AP Statistics Practice Quiz: Representing the Relationship Between Two Quantitative Variables

Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026

Test your understanding with short quizzes. This quiz has 16 questions to check your progress.

Question 1 of 16

What type of graph is used to represent bivariate quantitative data by showing two numeric values for each observation?

A)HistogramB)Bar ChartC)ScatterplotD)Pie Chart

All Questions (16)

What type of graph is used to represent bivariate quantitative data by showing two numeric values for each observation?

A) Histogram

B) Bar Chart

C) Scatterplot

D) Pie Chart

Correct Answer: C

According to the provided content, a scatterplot is used to show two numeric values for each observation, one for the x-axis and one for the y-axis, which is characteristic of bivariate quantitative data.

A data set consisting of observations of two different quantitative variables is defined as:

A) Univariate data

B) Categorical data

C) A time series

D) Bivariate quantitative data

Correct Answer: D

The content explicitly states that 'A bivariate quantitative data set consists of observations of two different quantitative variables.'

In a scatterplot analysis, the variable that is used to explain or predict values of another variable is known as the:

A) Response variable

B) Explanatory variable

C) Dependent variable

D) Confounding variable

Correct Answer: B

The provided text defines an explanatory variable as the one 'used to explain or predict values of the response variable.'

Which of the following lists the four essential characteristics needed for a complete description of a scatterplot?

A) Mean, median, mode, and range

B) Slope, intercept, correlation, and causation

C) Form, direction, strength, and unusual features

D) Positive, negative, linear, and non-linear

Correct Answer: C

The content specifies that 'A description of a scatter plot includes form, direction, strength, and unusual features.'

If a scatterplot shows that as one variable increases, the other variable also tends to increase, how is the direction of the association described?

A) Negative

B) Positive

C) Linear

D) Strong

Correct Answer: B

The definition of a positive association is that 'as one variable increases, the other tends to increase.'

A researcher notes that as the price of a product increases, the number of units sold tends to decrease. This relationship is an example of:

A) A positive association

B) A non-linear form

C) A negative association

D) An unusual feature

Correct Answer: C

The content defines a negative association as one where 'as one [variable] increases, the other tends to decrease.'

When describing a scatterplot, the term that addresses whether the pattern of the points is straight or curved is the:

A) Direction

B) Strength

C) Form

D) Unusual Feature

Correct Answer: C

The 'form' of an association is described as being either linear (straight) or non-linear (curved).

A statistician observes that the points on a scatterplot are very tightly packed and closely follow a straight-line pattern. Which characteristic of the scatterplot is being described?

A) Direction

B) Strength

C) Form

D) Unusual Feature

Correct Answer: B

The 'strength' of an association describes how closely the points follow a pattern. Tightly packed points indicate a strong association.

Which of the following would be classified as an 'unusual feature' of a scatterplot?

A) A positive association

B) A linear form

C) A moderate strength

D) A distinct cluster of points separate from the main trend

Correct Answer: D

The provided content explicitly lists 'clusters' as an example of an unusual feature of a scatterplot.

A scatterplot shows that as the explanatory variable increases, the response variable tends to decrease. The points form a clear, straight-line pattern but are somewhat scattered. Which is the best description?

A) Strong, positive, non-linear

B) Moderate, negative, linear

C) Weak, negative, non-linear

D) Strong, negative, linear

Correct Answer: B

The direction is negative (one variable increases, the other decreases). The form is linear ('straight-line pattern'). The strength is moderate ('somewhat scattered,' not tightly packed or widely dispersed).

The 'direction' of an association in a scatterplot can be described as:

A) Strong or weak

B) Linear or non-linear

C) Positive or negative

D) Clustered or scattered

Correct Answer: C

The content states that 'The direction of association in a scatterplot can be positive or negative.'

If the relationship between two quantitative variables is described as 'weak,' what does this imply about the scatterplot?

A) The points are tightly clustered around a line.

B) The points form a distinct curve.

C) The points do not closely follow a discernible pattern.

D) The points show a negative association.

Correct Answer: C

Strength is defined as how closely points follow a pattern. A weak association means the points are scattered and do not follow a pattern closely.

An analyst provides the following description of a scatterplot: 'The data show a strong, linear relationship.' According to the requirements for a full description, what is missing?

A) Form and Strength

B) Strength and Direction

C) Direction and Unusual Features

D) Form and Unusual Features

Correct Answer: C

The description includes strength ('strong') and form ('linear'). It is missing the direction (positive or negative) and a comment on any unusual features (or the lack thereof).

In a study to see if a car's weight can predict its fuel efficiency (miles per gallon), which variable is the response variable?

A) The car's weight, as it is used for prediction.

B) The fuel efficiency, as it is the variable being predicted.

C) Both are response variables.

D) Neither is a response variable.

Correct Answer: B

The explanatory variable (car's weight) is used to predict the values of the response variable (fuel efficiency). Therefore, fuel efficiency is the response.

A point on a scatterplot that has a large residual is considered to be:

A) An indicator of a strong, linear form

B) A defining characteristic of a positive association

C) An unusual feature

D) The explanatory variable

Correct Answer: C

The content explicitly states that 'Unusual features of a scatter plot include clusters or points with large residuals.'

Which of the following pairs of variables can be represented in a scatterplot?

A) Eye color and gender

B) A person's height and their annual income

C) Favorite type of music and state of residence

D) The distribution of letter grades in a class

Correct Answer: B

A scatterplot represents bivariate quantitative data. Height and annual income are both quantitative variables. The other options involve categorical variables.