Wednesday, June 9, 2010
Wednesday, May 26, 2010
Monday, May 17, 2010
Ryan Carter & Caitlin Coles
Facebook World Domination
Exponential Regression
a: initial amount of people on facebook
b: a ten percent increase in the amount of people on facebook per month
x: amount of months
Number of Users This Month: 588.4 million
y=(1.2)(1.1)^65
Number of Users 6 Months From Now: 1.04247 billion
When the Whole World Will Be on Facebook:
According to www.google.com/publicdata the world population is 6,692,030,277. When plugged into the equation...
We divided both sides by 1.2 to get...
Will the Ball Hit the CanQuadratic Regression
equation: y = ax^2+bx+c
a = represents the slope of the arc
b =
c = maximum height of the tennis ball
(no picture because of technical difficulties)
No, it will not land in the can placed at 60 meters, but before it. The ball will land at 50.26 meters because that is when the parabola crosses the Y-axis.
No, it will not land in the can which is placed at 60 meters. It will land at 84.58 meters according to where the parabola crosses the Y-axis (or hits the ground).
equation 3: y = -.01x^2+.22x+77.70
No, this one will not land in the can placed at 60 meters. It will hit the ground at 76.17 meters because that is where the parabola crosses the Y-axis.
Although, according to none of our data the ball will land in the can due to mathmatical errors, we believe equation 1 will probably land in the can if calculated correctly due to it being the closest to 60 meters.
Exponential Regression
equation: y = ab^x
y = 1.2*1.1^x
a: initial amount of people on facebook
b: a ten percent increase in the amount of people on facebook per month
x: amount of months
Number of Users This Month: 588.4 million
y=(1.2)(1.1)^65
Number of Users 6 Months From Now: 1.04247 billion
y=(1.2)(1.1)^71
When the Whole World Will Be on Facebook:
According to www.google.com/publicdata the world population is 6,692,030,277. When plugged into the equation...
6,692,030,277 = (1.2)(1.1^x)
We divided both sides by 1.2 to get...
557669189 = 1.1^x
Then we took the log of both sides and divided the log of 557,669,188 by the log of 1.1...
log(557,669,189)/log(1.1) = 211
It will take 211 months from the start of Facebook for the whole word to be members.
Will the Ball Hit the CanQuadratic Regression
equation: y = ax^2+bx+c
a = represents the slope of the arc
b =
c = maximum height of the tennis ball
equation 1: y = -.001x^2-.1x+26.1
(no picture because of technical difficulties)
No, it will not land in the can placed at 60 meters, but before it. The ball will land at 50.26 meters because that is when the parabola crosses the Y-axis.
equation 2: y = -.007x^2+.06x+36.96
No, it will not land in the can which is placed at 60 meters. It will land at 84.58 meters according to where the parabola crosses the Y-axis (or hits the ground).
equation 3: y = -.01x^2+.22x+77.70
No, this one will not land in the can placed at 60 meters. It will hit the ground at 76.17 meters because that is where the parabola crosses the Y-axis.
Although, according to none of our data the ball will land in the can due to mathmatical errors, we believe equation 1 will probably land in the can if calculated correctly due to it being the closest to 60 meters.
Monday, April 26, 2010
Homework Probability Day 6
You can download the word document, or here are the questions:
Day 6 homework:
1. In the instant lottery, 20% of the tickets purchased are winning tickets. If Joe purchases 8 lottery tickets, what is the probability that 2 of his tickets are winning tickets (4 decimal places)?
2. Leghorn chickens are raised for lying eggs. 0.5 is the probability of a female chick hatching. Assuming independence, find the probability that there are exactly 6 females out of 10 newly hatched chicks (4 decimal places).
3. Suppose that we are in those rare times when 65% of the American public approve of the way the President of The United States is handling his job. Find the probability that 6 out of 8 Americans do not approve of the President (4 decimal places).
4. At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. Find, to the nearest tenth, the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light (4 decimal places).
5. The Coolidge family's favorite television channels are 3, 6, 7, 10, 11, and 13. If the Coolidge family selects a favorite channel at random to view each night, what is the probability that they choose exactly three even-numbered channels in five nights? Express your answer as a fraction or as a decimal rounded to four decimal places.
