Question

Consider this scenario: 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. 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 13,000.

The linear regression model based on this data predicts that this will happen during the year ????.

Answer 1

from above line equation: Yhat=1986.406+0.006*x

for x=13000 ; predicted year =1986.406+0.006*13000=2064.406~ 2065