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Stats 221
Exam 2 Review
36
Other
Undergraduate 2
02/25/2009

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Term

Association

(Two-way Tables)

Definition
When the conditional distributions differ from the marginal distributions and from each other
Term
Central Limit Theorem
Definition
The sampling distribution of x-bar is approximately normal whenever the sample is large and random
Term
Conditional Distribution
Definition
The distribution of the vaules in a single row (or a single column) of a two way table
Term
Control Chart
Definition
A statistical tool for monitoring the input or output of a process
Term
Control Limits
Definition
μ-3σ/√n and μ+3σ/√n
Term
Correlation Coefficient
Definition
A measure of the strength of the linear relationship between 2 quantitative variables
Term
Disjoint Events
Definition
Events that cannot occur simultaneously
Term

Distribution of a Variable

(2)

Definition

A list of the possible values of a variable together with the frequency of the value

Probabilities can be given instead of frequencies

Term
Event
Definition
A single outcome or combination of outcomes from a random phenomenon
Term
Extrapolation
Definition
Predicting a Y-value for an X-value that is outside of the range of X-values used obtain the regression line
Term
Inference
Definition
Using results from a statistic to draw conclusions about the population
Term
Influential Observation
Definition
An observation that significantly alters the slope and Y-intercept of the regression equation
Term
Law of Large Numbers
Definition
The average (x-bar) of observed values in a sample will get closer and closer to μ as the sample size increases
Term
Laws of Probability
Definition
The basis for hypothesis testing and confidence interval estimation
Term
Least Squares Regression Line
Definition
The line with the smallest sum of squared residuals
Term
Marginal Distribution
Definition
The distribution of the values in the "total" row (of the "total" column) of a two-way table
Term
Mean of the Sampling Distribution of X-bar
Definition

The mean of all the sample means (x-bars) from all possible samples of size n from a population

Equal to μ

Term
μ
Definition

The mean of the population

The mean of the sampling distribution of x-bar

Term
No Association
Definition
When the conditionals of a two-way table equal the marginal distribution (and each other)
Term
Out-of-control Process
Definition
One sample mean outside of three standard deviations of x-bar or nine sample means in a row above or below the center line
Term
Probability of an Outcome
Definition
The proportion of times an outcome occurs in a very long series of repetitions
Term
r
Definition
Correlation coefficient
Term
r2
Definition
The percetage of total variation in Y explained by X
Term
Residual and the Equation to find it
Definition

The observed y minus the predicted y

y-(y-hat)

Term

Residual Plot and What It's Used for

Definition

A plot of X vs. the residuals

Used to figure out how well the regression line fits the data

Term
Sample Space
Definition
The list of all possible outcomes of a random phenomenon
Term
Sampling Distribution of X-bar
Definition
The distributions of all x-bars from all possible samples
Term
Simpson's Paradox
Definition
A condition leading to the misinterpretation of the direction of association between two variables caused by ignoring a third variable
Term
Simulation
Definition
Using random numbers to imitate chance behavior
Term
Slope
Definition
A measure of the average change in Y for every one unit increase in X
Term

Standard Deviation of X-bar

(Standard Deviation of the Sampling Distribution of X-bar)

Definition

The "average" amount that the statistic (x-bar) deviates from its associated parameter

σ/√n

Term
Sum of Squared Residuals (error)
Definition

The residuals are squared and added

SSE

Term
Total Variation in Y
Definition
The sum of the squared deviations of the Y observations about their mean (y-bar)
Term
Unbiased
Definition
When the mean of the statistic values equals the parameter that the statistic estimates
Term
Unexplained Variation
Definition
The sum of squared residuals
Term
What does the correlation coefficient never do?
Definition
Correlation doesn't imply causation
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