AP Statistics
Scatterplots
Preliminary Questions for Bivariate
Data
What individuals do the data describe?
What exactly are the variables? How are they
measured?
Are the variables quantitative, or is at least one
categorical?
Does one variable cause the o

Residuals
Definition
Residual the difference between the
observed value of the response variable and
the value predicted by the regression line.
Residual = observed y predicted y
Residual = y y
Residual = error
Facts About Residuals
The mean of the res

AP Statistics
Correlation
Correlation
Correlation is a numerical summary. It measures the
strength and direction of a linear relationship between
two variables (x,y) denoted as r
Formula:
xi x yi y
1
r
n 1 sx s y
The correlation r is the average of t

AP Statistics
Coefficient of Determination
Facts About LSRL
Explanatory and response variables must be
clearly defined.
Facts About LSRL
The LSRL always passes through the centroid.
x,y
Facts About LSRL
Implications of the slope:
When r = 1 or -1, the p

AP STATISTICS NOTES CHAPTER 2
2.1 DENSITY CURVES AND THE NORMAL DISTRIBTION
The histogram to the right represents the final grades for Mr. Ls
Algebra classes.
1. What proportion of students had scores below 70?
2. What proportion of students had scores be

Chapter 5 Summarizing Bivariate Data
Objective: To be able to describe relationships between two numerical
values and assess the strength of that relationship.
5.1 Correlation
Scatterplots give a visual impression of how two values are related, but
this i