A ball is thrown into the air. The table shows the heights h (in feet) of the ball after t seconds. Write a function (using desmos & a regression formula) that models the height of the ball over time. Time, t 0. 2 4 Height, h 31 33 11
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Given : A ball is thrown into the air . The provided table shows the heights h (in feet) of the ball after t seconds .
The following data are passed:
| Time t | Height h |
| 0 | 5 |
| 2 | 31 |
| 4 | 33 |
| 6 | 11 |
The independent variable is , and the dependent variable is .
In order to compute the regression coefficients, the following table needs to be used :
| t | h | t*h | t2 | h2 | |
| 0 | 5 | 0 | 0 | 25 | |
| 2 | 31 | 62 | 4 | 961 | |
| 4 | 33 | 132 | 16 | 1089 | |
| 6 | 11 | 66 | 36 | 121 | |
| Sum = | 12 | 80 | 260 | 56 | 2196 |
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