The objective is to use the given data and exponential regression to predict Phoenix’s population for 2020 and determine if logistic regression would be a more appropriate model.
The predicted population of Phoenix in 2020 is 2850.9 thousand.
Yes, logistic growth model is more realistic than exponential growth model thus it would be more appropriate model.
Given: Population of Phoenix (in thousands).
Year | Phoenix |
1950 | 107 |
1960 | 439 |
1970 | 584 |
1980 | 790 |
1990 | 983 |
2000 | 1321 |
2010 | 1446 |
Let
By using exponential regression, the population model by using the 1950-2010 data is computed as:
Substitute
The predicted population of Phoenix in 2020 is 2850.9 thousand.
The logistic growth model is more realistic than exponential growth model thus it would be more appropriate model.
Chapter 3 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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