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  • SOCR EduMaterials Activities LawOfLargeNumbersExperiment
    …s be similar to the blue distribution graph and the green streak will seem random. The image below shows this: …t and validity of tossing coins repeatedly. In this experiment, two random variables are associated with this process. The first variable will be the proportio…
    4 KB (567 words) - 17:30, 18 December 2007
  • SOCR EduMaterials Activities RandomWalkExperiment
    == Random Walk Experiment == … variables is recorded in the first table on each update. Any of the three variables can be selected from the list box. The density and moments of the selected…
    4 KB (575 words) - 07:45, 25 May 2007
  • SOCR EduMaterials Activities RandomVariableExperiment
    == Random Variable Experiment == The experiment simulates a value of a random variable with a specified distribution. The value is recorded on each upda…
    7 KB (1031 words) - 02:21, 30 January 2008
  • SOCR EduMaterials Activities ProportionTestExperiment
    The experiment is to select a random sample of size ''n'' from the Bernoulli distribution with parameter ''p'',… Variables L and R denote the left and right endpoints of the confidence interval and…
    5 KB (813 words) - 02:43, 27 May 2007
  • SOCR EduMaterials Activities ProportionEstimateExperiment
    The experiment is to select a random sample of size ''n'' from the Bernoulli distribution with parameter ''p'',… Variables L and R denote the left and right endpoints of the confidence interval and…
    5 KB (739 words) - 07:53, 25 May 2007
  • Probability and statistics EBook
    … 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…
    31 KB (4243 words) - 15:39, 3 September 2014
  • SOCR EduMaterials Activities VarianceEstimateExperiment
    …ensity and the critical values of V are shown in blue in the second graph. Variables L and R denote the left and right endpoints of the confidence interval and…
    5 KB (746 words) - 05:39, 1 June 2007
  • SOCR EduMaterials AnalysisActivities SLR
    ** Scatter plots of the dependent vs. independent variables * Generate random data by clicking on the '''Random Example''' button.
    6 KB (911 words) - 19:24, 13 August 2012
  • AP Statistics Curriculum 2007 IntroVar
    …ase (AD) patients. The investigators made every attempt to control as many variables as possible. Yet, the demographic information they collected from the outc… * [[SOCR_EduMaterials_Activities_RNG | (Numeric Pseudo-Random) Data Generation]]
    5 KB (705 words) - 17:48, 31 March 2013
  • EBook Problems EDA Pics
    Two random samples were taken to determine backpack load difference between seniors a… A researcher has collected the following information on a random sample of 200 adults in the 40-50 age range:
    8 KB (1390 words) - 05:20, 25 January 2009
  • AP Statistics Curriculum 2007 IntroDesign
    …er observed measurements (responses or dependent variables). Both types of variables are associated with specific observational units (living beings, component… … inference on relationships and influences between controlled and observed variables.
    9 KB (1243 words) - 19:22, 28 December 2010
  • AP Statistics Curriculum 2007 IntroTools
    … our sample size is large enough. These weight and height measurements are random (i.e., we do not have repeated measurements of the same student or twin-me… …s/SOCR_Modeler.html SOCR Modeler] and [[SOCR_EduMaterials_Activities_RNG | Random Number Generation Activity]]
    8 KB (1214 words) - 15:54, 5 April 2013
  • AP Statistics Curriculum 2007 Prob Rules
    Suppose 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 (2177 words) - 15:46, 19 April 2013
  • AP Statistics Curriculum 2007 Distrib RV
    …lum_2007 | General Advance-Placement (AP) Statistics Curriculum]] - Random Variables and Probability Distributions== === Random Variables===
    14 KB (2166 words) - 18:44, 18 March 2016
  • AP Statistics Curriculum 2007 Distrib Binomial
    …nce-Placement (AP) Statistics Curriculum]] - Bernoulli and Binomial Random Variables and Experiments== A Bernoulli trial is an experiment whose dichotomous outcomes are random (e.g., "success" vs. "failure", "head" vs. "tail", +/-, "yes" vs. "no", et…
    8 KB (1170 words) - 18:21, 2 February 2011
  • AP Statistics Curriculum 2007 Distrib Dists
    …tistics Curriculum]] - Geometric, HyperGeometric, Negative Binomial Random Variables and Experiments== …lum_2007_Distrib_MeanVar | Expected Value]] of a geometrically distributed random variable ''X'' is <math>{1\over p}.</math> This is because [http://en.wiki…
    27 KB (4076 words) - 19:41, 23 June 2012
  • AP Statistics Curriculum 2007 Distrib Poisson
    … | General Advance-Placement (AP) Statistics Curriculum]] - Poisson Random Variables and Experiments== === Poisson Random Variables and Experiments===
