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 15,000.

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.

xy

25002001

26502002

30002004

35002007

42002011

Slope0.005865485

Intercept1986.406413

So regression line is

When population = 15000

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

triangle and cube

step-by-step explanation: