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Question
now, because we know the data follows a quadratic model, we can use desmos to calculate the regression equation that best models the data.
you must remember what to type into desmos to get the values for a, b, and c
$y_1 sim ax_1^{2}+bx_1 + c$
- find the regression equation. use desmos to graph the regression equation with the scatter - plot.
- use the regression equation to answer each question:
a) determine the y - intercept and interpret its meaning in terms of this scenario.
b) determine the x - intercept(s) and interpret the meaning of each in terms of this problem situation.
c) predict the number of pelicans in the region in 2014 and 2019.
example 2: the table below shows the number of rabbits in a forest over time. use a quadratic regression equation to predict the number of rabbits in the 7th year.
| year | 1 | 2 | 3 | 4 | 5 |
| rabbit population | 25 | 32 | 44 | 60 | 80 |
regression equation:
number of rabbits in 7th year:
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