Exponential relationship : Videos
Excel 2010 Statistics 64: Relationship Between Poisson & Exponential Probability Distributions
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Managing Exponential Data Growth with IBM SAN Volume Controller
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How The Ph Scale Works
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Differential Equations and the Exponential Function
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Exponential relationship : Photo Gallery
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1.3.3.26.6. Scatter Plot: Exponential Relationship
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Exponential relationship : Latest News, Information, Answers and Websites
Charting 101 - macrobusiness.com.au | macrobusiness.com.au
A linear chart is usually used when the nominal change in underlying values does not have an Exponential relationship, that is, both series are of a similar scale/size. A semi-log chart should be plotted when a large series of ...
How to calculate percent in which an exponential relationship affects a linear correlation?
I have run a basic Pearson P-M correlation, but I can tell from my scatterplot that an Exponential relationship exists between the two variables. I want to either completely account for (using the data set), or at least estimate (using the formula for the Exponential relationship) the extent to which this Exponential relationship has affected said linear correlation. I am not a math whiz, so please be considerate about jargon use. Thank you!
Answer: Your question is a bit confusing, so take this with caution.
There's a difference between a quadratic regression analysis and a linear regression analysis. So if it appears that your data fits a curve instead of a straight line, use the former.
If you've a TI-83, you can do this by putting your x and y values into two different lists and running the analysis using the STAT CALC QuadReg analysis. Most other graphing calculators should be able to do the same thing.
I hope I've understood you correctly and that this helps.
Category: Mathematics
Relating exponential and logarithmic functions
There is a close relationship between exponential functions and logarithmic functions: each is the inverse of the other. This means that if y=ax, ...
What is the relationship between Temp and Reaction Rate? Linear or Exponential?
Linear or Exponential?
I know it increases with temp. but I would like to know for graphing in the future.
Thanks in advance.
10 points for best answer.
Answer: The relationship between temperature and reaction rate is described by the Arrhenius equation, which says that the rate constant of a reaction will vary exponentially with temperature. The actual equation is:
k = Ae^(-E_A/(RT))
k being the rate constant in a reaction rate law, E_a being the activation energy. I has to do with the nature of partition functions, and the likelihood of molecules being in higher energy states given that there is a higher ambient temperature.
In a nutshell - As temperature increases, the reaction rate increases exponentially.
Category: Chemistry
Video 2c, Relationship Exponential and Poisson distributions ...
Hello David,. In the video for Quantitive Analysis 2.c, I think there is a mistake on slide 31. For H=1hour and lambda=0.25 (like stated in the example), I get the following values: => P (Y > H) = Exp(-0.25*1) = 77.9% (instead of ...
11 ILC at Penn: Going out With a Bang
In general, our assignment was to test different phenomena and to determine if they were Exponential relationships or not. That sounds a little bit vague, so I'll give examples of a few of the phenomena that groups tested. ...
1.3.3.26.6. Scatter Plot: Exponential Relationship
Scatter Plot Showing Exponential relationship, scatter plot showing exponential relationship. Discussion, Note that a simple straight line is grossly ...
Exponential Relationships and Models
Like linear relationships, Exponential relationships describe a specific pattern of change between a dependent and independent variable; Recognizing and ...
is a parabolic relationship the same as an exponential relationship?
Answer: Ummm, No.
A parabolic relationship is, well, parabolic (quadratic) while an Exponential relationship is, ahem ... exponential.
A power function like x² (parabolic=quadratic) is *not* the same as an exponential function like 2ˣ
Category: Mathematics
Will You Survive A Relationship ... - | Exponential Personal Growth
We've got many kinds of relationships-parental, sibling, pals, skilled and love. We undergo many phases in all these relationships. Ups and downs are a part of our life and our relationships. Most of us can bear break down in ...
How do you use an equation to find the y-intercept for an exponential relationship?
Answer: The same way you do it with anything else. Set x to 0. For instance:
y = e^(3x)
To find the y-intercept, x = 0, so
y = e^(3 * 0) = e^0 = 1
So the y-intercept is (0, 1).
Category: Homework Help
How do i arithmetically prove an exponential relationship?
I need to prove arithmetically (by calculation) for the data below that the foam decreases exponentially with time
time height
0 6
15 4.8
30 3.8
45 3.1
60 2.5
how do i do that??
i think i need to show a constant for each value but idk how
Answer: An exponential decrease with time means that the height follows an expression of the form
h = h0.e^(-c.t)
where h0 is the initial height ie the height at time t = 0 ie h0 = 6, and c is a constant which measures the rate at which it decreases. To show that this law is obeyed for this set of data, you need to calculate c for each time t and show that the results are the same (more or less!).
