For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs shows the population (in hundreds) and the year over the ten-year span, (population, year) for specific recorded years: (4,500, 2000); (4,700, 2001); (5,200, 2003); (5,800, 2006)

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