Question 1

Which one of the following is not appropriate for studying the relationship between two quantitative variables?
A) Scatterplot
B) Bar chart
C) Correlation
D) Regression

Accepted Answer

A scatterplot, correlation, and regression are all appropriate methods for studying the relationship between two quantitative variables. A bar chart, however, is typically used for displaying and comparing the frequency or other measures for different categories or groups, making it less suitable for analyzing the relationship between two quantitative variables.

Question 2

Which one of the following is a variable that we usually put on the horizontal axis of a scatterplot?
A) y variable
B) explanatory variable
C) response variable
D) dependent variable

Accepted Answer

The explanatory variable is typically placed on the horizontal axis (x-axis) of a scatterplot, as it is used to explain or predict changes in the response variable.

Question 3

Which one of the following cannot be determined from a scatterplot?
A) a positive relationship
B) a negative relationship
C) a cause and effect relationship
D) a curvilinear relationship

Accepted Answer

A scatterplot can show positive, negative, and curvilinear relationships between variables by the pattern of the points plotted. However, it cannot determine a cause and effect relationship; it only indicates correlation, not causation.

Question 4

A scatterplot is a
A) one-dimensional graph of randomly scattered data.
B) two-dimensional graph of a straight line.
C) two-dimensional graph of a curved line.
D) two-dimensional graph of data values.

Accepted Answer

A scatterplot is a two-dimensional graph where each point represents a data value in the context of two variables, showing the relationship between them.

Question 5

Two variables have a positive association when
A) the values of one variable tend to increase as the values of the other variable increase.
B) the values of one variable tend to decrease as the values of the other variable increase.
C) the values of one variable tend to increase regardless of how the values of the other variable change.
D) the values of both variables are always positive.

Accepted Answer

A positive association between two variables means that as the value of one variable increases, the value of the other variable also tends to increase.

Question 6

Describe the type of association shown in the scatterplot below: 
A) Positive linear association
B) Negative linear association
C) Positive curvilinear association
D) Negative curvilinear association

Accepted Answer

The answer of Describe the type of association shown in...

Question 7

Describe the type of association shown in the scatterplot below: 
A) Positive linear association
B) Negative linear association
C) Positive curvilinear association
D) Negative curvilinear association

Accepted Answer

The answer of Describe the type of association shown in...

Question 8

Describe the type of association shown in the scatterplot below: 
A) Positive linear association
B) Negative linear association
C) Positive curvilinear association
D) Negative curvilinear association

Accepted Answer

The answer of Describe the type of association shown in...

Question 9

Describe the type of association shown in the scatterplot below: 
A) Positive linear association
B) Negative linear association
C) Positive curvilinear association
D) Negative curvilinear association

Accepted Answer

The answer of Describe the type of association shown in...

Question 10

Which of the following sets of variables is most likely to have a negative association?
A) the height of the son and the height of the father
B) the age of the wife and the age of the husband
C) the age of the mother and the number of children in the family
D) the age of the mother and the ability to have children

Accepted Answer

A negative association means that as one variable increases, the other tends to decrease. In option D, as the age of the mother increases, her biological ability to have children generally decreases, due to factors like reduced fertility and higher risks associated with pregnancy in older age. The other options typically show positive associations or no clear pattern of association.

Question 11

Which of the following sets of variables is most likely to have a negative association?
A) the number of bedrooms and the number of bathrooms in a house
B) the number of rooms in a house and the time it takes to vacuum the house
C) the age of a house and the cleanliness of the carpets inside
D) the size of a house and its selling price

Accepted Answer

The age of a house and the cleanliness of the carpets inside are likely to have a negative association because, generally, as a house gets older, its carpets may become less clean due to wear and tear, unless specific efforts are made to maintain or replace them.

Question 12

A scatterplot of geographic latitude (X) and average January temperature (Y) for 20 cities in the United States is given below. Is there a positive association or a negative association? Explain what such an association means in the context of this situation.

Accepted Answer

The answer of A scatterplot of geographic latitude (X) and...

Question 13

A scatterplot of y = height and x = left forearm length (cm) for 55 college students is given below. Is there a positive association or a negative association? Explain what this association means in the context of this situation.

Accepted Answer

The answer of A scatterplot of y = height and...

Question 14

The following plot shows the association between weight (pounds) and age (months) for 19 female bears. Write an interpretation of this plot. Is the association negative or positive? Linear or curvilinear? Are there any outliers?

Accepted Answer

The answer of The following plot shows the association between...

Question 15

A car salesman is curious if he can predict the fuel efficiency of a car (in MPG) if he knows the fuel capacity of the car (in gallons). He collects data on a variety of makes and models of cars. The scatterplot below shows the association between fuel capacity and fuel efficiency for a sample of 78 cars. Is the association negative or positive? Linear or curvilinear? Are there any outliers?

