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never [62]
3 years ago
10

Consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the p

opulation x and the year y over the ten-year span in the form (x, y) for specific recorded years. Use linear regression to determine a function y, where the year depends on the population. Round to three decimal places of accuracy. (2500, 2001), (2650, 2002), (3000, 2004), (3500, 2007), (4200, 2011) Predict when the population will hit 15,000.
Mathematics
1 answer:
frutty [35]3 years ago
3 0

Answer:

y = 0.00587x +1986.406

Step-by-step explanation:

Given that the population of a city increased steadily over a ten-year span. The following ordered pairs show the population x and the year y over the ten-year span in the form (x, y) for specific recorded years.

x y

 

2500 2001

2650 2002

3000 2004

3500 2007

4200 2011

 

 

Slope 0.005865485

Intercept 1986.406413

So regression line is

y = 0.00587x +1986.406

When population = 15000

0.00587(17000)+1986.406\\=2074.389

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