Taking (natural) logs gives
ln(h) = ln(h0) - c.t
which rearranges to
c = - [ln(h/h0)]/t
So for each pair of values (except the first, which gives you h0), substitute h and t into this equation and add the result c as a third column eg
time . . . height . . . .c
.0 . . . . .6.0 . . . . .n/a
15 . . . . .4.8 . . . . 0.0149
30 . . . . .3.8 . . . . 0.0152
45 . . . . .3.1 . . . . . ?
60 . . . . .2.5 . . . . . .?
I've done the first two for you, but how close to these are the remaining two? And are they consistent enough to conclude that - allowing for experimental errors - c is a constant?
Category: Mathematics
AX84.com - The Cooperative Tube Guitar Amp Project
... thinking the circuit might not work very well with these new highly linear ones. --. All BJTs are going to have the same Exponential relationship between base-emitter voltage and collector current -- it's a fundamental property. ...
How to map two sets of numbers to each other so they have an exponential relationship?
Hello,
I wish to map 1 to 0 to 200 to 0 with a negative Exponential relationship. This is for a car racing bot I am programming. The more I turn the slower I want to go. So on a full turn (1) I want to be going 0 kmph and a when Im not turning atall I want to go full speed 200 kmph.
So:
- f(0) needs to equal 200
- f(1) needs to equal 0
Ive managed to map these linearly but I want an Exponential relationship. Linear relationship is not good enough. I need to make it so I slow down EXPONENTIALLY. Such that a graph would look a bit like this:
http://zoonek2.free.fr/UNIX/48_R/g773.png
I dont care so much about the exponent right now... I can play around with that.. But has anyone any ideas how this can be done?
Sorry if any terminology is off. Advice is appreciated :)
Answer: I don't think you want exponential, your picture looks more like this:
y = 300 / (2 * x + 1) - 100
here are the points you would get:
X: Y
0.00: 200.0000
0.05: 172.7273
0.10: 150.0000
0.15: 130.7692
0.20: 114.2857
0.25: 100.0000
0.30: 87.5000
0.35: 76.4706
0.40: 66.6667
0.45: 57.8947
0.50: 50.0000
0.55: 42.8571
0.60: 36.3636
0.65: 30.4348
0.70: 25.0000
0.75: 20.0000
0.80: 15.3846
0.85: 11.1111
0.90: 7.1429
0.95: 3.4483
1.00: 0.0000
Category: Mathematics
What is the equation for an exponential relationship with A0 being 0?
Like acceleration. Because if A0 is 0 thats sorta make the whole equation 0.
Answer: a(x) = x*(b^x)
a(0) = 0*(b^0) = 0*1 = 0
a(1) = 1*(b^1) = b
a(2) = 2*(b^2) = 2(b^2)
...
I don't know if this helps, but it seems to meet your conditions
Category: Mathematics
Is there an exponential relationship between notes on a piano and how does this work?
Is there a relationship between the frequency of G# and its position in relationship to middle C
....and well assume middle C has a frequency of 262Hz
sorry i didnt really describe the question well....
any help would be great :)
thanks in advance
Answer: There are 7 white keys and 5 black keys in an octave, so totally there are 12 keys in an octave , if you assume a key for example F has the frequency of x, the next F which is an octave upper than it, will have the frequency of 2x, therefore in this octave F# frequency is x multiplied by a certain number and G frequency is F# frequency multiplied by the same number and so on; this number which is "y", can be found like this :
There are 12 keys to reach the next F, so there are 12 "y" multiplied to get to 2x :
x*y*...*y = 2x
=> x*(y^12) = 2x , you can omit x => y^12 = 2 => y = 2^(1/12)
I wish I hadn't made you confused, now with this number you should find your answer. G# is 8 halftone (for instance C# is 1 halftone upper than C) upper than C, so as you say if we assume the middle C frequency is 262Hz , G# frequency will be :
262*(y^8) , substitute "y" by 2^(1/12) => 262*(2^(8/12)) = 262*(2^(2/3)) = 262*(4^(1/3)) = 262*1.5874 = 415.8990
G# frequency is 415.8990
Hope to help
Category: Mathematics
A-level Physics (Advancing Physics)/Exponential Relationships ...
May 12, 2010 ... Many things are governed by Exponential relationships. The exponential relationships which we shall be dealing with are of the following ...
What is the relationship between the growth factor of an exponential and its Δy/Δx vs y?
How can I find what the growth factor of the exponential model is, from the Δy/Δx vs y equation? How do they relate to each other?
Answer: What do you mean by "Δy/Δx"? Are you referring to the standard "dy/dx," denoting a derivative?
The Δ symbol does indicate change... as does the 'd' in Leibniz's notation of the derivative... but the 'd' refers to an infinitesimal change while Δ refers to any finite change.
