Friday, April 16, 2010

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!

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