The objective is to use the given data and exponential regression to predict Los Angeles’s population for 2020 and determine if logistic regression would be a more appropriate model.
The predicted population of Los Angeles in 2020 is 4529.842 thousand.
Yes, logistic growth model is more realistic than exponential growth model thus it would be more appropriate model.
Given: Population of Los Angeles (in thousands).
Year | Los Angeles |
1950 | 1970 |
1960 | 2479 |
1970 | 2812 |
1980 | 2969 |
1990 | 3485 |
2000 | 3695 |
2010 | 3793 |
Let
By using exponential regression, the population model by using the 1950-2010 data is computed as:
Substitute
The predicted population of Los Angeles in 2020 is 4529.842 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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