Anyway... the rate of change of any exponential function y = a^x will have a value of ln(a)⋅a^x
If y = a^x then
y' = dy/dx = ln(a)⋅a^x
It is no coincidence that the transcendental number 'e', Euler's number (approx 2.718281828...) works beautifully with this.
If y = e^x
then y' = dy/dx = e^x
... the functional value and its instantaneous slopes are the same.
That is no coincidence. This is the defining basis for what 'e' is. The value for e was evaluated using the above definitions
Category: Mathematics
Course 1, Unit 6 - Exponential Models
They construct and use data tables, graphs, and equations in the form y = a(b)x to describe and solve problems about Exponential relationships such as ...
Whats an exponential relationship?
Im in 8th grade, and Im not entirely sure what an Exponential relationship is. In class, were doing exponential growth and decay, so we have to identify if a specific problem describes an Exponential relationship.
Could you give me an example with this problem?:
1a. y = 100 * 3^x
So how can you identify an Exponential relationship? Does it mean if the problem includes exponents?
Thanks!
Answer: If the independent variable (x, in this case) appears as an exponent, then the relationship is exponential.
The following is an Exponential relationship:
y = 3 * 6^(2*x)
The following is NOT an Exponential relationship:
y = 3 * (2*x)^6
The reason the second example is not exponential is that the dependent variable (x) does not appear AS an exponent itself.
Category: Mathematics
What is the relationship between the growth factor of an ...
Question by Amy: What is the relationship between the growth factor of an exponential and its Δy/Δx vs y? How can I find what the growth factor of the exponential model is, from the Δy/Δx vs y equation? ...
Exponential Relations
An exponential relation has the form. where the base number, a, is a positive real number other than 1 and the variable x is the exponent of the base number ...
Exponential decay, what is an an approximate linear relationship between b and k for small k values?
In the two exponential decay formulas
y=ab^x
and
y=ae^kt
what is the linear relationship between b and k for small k values?
Answer: y = a b^x = a exp(kt)
b^x = exp(kt)
x ln(b) = k t
Assume x = t
ln(b) = k
b = exp(k)
Taylor expand exp(k): 1 + k + k^2 / 2 + ..
Linearize: exp(k) ~ 1 + k
b ~ 1 + k
Category: Mathematics
Power and Exponential Equations
I set up my equation as y=.9031x^4. For the Exponential relationship I had: Slope of linearization equation (trendling) = 1.3029. Y intercept of linearization equation (trendline) = .699. I set up my equation as y=.699e^(1.3029x) ...
Exponential relationships
This relationship tells us that 'y' is always twice as large as x. Exponential relationships are relationships where one of the variables is an exponent. ...
what is a linear relationship and exponential relationship?
well what is linear relationship and expoential relationship. how do u find out which one is which.
Answer: A linear relationship is graphed as a sraight line (y=a+bx). The Exponential relationship would be graphed as a curved line and there would be an exponent in the equation.
Category: Homework Help
Help me show how an exponential relationship would appear when plotted?
Help me show how an Exponential relationship would appear when plotted on a linear graph paper and on a semi-log graph paper
Answer: On semi-log paper an exponential function takes on the appearance of a vertical line.
On linear paper it looks like the graph that I just uploaded.
Click on the following link:
http://i369.photobucket.com/albums/oo133/gerryrains/yequalthreetothex.jpg
.
Category: Mathematics
FrequencyReducesDifficulty | Agile Zone
If you have this kind of Exponential relationship, then if you do it more frequently, you can drastically reduce the pain. And this is what happens with Continuous Integration - by integrating every day, the pain of integration ...
relationship between frequency and length linear or exponential?
we did this pendulum lab and when I graphed my results, they looked exponential as they had a very slight curve but it could be linear. So basically is the relationship linear or exponential.
What is the formula for it?
Answer: exponential (frequency is reverse proportional to a square root of a pendulum length)
http://en.wikipedia.org/wiki/Pendulum
Category: Physics
I have to do a "math story" for algebra 1, does anyone know what an Exponential relationship is?
Answer: Check out these sites. They should help.
Category: Mathematics
Is this an exponential relationship?
A picture frame includes a border the picture must be smaller in area than the entire frame. This table shows http://i373.photobucket.com/albums/oo180/skins97144/Figure4-1.jpg the relationship between the picture area and the frame. Is this an Exponential relationship? How come?
Answer: It's not an Exponential relationship. The relationship is actually quadratic.
The formula is
y=(x-3)(x-2)
which becomes
y=x^2-5x+6
Category: Mathematics
Describe the relationship between exponential functions and ...
State at least 2 similarities and 2 differences between logarithmic and ...
