# Items tagged with statisticsstatistics Tagged Items Feed

### I am try to plot an interpolated plot of 3d data...

July 10 2014
1 3

Suppose i have an mx3 matrix M containing a 3D data where 1,2,3 columns are x,y,z coordinates.

Here is what i tried,

Statistics:-SurfacePlot(M[..,1],M[..,2],M[..,3]) does not produce what i want.

plots:-surfdata(M) plots what i want but only works when i use subset of the data for all the data it just hangs.

Statistics:-ScatterPlot3D(M, lowess, fitorder = 2) produces a smoothened version but i want the interpolated plot.

### Stem and Leaf Plot...

July 04 2014 Maple
1 0

Following @acer 's challenge to create some more examples for the Rosetta Code project, I've put together some code that constructs Stem-And-Leaf plots here.

I've also attached a new mathapp ( StemAndLeafDisplay.mw ) that contains the code as well as an interactive example for Stem-Plots. This MathApp is also viewable online at the following mobius project page.

This older post may also be of interest for anyone looking to make a stem and leaf plot with decimals.

### how to plot tail of normal distribution?...

June 27 2014
0 1

how to plot tail of normal distribution

would like to see the shape of tail of distribution

### Problem with ExponentialFit - residualsumofsquares...

June 04 2014
1 8

> with(Statistics);
> X := Vector([1, 2, 3, 4, 5, 6, 7], datatype = float);
> Y := Vector([155625, 172472, 179589, 186579, 205421, 214989, 237937], datatype = float);
> ExponentialFit(X, Y, x, output = residualsumofsquares);

Result by Maple: 0.00216641200893470318
But a real result is 8.159611742*10^7

Please, can anybody help me? Thank you.

### cross correlation of log-normal pdfs...

June 03 2014
0 8

Please I want to know how to solve this integration.

int(exp(-(ln(y)-2*sigma^2)^2/(8*sigma^2))/(y*sqrt(8*Pi*sigma^2))*exp(-(ln(y+z)-2*sigma^2)^2/(8*sigma^2))/((y+z)*sqrt(8*Pi*sigma^2)), y = 0 .. infinity)

### June Live Webinars...

June 02 2014 Maple
2 0

Maplesoft regularly hosts live webinars on a variety of topics. Below you will find details on some upcoming webinars we think may be of interest to the MaplePrimes community.  For the complete list of upcoming webinars, visit our website.

Bring Statistics Education to Life!

This exciting new webinar will demonstrate some of the ways that educators can take advantage of Maple’s symbolic and numeric approach for statistics education. Examples will include basic statistics theory including descriptive statistics such as measures of central tendency and spread, hypothesis testing, as well as discrete and continuous random variables.

Many examples presented in this webinar will be taken from the new Student Statistics package that was introduced in Maple 18. The Student Statistics was designed with classroom use in mind, and features detailed explanations and instructions, interactive demonstrations, and visualizations, all of which are great learning tools for teaching a course involving probability and statistics.

Symbolic Computing for Engineering

As engineering applications become more complex, it is becoming increasingly difficult to satisfy the often-conflicting project constraints using traditional tools. As a result, we’ve found there is a growing interest within the engineering community for tools that make engineering calculations transparent and capture not just results but also the knowledge and analysis used throughout the engineering workflow. Engineering organizations are achieving this goal by making symbolic techniques an integral part of their tool set.

In this webinar, Laurent Bernardin will demonstrate how to enhance the early-stage design phase by making mathematical computations explicit and transparent, and then integrating the results into an existing tool chain.

### How to calculate the rms deviation from the mean o...

April 08 2014
0 13

Hi everybody,

I have never done statistics in Maple.  In a simple calculation, I need to calculate the RMS of 55 numbers.  The average of those numbers is 100484.3 and it is given that the RMS is 1.28 counts.  I have the a list of the 55 numbers.  Since I don't need a demonstration, it would help me a lot if you could tell me how to load the data from a *.txt file (one number per line), and use the appropriate commands to obtaine the result that is only given.

For the moment, I only need the steps to proceed with the calculations and how to do it in Maple.

```--------------------------------------
Mario Lemelin```
```Maple 18 Ubuntu 13.10 - 64 bitsMaple 18 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987```

### Using ErrrorPlot and ExponentialFit...

March 08 2014
0 5

I am interested in using both in the same graph. And I am aware that i can drag from one to the other manually, but I am interesseted in doing it in a command.

So i have 3 vectors a, b and an error.

I can define ExponentialFit function based on a and b, and the plotting both observations, errors and the fitted function.

Per Kirkegaard

### Statistics question ...

November 20 2013
1 5

I have a statistics task that is very complicated to me, and I would really appretiate some help!

I believe that I have completed task a, but task b and c seems to be too hard for me to grasp.

