Make a scattered plot of data, draw a line of best fit find the equation of the line best fit Show explain Describe the slope of the line best fit represents

Question

Population of town for years 200-2009

Year                 2000  2001  2002  2003  2004  2005  2006  2007  2008  2009

Population        1605  1728  1776  1903  2072  2050  2141  2150  2318  2363

Use the equation to predict the poluation in 2013  Show your work

Answer 1

On a graph, let the values of x be 0 through 9, to represent 2000 through 2009.

 

Let the y values be 1605, 1728, ... and plot the points.

 

(I'd let the origin be (0, 1600) and this go through (10,2400).So the points plotted will be:

 

(0, 1605), (1, 1728), (2, 1776),... (9,2363).

 

Then draw the line such that the same number of points appear to the left of the line as appear to the right.

 

Use two points, find the slope and use the point-slope formula to find the equation.

 

You can use the calculator AFTER this to see if you are right.  NOTE: it says to show and explain, not just to blindly use the calculator.