    7 KB (1135 words) - 16:52, 3 February 2012
  • AP Statistics Curriculum 2007 Normal Std
    …| General Advance-Placement (AP) Statistics Curriculum]] - Standard Normal Variables and Experiments== …ltage.) Denote <math>X_i</math>={measured voltage for battery i} - this is random variable with mean of 0 and unitary variance. Assume the distribution of a…
    6 KB (845 words) - 16:34, 8 February 2012
  • AP Statistics Curriculum 2007 Normal Prob
    …ns (Suppose ''X'' denotes General and ''Z'' denotes Standard Normal Random Variables): ====Sums and averages of independent Normal random variables====
    9 KB (1377 words) - 15:54, 3 May 2013
  • AP Statistics Curriculum 2007 Normal Critical
    …ath>) and ''Z'' denotes Standard (<math>Z\sim N(0,1)</math>) Normal random variables): …stributed with a mean of $195 and a standard deviation of $20. If we ask a random college students from this population how much she spent on books this sem…
    4 KB (505 words) - 15:56, 3 May 2013
  • AP Statistics Curriculum 2007 Limits CLT
    … genome. After completing the sequencing of the genome, each lab selects a random segment of 1,000,000 base-pairs and counts the number of ATC codons in eve… …ny sum or average of (many) independent and identically-distributed random variables will tend to be distributed according to a particular ''Attractor Distribu…
    7 KB (1113 words) - 20:17, 28 June 2010
  • AP Statistics Curriculum 2007 Limits LLN
    … The graph panel in the middle will dynamically plot the values of the two variables of interest (''proportion of heads'' and ''difference of Heads and Tails''… …n.wikipedia.org/wiki/E_%28mathematical_constant%29 natural number e] using random sampling from [http://socr.ucla.edu/htmls/dist/ContinuousUniform_Distribut…
    6 KB (977 words) - 16:49, 17 February 2012
  • AP Statistics Curriculum 2007 Estim Proportion
    …istics_Curriculum_2007_Limits_Norm2Bin |sample average or Bernoulli random variables]]. When the sample size is small, the normal approximation may be inadequa…
    7 KB (1105 words) - 01:32, 11 March 2011
  • AP Statistics Curriculum 2007 Hypothesis Proportion
    …istics_Curriculum_2007_Limits_Norm2Bin |sample average or Bernoulli random variables]]. When the sample size is small, the normal approximation may be inadequa…
    6 KB (927 words) - 00:22, 24 April 2013
  • AP Statistics Curriculum 2007 Hypothesis Var
    For Normally distributed random variables, given <math>H_o: \sigma^2 = \sigma_o^2</math> vs. <math>H_1: \sigma^2 \no… * Example: A random sample of size 30 drawn from a Normal distribution has sample-variance <ma…
    6 KB (886 words) - 16:38, 1 May 2008
  • AP Statistics Curriculum 2007 Infer 2Means Dep
    …ious chapter we saw how to do significance testing in the case of a single random sample]]. Now, we show how to do hypothesis testing comparing two samples … …hat members of a pair are similar to each other with respect to extraneous variables.
    14 KB (2021 words) - 20:05, 17 June 2013
  • AP Statistics Curriculum 2007 GLM Corr
    …cations involve the analysis of relationships, if any, between two or more variables involved in the process of interest. We begin with the simplest of all sit… …ring around a line of multivariate data. The main relationship between two variables (''X, Y'') can be summarized by: <math>(\mu_X, \sigma_X)</math>, <math>(\m…
    14 KB (2016 words) - 14:49, 15 August 2016
  • AP Statistics Curriculum 2007 GLM MultLin
    …relations in bivariate designs. Now we extend that to any finite number of variables (multivariate case). …ship between one '''dependent''' variable ''Y'' and many '''independent''' variables ''X''<sub>''i''</sub>, ''i'' = 1, ..., ''p''. The multilinear regression m…
    23 KB (3584 words) - 00:02, 2 May 2013
  • AP Statistics Curriculum 2007 Contingency Indep
    …quare Test may also be used to assess independence and association between variables. …ngency table is to investigate the relationship between the row and column variables
    10 KB (1503 words) - 21:12, 28 June 2010
  • AP Statistics Curriculum 2007 MultiVar ANOVA
    …he multiple dependent variables, for various categories of the independent variables. There are several specific use-cases for MANOVA. …tegorical independent variables on group differences in a set of dependent variables.
    20 KB (3157 words) - 21:31, 2 March 2009
  • 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 variables
    7 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 &mu; 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 plot
    7 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 plot
    8 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

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