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- SOCR EduMaterials AnalysisActivities MLR …t. However, SOCR Multiple Linear Regression allows one or more independent variables. In the linear model, the error is assumed to follow a standard normal dis… ** Scatter plots of the dependent vs. independent variables7 KB (1126 words) - 17:08, 24 September 2012
- SOCR EduMaterials Activities NormalDistribution *'''Exercise 1:''' Does it matter if the variables are random or chosen when using the normal distribution? Why or why not?3 KB (446 words) - 19:16, 11 May 2008
- SOCR Courses 2007 2008 Stat13 1 Lab2 There are two random variables (X,Y ), one parameter (p) for the coin, and the probability distribution t…2 KB (254 words) - 04:21, 1 April 2008
- SOCR EduMaterials FunctorActivities Bernoulli Distributions …''' Use SOCR to graph and print the MGF of the distribution of a geometric random variable with <math> p=0.2, p=0.7 </math>. What is the shape of this fun… …how that the MGF of the sum of <math>n</math> independent Geometric Random Variables with success probability <math> p </math> is the same as the MGF of the Ne…2 KB (392 words) - 06:28, 9 January 2008
- SOCR EduMaterials Activities Binomial PGF …''' Use SOCR to graph and print the PGF of the distribution of a geometric random variable with <math> p=0.1, p=0.8 </math>. What is the shape of this fun… …how that the PGF of the sum of <math>n</math> independent Geometric Random Variables with success probability <math> p </math> is the same as the MGF of the Ne…2 KB (369 words) - 18:36, 9 January 2008
- SOCR EduMaterials Activities ExpCarTimeExperiment …ne trial will be executed that involves sampling k random exponential time variables (representing the between car times). The results will be displayed graphi… …ram of the between-car times and theoretical Exponential distribution, the random sample of between-car times (Y column of left table) and the similarity be…7 KB (1028 words) - 02:03, 21 January 2008
- AP Statistics Curriculum 2007 EDA DataTypes ===Types of Variables=== …ariables, but we need to analyze frequencies of occurrence for qualitative variables.4 KB (608 words) - 18:49, 28 June 2010
- AP Statistics Curriculum 2007 EDA Statistics Variables can be summarized using statistics. ** Random variables are always denoted by capital letters (e.g., ''X, Y, U, W'', etc.) and spe…3 KB (400 words) - 18:59, 28 June 2010
- AP Statistics Curriculum 2007 Distrib MeanVar The Expected Value, Expectation or Mean, of a discrete random variable X is defined by <math>E[X]=\sum_x{xP(X=x)}.</math> The expectation of a continuous random variable Y is analogously defined by <math>E[Y]=\int{yP(y)dy}</math>, wher…13 KB (2145 words) - 15:00, 21 May 2015
- AP Statistics Curriculum 2007 StudentsT …ppose ''X''<sub>1</sub>, ..., ''X''<sub>''n''</sub> are independent random variables that are Normally distributed with expected value μ and variance &sigma… …eer from a herd during the seasonal round-up. He measured the weight of a random sample of 102 reindeer in the herd, and found the sample mean and standard…7 KB (1002 words) - 00:24, 11 March 2011
- SOCR Events May2008 * Collect, record, organize, and display a set of data with at least two variables * Determine whether the relationship between two variables is approximately linear or nonlinear by examination of a scatter plot7 KB (1060 words) - 15:57, 25 April 2008
- SOCR Events May2008 C6 S1 …Define simple [[AP_Statistics_Curriculum_2007_Distrib_RV | discrete random variables]]===1 KB (176 words) - 23:49, 8 February 2008
- SOCR Events May2008 C8 S1 …ain sample spaces and probability distributions for simple discrete random variables=== …lum_2007_Distrib_MeanVar#Examples | means and variances of discrete random variables]]===1 KB (178 words) - 00:34, 9 February 2008
- SOCR Events July2008 * Collect, record, organize, and display a set of data with at least two variables * Determine whether the relationship between two variables is approximately linear or nonlinear by examination of a scatter plot8 KB (1035 words) - 22:01, 24 July 2008
