Standard Deviation
Variability from the mean in a dataset
Percentile
Percentage of values below or equal to a specific value
z-score
Value in standard deviations from the mean
Describe a distribution
Address shape, center, variability, and outliers in context
Residual
Difference between actual and predicted values
y-intercept
Predicted value when x-context is zero
Slope
Rate of change in predicted y-context per unit change in x-context
Standard Deviation of Residuals (s)
Typical distance of actual values from predicted values
Coefficient of Determination
Percentage of variation explained by a regression line
Describe the relationship (Scatterplot)
Address strength, direction, form, and unusual features in context
Probability
Proportion of times an event occurs after many trials
Conditional Probability
Probability of an event given another event has occurred
Expected Value (Mean)
Average value expected from a random process
Binomial Mean
Average number of successes in a fixed number of trials
Binomial Standard Deviation
Variability of successes in a fixed number of trials
Standard Deviation of Sample Proportions ()
Variability of sample proportions from true proportions
Standard Deviation of Sample Means ()
Variability of sample means from true means
Confidence Interval (A, B)
Range where true parameter is likely to lie with a certain confidence level
Confidence Level
Percentage of confidence intervals that capture the true parameter
p-value statement
Probability of observing a result as extreme as the sample, given a hypothesis
Conclusion for a Significance Test
Decision based on comparing p-value with significance level
Type 1 Error
Incorrectly rejecting a true null hypothesis
Type II Error
Failing to reject a false null hypothesis
Power
Probability of correctly rejecting a false null hypothesis
Standard Error of the Slope
Variability of sample slope from population slope
Parameter Statement for X2
Interest in proportions in a two-way table
Interpretation for a Confidence Interval for β
Confidence in capturing the true slope of a regression line