Chapter 4, Problem 31PT

For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year over the ten-year span, (population, year) forspecific recorded years:

$\left(\text{4},\text{5}00,\text{ 2}000\right);\left(\text{4},\text{7}00,\text{ 2}00\text{1}\right);\left(\text{5},\text{2}00,\text{ 2}00\text{3}\right);\left(\text{5},\text{8}00,\text{ 2}00\text{6}\right)$

Use linear regression to determine a function y, where the year depends on the population. Round to threedecimal places of accuracy.