- AP Statistics Curriculum 2007 Distrib Multinomial …eneral Advance-Placement (AP) Statistics Curriculum]] - Multinomial Random Variables and Experiments== Since each diagonal entry is the variance of a binomially distributed random variable, the [[AP_Statistics_Curriculum_2007_Distrib_MeanVar#Properties_o…9 KB (1322 words) - 01:41, 17 April 2013
- EBook:Print versions :[[ EBook/Random Variables|Random Variables]] = Random Variables =10 KB (1248 words) - 21:56, 7 March 2008
- EBook/Print versions :[[ EBook/Random Variables|Random Variables]] = Random Variables =10 KB (1246 words) - 23:07, 7 March 2008
- SOCR Events July2008 C6 S1 …Define simple [[AP_Statistics_Curriculum_2007_Distrib_RV | discrete random variables]]===1 KB (158 words) - 23:18, 24 July 2008
- SOCR Events July2008 C8 S1 …ain sample spaces and probability distributions for simple discrete random variables=== …lum_2007_Distrib_MeanVar#Examples | means and variances of discrete random variables]]===1 KB (155 words) - 23:15, 24 July 2008
- SOCR Courses 2008 2009 Stat13 1 Lab2 …ns each die (green or red) involved in this experiment. Describe what each random variable represents.2 KB (311 words) - 02:19, 21 October 2008
- EBook Problems … How do we model the rest of the processes that are unpredictable and have random characteristics? …er observed measurements (responses or dependent variables). Both types of variables are associated with specific observational units (living beings, component…26 KB (3400 words) - 06:37, 14 December 2010
- EBook Problems GLM Corr A positive correlation between two variables X and Y means that if X increases, this will cause the value of Y to incre… …ecreases as stress levels increase. Suppose you were given this data for a random sample of 200 adults. If you calculated the Pearson coefficient of correla…20 KB (3359 words) - 07:33, 6 January 2009
- EBook Problems EDA Shape …ly voters in Los Angeles intend to vote for Mayor James. Suppose we take a random sample of 1000 likely Los Angeles voters. For every person in our sample w… From what kinds of variables sould a histogram be generated?3 KB (447 words) - 19:48, 8 January 2009
- EBook Problems EDA IntroDesign :''(b) When possible confounding variables have been ruled out. …os Angeles Times about Dr. Greschwind’s research, determine the response variables in the study.25 KB (4074 words) - 04:37, 26 October 2009
- SOCR Wiki Activities Project …| California Ozone data]], to render a 3D plot of 2 spatial and 1 altitude variables, or use the [[SOCR_Data_US_Elections_Counties2004| multivariate US populat… ====Random Rectangle Areas Activity====5 KB (805 words) - 00:25, 13 April 2011
- EBook Problems Distrib RV … EBook Problems Set]] - [[AP_Statistics_Curriculum_2007_Distrib_RV |Random Variables]]== In a litter of seven kittens, three are female. You pick two kittens at random. The probability model for the number of male kittens is:2 KB (274 words) - 23:40, 28 December 2008
- AP Statistics Curriculum 2007 Bayesian Prelim …ocess <math>\star</math>. If <math>X</math> and <math>Y</math> are random variables, we can say3 KB (475 words) - 18:32, 20 December 2010
- AP Statistics Curriculum 2007 Bayesian Gibbs …e of samples from the joint probability distribution of two or more random variables. The purpose of this sequence is to approximate the joint distribution, or…1 KB (160 words) - 21:17, 28 June 2010
- SOCR EduMaterials Activities General CI Experiment Let <math>X_1, X_2, \cdots, X_n</math> be a random sample from <math>N(\mu, \sigma)</math>. We know that <math>\bar X \sim N… … ''95% confidence interval'' for the population mean <math>\mu</math> if a random sample of n=16 of these iron rods has sample mean <math>\bar x=6 \ m</math…38 KB (5560 words) - 00:53, 1 June 2011
- SOCR Data LA Neighborhoods Data * Variables …diversity index measures the probability that any two residents, chosen at random, would be of different ethnicities. If all residents are of the same ethni…29 KB (1987 words) - 15:49, 29 April 2013
- SOCR Courses 2009 2010 Stat13 1 Lab2 …ns each die (green or red) involved in this experiment. Describe what each random variable represents.2 KB (311 words) - 05:55, 24 November 2009
