Linear Regression
Equations
Definitions
Interpretations
100

This value measures the direction and strength of the linear relationship between two quantitative variables.

What is r, the correlation?

100

This is the equation for a residual.

What is y - y-hat (observed - predicted)?
100

This is the size of a typical prediction error.

What is s?

100
This is the typical amount a value differs from the mean.

What is the standard deviation?

200
This graph shows the relationship between two quantitative variables measured on the same individuals.

What is a scatterplot?

200

This is the equation for the mean.

What is you sum all the observations and divide by the number of observations you have.

200

This is the fraction of the variation in the values of y that is accounted for by the linear model with x.

What is r2, the coefficient of determination?

200

This is the value in a distribution with p percent of obeservations lower than it.

What is the percentile?

300

This is the predicted amount y changes, when x changes by one unit.

What is the slope, b?

300

This is the midpoint of a distribution.

What is the median?

300

This is a type of variable that places an individual into one of several groups or categories.

What is a categorical variable?

300

This is the rule that tells how much data falls within 1, 2, and 3 sd on a normal curve.

What is the 68, 95, 99.7 rule?

400

This is the predicted value of y when x is 0.

What is the y-intercept, a?

400

This is the rule for determining outliers.

What is it if a value falls below Q1-1.5(IQR) or above Q3+1.5(IQR)?
400
A distribution has this quality if the right side of the graph is much longer than the left side.

What is skewed right?

400

These are the types of graphs that can be used for numerical data (list 4).

What are boxplots, histograms, dotplots, and stem and leaf plots?

500

This is the use of a regression line for prediction far outside the interval of values of the explanatory variable x used to obtain the line.

What is extrapolation?

500

This is the equation for a z-score.

What is z=(x-mean)/sd?

500

This is the five number summary.

What is Min, Q1, Med, Q3, Max?

500

These are the types of graphs that can be used to represent categorical data (list 3).

What are pie charts, bar graphs, and segmented bar graphs?