6. During a recent survey, students at Franconia College were asked if they drink coffee in the morning. The results showed that two-thirds of the students drink coffee in the morning and the remainder do not. What is the probability that of six students selected at random, exactly two of them drink coffee in the morning? Express your answer as a fraction or as a decimal rounded to four decimal places.
Day 6 homework:
1. In the instant lottery, 20% of the tickets purchased are winning tickets. If Joe purchases 8 lottery tickets, what is the probability that 2 of his tickets are winning tickets (4 decimal places)?
2. Leghorn chickens are raised for lying eggs. 0.5 is the probability of a female chick hatching. Assuming independence, find the probability that there are exactly 6 females out of 10 newly hatched chicks (4 decimal places).
3. Suppose that we are in those rare times when 65% of the American public approve of the way the President of The United States is handling his job. Find the probability that 6 out of 8 Americans do not approve of the President (4 decimal places).
4. At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. Find, to the nearest tenth, the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light (4 decimal places).
5. The Coolidge family's favorite television channels are 3, 6, 7, 10, 11, and 13. If the Coolidge family selects a favorite channel at random to view each night, what is the probability that they choose exactly three even-numbered channels in five nights? Express your answer as a fraction or as a decimal rounded to four decimal places.
6. During a recent survey, students at Franconia College were asked if they drink coffee in the morning. The results showed that two-thirds of the students drink coffee in the morning and the remainder do not. What is the probability that of six students selected at random, exactly two of them drink coffee in the morning? Express your answer as a fraction or as a decimal rounded to four decimal places.
Saturday, April 24, 2010
Colin and Catherine
This Is OUR SCATTER plot. we used exponential regression!!!!!!
y=.56*1.1^x
1.1 is multiplied by the number in the previous month to get the next months number of people
.56 would be the number of people (in millions) starting
x=number of months passed
and y=number of FACEBOOK users
Right now there are 644.68 million users! starting in February 2004, you can plug in 75 for x (because 75 is the number of months since February 2004
in six more months there will be 1.124 BILLION users!
Everyone will have a facebook in 1yr, 6month and 22 days!
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!
Wednesday, April 14, 2010
...And We're Walking!
John Peters and Ryan Donohue
y=.054447x -7.392687
A is miles per minute, yet it takes more than one minute to walk half a mile.
B is the distance that you go when you drive nowhere. (the graph is not perfect)
LOCATIONS Miles Hours
Ryans house 2.8 .83
School 3.3 .99
Library .7 .23
Church .1 .02
Wegmans 3.2 1.1
Papa Gallos 1.2 .45
Fox Rd 12 3.96
Erie Boulivard 6.4 2.18
------
Manhattan 222 74
Ithica 54.2 18
Inlet 92.4 30
Honeoye 87.5 29
Utica 30.8 13.5
Whiteface 192 62
Niagara Falls 166 54
Plattsburg 215 71
---------
Outer Banks Nc 636 209
Wickford Ri 290 96
Middletown De 284 95
Wakeforest Nc 581 192
Las Vegas Nv 2452 777
Fairbanks Ak 3998 1282
Florida 1410 462
Milwakee Wi 749 244
Facebook World Domination
John Peters and Ryan Donohue
L1 L2
12 1
24 5.5
36 12
40 20
46 50
56 100
61 150
62 175
64 200
67 250
69 300
72 350
exponential regression equation: y=(.45)(1.o99^x)
x= the number of months
y= the millions of users
1. 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)
X=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 (around 1 Billion People will have Facebook pages.)
3. The UN states that the World's population is now around 6,692,030,277.
--- To find out when all of them have facebooks, plug that number into the 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.
The world will be Facebook's then.
L1 L2
12 1
24 5.5
36 12
40 20
46 50
56 100
61 150
62 175
64 200
67 250
69 300
72 350
exponential regression equation: y=(.45)(1.o99^x)
x= the number of months
y= the millions of users
1. 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)
X=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 (around 1 Billion People will have Facebook pages.)
3. The UN states that the World's population is now around 6,692,030,277.
--- To find out when all of them have facebooks, plug that number into the 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.
The world will be Facebook's then.
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