- SOCR Events LAUSD Oct2013 …geometric, hypergeometric). Regression analysis. Explore relations between variables through scatterplots. Fit a straight line to data, compute intercept and s… **** Use random sampling to draw inferences about a population (e.g., [http://www.distribu…13 KB (1802 words) - 13:10, 18 October 2013
- SOCR Distributome Project … continuous processes, e.g., rolling a hexagonal (6-face) die or picking a random number in the range [0:1]. Most (but not all) probability mass, density an…7 KB (901 words) - 19:40, 6 April 2013
- SOCR Courses 2010 2011 Stat13 1 Lab2 …ns each die (green or red) involved in this experiment. Describe what each random variable represents.2 KB (321 words) - 16:49, 14 January 2011
- AP Statistics Curriculum 2007 MultivariateNormal …udy different associations (e.g., correlations) between real-valued random variables. In k-dimensions, a random vector <math>X = (X_1, \cdots, X_k)</math> is multivariate normally distri…6 KB (862 words) - 00:08, 22 July 2012
- EBook Problems MultivariateNormal …oil as shown. Suppose A, B, and C are modeled as independent normal random variables as …e first need to have the PDF of S. As a linear combination of three normal variables, S itself is normal, with parameters18 KB (2914 words) - 01:17, 25 January 2011
- AP Statistics Curriculum 2007 Chi-Square …]: The F distribution is distribution of two independent chi-square random variables, divided by their respective degrees of freedom [link to Fisher’s F, ANO…4 KB (601 words) - 17:13, 19 March 2019
- AP Statistics Curriculum 2007 Gamma *x is a random variable <br />'''Expectation''': The expected value of a gamma distributed random variable x is6 KB (853 words) - 17:40, 23 June 2012
- AP Statistics Curriculum 2007 Laplace *x is a random variable *x is a random variable6 KB (876 words) - 23:12, 23 July 2011
- SOCR Data CaliforniaLottery2011 …e drawn using mechanical machines] selecting sets of ball one at a time at random. * '''Variables''':89 KB (4686 words) - 18:35, 15 July 2011
- SOCR Courses 2011 2012 Stat13 1 Lab2 …ns each die (green or red) involved in this experiment. Describe what each random variable represents.2 KB (367 words) - 23:51, 24 January 2012
- SOCR Data NIPS InfantVitK ShotData The body density dataset includes the following 15 variables listed from left to right: * '''Index''': Index of the observation (random ordering within each group, group 1 followed by group 2)8 KB (621 words) - 23:33, 10 April 2012
- SOCR BivariateNormal JS Activity …ow how correlation influences the distribution of two normally-distributed variables. Demonstrate that when X and Y have joint bivariate normal distribution wi… * In general, when X and Y are jointly continuous random variables with a joint density \(ƒ_{X,Y}(x,y)\), if ''A'' and ''B'' (non-trivial) a…13 KB (2046 words) - 17:15, 1 May 2013
- SOCR Courses 2012 2013 Stat13 1 Lab2 …ns each die (green or red) involved in this experiment. Describe what each random variable represents.2 KB (367 words) - 01:53, 26 February 2013
- SOCR Events LAUSD Mar2013 **** Use random sampling to draw inferences about a population (e.g., [http://www.distribu… …3.0 Students demonstrate an understanding of the notion of discrete random variables by using them to solve for the probabilities of outcomes, such as the prob…11 KB (1597 words) - 21:52, 18 March 2013
- SOCR Distributome Game2 Probability mass/density functions describe the likelihood of random variables to take certain values. The [http://distributome.org/ Probability Distribu… …st shows an example of 4 randomly selected distributions and corresponding random samples of size 100 from each of these distributions.7 KB (1005 words) - 20:33, 6 April 2013
- SOCR ResamplingSimulation Docs …r controls for selection/generation of datasets, random samples, Inference variables and plots. Other very specific controls are localized geographically near … …nd visualize it with the action buttons present in the box containing that random sample. The user interface works best on computer browsers. Mobile browser…18 KB (2871 words) - 18:47, 17 February 2014
