Distributions of bivariate data questions require knowledge of the following topics: patterns in scatterplots, correlation and linearity, least squares regression line, residual plots, outliners,
transformations to achieve linearity.
Examples of AP Statistics multiple choice questions with distributions of bivariate data:
1.A residual plot:
a) displays residuals of the response variable versus the independent variable. b) displays residuals of the independent variable versus the response variable.
c) displays residuals of the independent variable versus residuals of the response variable. d) displays the independent variable versus the response variable. e) displays the response variable versus the dependent variable.
A residual plot displays residuals of the response variable versus the independent variable, so a) is the correct answer.
2. The height and the weight of 18 students were measured and a scatterplot of the measures is shown below.
If two pairs of measurements need to be removed from the set of 18, which of the choices shown below decreases
the coefficient of correlation the most?
a) S2 and S3 b) S2 and S5
c) S1 and S3 d) S1 and S2 e) S2 and S4
The points closest to the regression line improve correlation and result in a coefficient of correlation closer to a value of 1.
If we draw an approximation of the regression line, we find that the correlation coefficient
is decreased the most by removing S2 and S4.
3. Six hundred travelers have purchased airline tickets through the same travel agency.
The following table gives the two-way classification of their destination choices.
What is the joint relative conditional frequency for female travelers to Asia if the marginal row totals are fixed?
a) 53% b) 56% c) 58% d) 61% e) 63%
If the marginal totals are fixed, the joint relative conditional frequency is (62/111)*100 = 56%.