Answer to Question #196247 in Statistics and Probability for klent

Question

Year (x) 2005 2006 2007 2008 2009 2010 2011 2012 Population (y, in million) 85.26 86.97 88.71 90.46 91.02 92.6 94.18 95.77 Source: tradingeconomic.com.philippines/population 1. Find the regression line that will predict the population for any given year.

Answer 1

Using online calculator www.graphpad.com, we get an equation of the regression line:

$y=1.451x-2823$

Calculations:

$y=ax+b$

$a=\frac{n\sum xy-\sum x\sum y}{n\sum x^2-(\sum x)^2}$

$b=\frac{\sum y\sum x^2-\sum x\sum xy}{n\sum x^2-(\sum x)^2}$