Accepted Answer

The answer of A car salesman is curious if he...

Question 16

In an attempt to model the relationship between sales price and assessed land value, a realtor has taken a simple random sample of houses recently sold in the area and obtained the following data (both are expressed in thousands of dollars). The scatterplot below shows the association between fuel capacity and fuel efficiency for a sample of 78 cars. Is the association negative or positive? Linear or curvilinear? Are there any outliers?

Accepted Answer

The answer of In an attempt to model the relationship...

Question 17

Which graph shows a pattern that would be appropriately described by the equation $\hat{y}$ = $b_{0}$ + $ b_{1}x$ ?
A) 
 
B) 
 
C) 
 
D)

Accepted Answer

The answer of Which graph shows a pattern that would...

Question 18

Which of the following can not be answered from a regression equation?
A) Predict the value of y at a particular value of x.
B) Estimate the slope between y and x.
C) Estimate whether the linear association is positive or negative.
D) Estimate whether the association is linear or non-linear

Accepted Answer

A regression equation, specifically a linear regression equation, is designed to model the relationship between two variables assuming a linear association. It does not provide information on the linearity or non-linearity of the association itself; it presumes linearity from the outset.

Question 19

A regression line is a straight line that describes how values of a quantitative explanatory variable (y) are related, on average, to values of a quantitative response variable (x).

Accepted Answer

A regression line is a straight line that describes how a quantitative response variable (y) is related, on average, to a quantitative explanatory variable (x), not the other way around.

Question 20

The equation of a regression line is called the regression equation.

Accepted Answer

The equation of a regression line, which predicts the dependent variable based on the independent variable(s), is indeed referred to as the regression equation.

Quiz 3: Relationships Between Quantitative Variables

Which one of the following is not appropriate for studying the relationship between two quantitative variables?

Which one of the following is a variable that we usually put on the horizontal axis of a scatterplot?

Which one of the following cannot be determined from a scatterplot?

A scatterplot is a

Two variables have a positive association when

Describe the type of association shown in the scatterplot below:

Describe the type of association shown in the scatterplot below:

Describe the type of association shown in the scatterplot below:

Describe the type of association shown in the scatterplot below:

Which of the following sets of variables is most likely to have a negative association?

Which of the following sets of variables is most likely to have a negative association?

A scatterplot of geographic latitude (X) and average January temperature (Y) for 20 cities in the United States is given below. Is there a positive association or a negative association? Explain what such an association means in the context of this situation.

A scatterplot of y = height and x = left forearm length (cm) for 55 college students is given below. Is there a positive association or a negative association? Explain what this association means in the context of this situation.

The following plot shows the association between weight (pounds) and age (months) for 19 female bears. Write an interpretation of this plot. Is the association negative or positive? Linear or curvilinear? Are there any outliers?

Which graph shows a pattern that would be appropriately described by the equation $\hat{y}$ = $b_{0}$ + $b_{1}x$ ?

Which of the following can not be answered from a regression equation?

A regression line is a straight line that describes how values of a quantitative explanatory variable (y) are related, on average, to values of a quantitative response variable (x).

The equation of a regression line is called the regression equation.

Quiz 3: Relationships Between Quantitative Variables

Which one of the following is not appropriate for studying the relationship between two quantitative variables?

Which one of the following is a variable that we usually put on the horizontal axis of a scatterplot?

Which one of the following cannot be determined from a scatterplot?

A scatterplot is a

Two variables have a positive association when

Describe the type of association shown in the scatterplot below:

Describe the type of association shown in the scatterplot below:

Describe the type of association shown in the scatterplot below:

Describe the type of association shown in the scatterplot below:

Which of the following sets of variables is most likely to have a negative association?

Which of the following sets of variables is most likely to have a negative association?

A scatterplot of geographic latitude (X) and average January temperature (Y) for 20 cities in the United States is given below. Is there a positive association or a negative association? Explain what such an association means in the context of this situation.

A scatterplot of y = height and x = left forearm length (cm) for 55 college students is given below. Is there a positive association or a negative association? Explain what this association means in the context of this situation.

The following plot shows the association between weight (pounds) and age (months) for 19 female bears. Write an interpretation of this plot. Is the association negative or positive? Linear or curvilinear? Are there any outliers?

Which graph shows a pattern that would be appropriately described by the equation y^\hat{y}y^​ = b0b_{0}b0​ + b1x b_{1}xb1​x ?

Which of the following can not be answered from a regression equation?

A regression line is a straight line that describes how values of a quantitative explanatory variable (y) are related, on average, to values of a quantitative response variable (x).

The equation of a regression line is called the regression equation.

Which graph shows a pattern that would be appropriately described by the equation $\hat{y}$ = $b_{0}$ + $b_{1}x$ ?