Organizing Data
This measure of center is more resistant to outliers than the mean.
What is the median?
observed y - predicted y
What is the residual?
This phrase is used to describe an observed effect so large that it would rarely occur by chance.
What is statistically significant?
This type of random variable requires a fixed number of trials.
What is a binomial random variable?
The type of significance test used for the mean of a single population when the standard deviation of the population is unknown.
What is a T test (or T procedure)?
To calculate, subtract the mean of the distribution from the observed x, then divide by the standard deviation.
What is the z-score (or standardized value)?
Measures the direction and strength of a linear relationship between two quantitative variables.
What is correlation (or r)?
randInt(1,9,3)
What is the calculator command for generating 3 random numbers from 1 to 9?
P(A|B)=P(A)
What are independent events?
The formula to calculate the one-sample z statistic.
What is z = (x_bar minus mu_o) divided by (sigma divided by the square root of n)?
This rule helps to determine if data is normally distributed by checking the number of observations within each interval.
What is the 68-95-99.7 rule?
The fraction of the variables in the values of y that is explained by the LSR of y on x.
What is the coefficient of determination (or r squared)?
This experimental design involves the random assignment of units to treatments which are carried out separately within each group of units known to be similar in some way that is expected to affect the responses.
What is block design?
Events that have no outcomes in common and can never occur simultaneously, for which the addition rule is used.
What are disjoint events (or mutually exclusive events)?
The conditions to use this test include all expected counts be greater than or equal to 1 and no more than 20% of all the expected counts be less than 5.
What is the goodness of fit (or chi-square) test?
The square of the standard deviation.
What is the variance?
Outliers do not affect these values
What is a resistant measure?
The 3 basic principles of experimental design.
What are control, randomize, and replicate?
The condition involving the population size that must be satisfied to use sigma divided by the square root of n as the standard deviation of a sampling distribution.
What is 'the population is at least 10 times the sample size'?
Two of the conditions to be verified for inference about a proportion.
What are the population size be greater than or equal to 10n and n times p hat & n times (1 - p hat) be greater than or equal to 10? (SRS could also be one of the two)
This calculator command can be used to find the area under a normal distribution and above an interval.
What is normalcdf?
Describes the average error when using a linear equation to predict the response variable y using the explanatory variable x.
The standard deviation of the residuals (or s)
The five steps of a simulation.
What are state/describe the problem, state assumptions, assign digits, simulate repetition, and state the conclusion?
The formula to determine the variance for a discrete random variable with three possible values.
What is sigma sub x squared = (the square of the difference between x sub 1 and mu multiplied by p sub 1) + (the square of the difference between x sub 2 and mu multiplied by p sub 2) + (the square of the difference between x sub 3 and mu multiplied by p sub 3) ?
b +/- t*SE sub b
What is the confidence interval for slope beta of a true regression line?