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\[pop = \beta_0 + \beta_1age + \beta_2age^2 + \beta_3age^3 +\beta_4age^4+ \epsilon\]
Using the information below, write out the equation to predict the change in population from a change in age from the 25th percentile (24.5) to a 75th percentile (73.5).
term | estimate | std.error | statistic | p.value |
---|---|---|---|---|
(Intercept) | 1672.0854 | 64.5606 | 25.8995 | 0.0000 |
age | -10.6429 | 9.2268 | -1.1535 | 0.2516 |
I(age^2) | -1.1427 | 0.3857 | -2.9627 | 0.0039 |
I(age^3) | 0.0216 | 0.0059 | 3.6498 | 0.0004 |
I(age^4) | -0.0001 | 0.0000 | -3.6540 | 0.0004 |