (d) find the regression equation using t = 0 corresponding to 1900 and predict the winning height for the 2004 and 2008 Olympics How close did the model come to the actual heights?
Source: athens2004.com
Year (1900S0) | Height in. |
0 | 75 |
12 | 76 |
24 | 78 |
36 | 80 |
56 | 84 |
68 | 88 |
80 | 93 |
88 | 94 |
92 | 92 |
96 | 94 |
100 | 93 |
104 |
|
108 |
|
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