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Association (Two-way Tables) |
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Definition
When the conditional distributions differ from the marginal distributions and from each other |
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The sampling distribution of x-bar is approximately normal whenever the sample is large and random |
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The distribution of the vaules in a single row (or a single column) of a two way table |
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A statistical tool for monitoring the input or output of a process |
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A measure of the strength of the linear relationship between 2 quantitative variables |
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Events that cannot occur simultaneously |
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Distribution of a Variable
(2) |
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Definition
A list of the possible values of a variable together with the frequency of the value
Probabilities can be given instead of frequencies |
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A single outcome or combination of outcomes from a random phenomenon |
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Predicting a Y-value for an X-value that is outside of the range of X-values used obtain the regression line |
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Using results from a statistic to draw conclusions about the population |
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An observation that significantly alters the slope and Y-intercept of the regression equation |
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The average (x-bar) of observed values in a sample will get closer and closer to μ as the sample size increases |
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The basis for hypothesis testing and confidence interval estimation |
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Least Squares Regression Line |
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Definition
The line with the smallest sum of squared residuals |
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The distribution of the values in the "total" row (of the "total" column) of a two-way table |
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Mean of the Sampling Distribution of X-bar |
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Definition
The mean of all the sample means (x-bars) from all possible samples of size n from a population Equal to μ |
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The mean of the population The mean of the sampling distribution of x-bar |
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When the conditionals of a two-way table equal the marginal distribution (and each other) |
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One sample mean outside of three standard deviations of x-bar or nine sample means in a row above or below the center line |
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Probability of an Outcome |
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Definition
The proportion of times an outcome occurs in a very long series of repetitions |
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The percetage of total variation in Y explained by X |
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Residual and the Equation to find it |
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Definition
The observed y minus the predicted y y-(y-hat) |
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Residual Plot and What It's Used for |
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Definition
A plot of X vs. the residuals Used to figure out how well the regression line fits the data |
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Definition
The list of all possible outcomes of a random phenomenon |
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Sampling Distribution of X-bar |
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Definition
The distributions of all x-bars from all possible samples |
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Definition
A condition leading to the misinterpretation of the direction of association between two variables caused by ignoring a third variable |
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Using random numbers to imitate chance behavior |
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A measure of the average change in Y for every one unit increase in X |
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Standard Deviation of X-bar (Standard Deviation of the Sampling Distribution of X-bar) |
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Definition
The "average" amount that the statistic (x-bar) deviates from its associated parameter σ/√n |
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Sum of Squared Residuals (error) |
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Definition
The residuals are squared and added SSE |
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Definition
The sum of the squared deviations of the Y observations about their mean (y-bar) |
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When the mean of the statistic values equals the parameter that the statistic estimates |
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The sum of squared residuals |
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What does the correlation coefficient never do? |
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Definition
Correlation doesn't imply causation |
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