Function word problem

Question

The percentage of adults who use the internet. Or email on their smartphones is shown in the table below for various of years.

Year    Percent

2009    31

2010    43

2011    47

2012    55

2013    63

 Let F(t) be the percentage of adults who use the internet or email on their smartphones at T years since 2000. Find an equation of F.

Answer 1

 

I BET for 2010, the percent is 39, not 43. THAT would make the slope M=8

The intercept is B = y - mx = 31 - 8*9 = 31 - 72 = -41

 

So the equation of the linear model is y = 8x - 41

 

However,

Barring typos, the slopes are different.

It does not look exponential either.

 

Your best bet is to do a least squares regression model, so as to get

the slope and intercept of the best fit trend line.

 

The following website does least squares regression calculations:

http://www.neoprogrammics.com/linear_least_squares_regression/index.php

 

THe result is 

y = 7.6x - 35.8