Create vector with increasing variance

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The hand drawn plot below shows residuals plotted against fitted values from a poisson regression.

How can I create two vectors, that when plotted, show the same pattern as in attached plot?

Note that it doesn't matter what the fitted values are (hence no scale).


Make the standard deviation of y an increasing function of x:

x <- runif(100, 0, 10)
y <- rnorm(100, 0, x)
plot(x,y)

How to generate Gaussian noise with certain variance in MATlab?, You can generate a vector or matrix of random numbers from a variety of distributions using The power of the noise signal is equivalent to the variance for the zero mean case (RMS How do i increase a figure's width/height only in latex? I would like to fill a vector<int> using std::fill, but instead of one value, the vector should contain numbers in increasing order after.. I tried achieving this by iterating the third parameter of the function by one, but this would only give me either vectors filled with 1 or 2 (depending of the position of the ++ operator).


Here is my try (translating the Stata code from http://www.econometricsbysimulation.com/2012/11/modeling-heteroskedasticity.html to R):

set.seed(123)

# Let's generate a sample data set that has heteroskedasticity in z.
z  <- runif(1000)*5

# This means the standard deviation on u is 18 plus 16*z (which has a mean of 2.5)
u  <-  ((18+16*z))*rnorm(1000)

# Plot
plot(z, u)

Is there any method to measure the variation of vectors?, However, when it comes to vector data, such as a set of wind direction and speed data, Now I have calculate the direction variance along the direct line between these two points, but How do i increase a figure's width/height only in latex? the question is "Create a vector of alla odd positive integers smaller than 100 in increasing order and save it into variable oods", but the size must be 1 50 Rik on 3 Apr 2020 Direct link to this comment


You can take a sequence, take sine of the sequence and multiply it by sequence itself.

a = seq(1:1000)
b = sin(a) * a
plot(b)

You will have a single vector which has an increasing variance. You can use it to create a time series or anything else you like.

Program for Variance and Standard Deviation of an array , Given an array, we need to calculate the variance and standard deviation of the elements of the array. Examples : Input : arr[] = [1, 2, 3, 4, 5] Output : Variance = 2​  x <- c (2, 7, 7, 4, 5, 1, 3) # Create example vector. The computation of the variance of this vector is quite simple. We just need to apply the var R function as follows: var( x) # Apply var function in R # 5.47619. var (x) # Apply var function in R # 5.47619. Based on the RStudio console output you can see that the variance of our example vector is 5.47619.


A linear model with non-constant variances, Various utility functions such as residuals to calculate residuals, AIC to As in the classical linear model, the vector of expectation values μ is  Ending vector value, specified as a real numeric scalar. k is the last value in the vector only when the increment lines up to exactly land on k.For example, the vector 0:5 includes 5 as the last value, but 0:0.3:1 does not include the value 1 as the last value since the increment does not line up with the endpoint.


Random Numbers from Normal Distribution with Specific Mean and , Create a vector of 1000 random values drawn from a normal distribution with a mean of 500 Calculate the sample mean, standard deviation, and variance. vector X 2Rp, we can decompose the marginal variance of Y as follows: var(Y) = var XE(YjX) + E Xvar(YjX): I If the population ishomoscedastic, var(YjX) does not depend on X, so we can simply write var(YjX) = ˙2, and we get var(Y) = var XE(YjX) + ˙2. I If the population isheteroscedastic, var(YjX) is a function ˙2(X) with expected value ˙2 = E


Lab 1, X is normally-distributed with mean μ and variance σ2 (denoted X∼N(μ,σ2)) if Create a vector called sample_means that has as its first element the means is that as you increase the amount of random draws the mean  To create a vector from a simple sequence of integers, for example, you use the colon operator (:) in R. The code 3:7 gives you a vector with the numbers 3 to 7, and 4:-3 creates a vector with the numbers 4 to –3, both in steps of 1. To make bigger or smaller steps …