Here is a presentation of the task text:

xi 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
yi 12.3 12.8 16.8 17.9 20.5 22.7 24.9 27.5 26.9 29.4 30.3 34.2 36.4 36.7 41.1

Assume that the data represents independent realizations of a "linearlnormal" model.

Yi = α + β xi + ei i = 1..15,

where ei˜N(0,σ), where sigma is unknown.

(a) create a scatterplot of the data {f(xi,yi)}15 ; i=1
Then calculate the empiric correlation coefficient.

(b) Find the minimum least square estimate for α & β.

(c) Create a 95% confidence interval for the parameter β. What does this confidence interval express?

Is there anyone out there who are able to help me with some maplecode?

Soeta

### Distance between random points...

October 18 2013
0 0

The question was "Let X be the random variable uniformly distributed in the disk centered at the origin O(0,0) with radius 1 and let Y be the random variable uniformly distributed in the square having its vertices A(6,-1), B(9,-2), C(8,-5), and E(5,-4). What is the PDF of the distance between X and Y? Is it possible to find that with Maple?"
Having a long think about the topic, I draw the conclusion that the exact closed form of the PDF/CDF, even the one can be found, would be useless because of its complexity.
Thus, an approximate formula for the CDF/PDF under consideration is a proper way. That formula can be derived in such a way. First,rotating the picture, we may consider the square having its sides horizontal or vertical: K((1/5)*sqrt(1410)-(1/2)*sqrt(10),1/sqrt(10)), L((1/5)*sqrt(1410)+(1/2)*sqrt(10),1/sqrt(10), M((1/5)*sqrt(1410)+(1/2)*sqrt(10),1/sqrt(10)-sqrt(10)), Q((1/5)*sqrt(1410)-(1/2)*sqrt(10),1/sqrt(10)-sqrt(10)). The geometry behind that is omitted.
We randomly choose a point P1 belonging to the square [-1,1] x [-1.1]. If the one belongs to the disk {(x,y):x^2+y^2 <=1}, then we randomly choose a point P2 from the square [K,L] x [Q,L]. Next, we calculate the distance between P1 and P2 (The  LinearAlgebra[Norm] command http://www.maplesoft.com/support/help/Maple/view.aspx?path=LinearAlgebra/Norm is used to this end.) and add it to the set S.This is repeated 2*10^4 times.

Converting S to an Array A, we constuct the empirical distribution X by A and find its mean mu and standard deviation sigma.

7.67568900820260

1.029831470

Let us compare the obtained empirical distribution and the normal distribution with the parameters mu and sigma.

The plot suggests a good fit between these. However, it is only semblance. Applying the Kolmogorov-Smirnov test (for example, see  http://www.mapleprimes.com/posts/119903-The-KolmogorovSmirnov-Test
), we  calculate

and

3.32619143372726

while the critical value equals 1.358098639 at the level 0.05. Thus, the hypothesis about the concordance should be rejected.

Also we draw the approximation to the PDF:

CDF.mw

### Missing a linegraph plot for Statistics...

August 07 2013
0 11

Dear Maple users

The Statistics package contain a Histogram command which can produce a linegraph (or what you call it). Ex:

with(Statistics):

A:=[3,5,7,2,11,2,1,10,6,15]:

Histogram(A,discrete)

It will calculate the frequency of each of the outcomes as they appear in the list and will plot them accordingly:

### how to draw it correctly...

June 23 2013
0 2

would like to draw the pdf, however after tried two methods, still can not draw it,

how to draw?

l := [binomial(349,20), binomial(349,8),binomial(349,22),binomial(349,38),binomial(349,49),binomial(349,36),

binomial(349,59),binomial(349,41),binomial(349,32),binomial(349,21),binomial(349,23)];

sl := gfun[listtoseries](l, x, egf);

g := convert(sl, ratpoly);

g := g - subs(x=0, g);

### Predict team win statistics...

June 11 2013
0 0

if you have four teams a b c and d playing in a tournament and teams a and d have not played each other but all other teams have played .. typing this from my phone but its not too friendly ...  soccer scores how would you determine who would win and by what score

### Student-T Inverse...

June 02 2013
1 3

I need to integrate the Student-T function which is a function of two variables (nu and t). Maple allows me to use this function through this command:

with(Statistics);

PDF(RandomVariable(StudentT(nu)),t);

The integration of this function gives me the probability (p) of certain event (nu is already known):

p=Int(Student,t=-infinity..X)

If I provide the value of X I can compute the integral easily, now the problem appears when I want to...

### why beta distribution is just a straight line...

June 01 2013
0 4

as i do not know what is nu and omega in beta distribution, can i solve it by equating with mean of real data's mean and stardard derivation, to find nu and omega, but solution of nu is negative,

i guess this method may be wrong, as result diagram is not fitted with real data

and weibull using this method, can not be solved and said solution lost

what is the correct way to draw it?

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