Harry and Matt's Facebook World Domination

Facebook World Domination:

Table:

Amount of Users (Millions) VS. Months Since Facebook's Start

Y-Variable X-Variable

1	0
5.5	12
12	24
20	28
50	34
100	44
150	49
175	50
200	51
250	52
300	55
350	57

Scatter Plot of Data From Above:

Regression Equation (Picture Below): Y=1.252(1.1051^X)

This equation shows the predicted graph of the users in the world with Facebook accounts.

In the Equation:

Y= The number of people in the world with a Facebook.

X= The number of months since the company's start.

A= The Initial Amount of Facebook Members at the start.

B=Percent of growth per month, with a growth of 10.51% per month.

(Graph of Scatter Plot and Regression Line Below)

Follow Up Questions:

1. Based on my model, the amount of users on Facebook during this month, would be 556 Million People.

1.252(1.1051^61) --> 1.252(444.115)= 556 (Million)

For X I Used 61, as it has been 61 months since December 2004.

2. Six months from now, will be November 2010, and 67 (61+6) months since Facebook's start.

1.252(1.1051^67) --> 1.252(808.9203) = 1,012,000000 People, or around 1 Billion People will have Facebook pages.

3. According to the UN, the World's population is now around 6,692,030,277. To find out when all of them have facebooks, I put that number into my equation.

(In millions) 6692.030277=1.252(1.1051^X)

5345.072106=1.1051^X

Log(5345.072106)=X Log(1.1051)

85.89=X

86-61=25

25 Months from now is May 2012. According to our model, the whole world will belong to the dominion of Facebook by then. Goodbye world!