Question

Determine the expotential growth equation from the following table?

Year 2007: 1.6 million subscribers
Year 2008: 2.7
Year 2009: 4.4
Year 2010: 6.4
Year 2011: 8.9
Year 2012: 13.1
Year 2013: 19.3
Year 2014: 28.2
Year 2015: 38.2
Year 2016: 48.7

A. What is the expotential equation that you found?
B. Using the non rounded regression equation to determine during what year will the number of subscribers pass 100 000 000?

Answer 1

The ratio between terms is not quite constant, so I'll just take the 1st and last to figure out the average growth rate. The population grew from 1.6 to 48.7 million in 9 years, so
r = (48.7/1.6)^(1/9) = 1.4615

so, to find when the population reaches 100 million, we need

1.6 * 1.4615^t = 100
t = 10.8974
So, in 2007+10.89 or 2018 the population will reach 100 million

Answer 2

its not average growth rate lmao^

again stop deleting my legit comments.
yall want troll names answering legitly or idiots like this

Answer 3

If you want to use regression (which also, by the way, calculates a kind of average value), use linear regression on the log of the population.

Answer 4

Thank you Steve :)