Deck 4: Describing the Relation Between Two Variables

Question 1

Write the word or phrase that best completes each statement or answers the question.
Construct a scatter diagram for the data.

Answer 1

Question 2

Choose the one alternative that best completes the statement or answers the question.
Make a scatter diagram for the data. Use the scatter diagram to describe how, if at all, the variables are related.

Answer 2

A

Question 3

The scatter diagram shows the relationship between average number of years of education and births per woman ofchild bearing age in selected countries. Use the scatter plot to determine whether the statement is true or false.
There is a strong positive correlation between years of education and births per woman.

Answer 3

A

Question 4

Write the word or phrase that best completes each statement or answers the question.
Construct a scatter diagram for the data.

Question 5

Write the word or phrase that best completes each statement or answers the question.
Construct a scatter diagram for the data.

Question 6

Use the scatter diagrams shown, labeled a through f to solve the problem.
In which scatter diagram is r = 1

Question 7

Write the word or phrase that best completes each statement or answers the question.
Construct a scatter diagram for the data.

Question 8

Choose the one alternative that best completes the statement or answers the question.
Make a scatter diagram for the data. Use the scatter diagram to describe how, if at all, the variables are related.

Question 9

Write the word or phrase that best completes each statement or answers the question.
Construct a scatter diagram for the data.

Question 10

Write the word or phrase that best completes each statement or answers the question.
Construct a scatter diagram for the data.

Question 11

Use the scatter diagrams shown, labeled a through f to solve the problem.

Question 12

Write the word or phrase that best completes each statement or answers the question.
Construct a scatter diagram for the data.

Question 13

The scatter diagram shows the relationship between average number of years of education and births per woman ofchild bearing age in selected countries. Use the scatter plot to determine whether the statement is true or false.
There is no correlation between years of education and births per woman.

Question 14

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
A college counselor wants to determine if the number of hours spent studying for a test can be used to predict the grades on a test. Identify the predictor variable and the response variable.

Question 15

Write the word or phrase that best completes each statement or answers the question.
Construct a scatter diagram for the data.

Question 16

Write the word or phrase that best completes each statement or answers the question.
Construct a scatter diagram for the data.

Question 17

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
An agricultural business wants to determine if the rainfall in inches can be used to predict the yield per acre on a wheat farm. Identify the predictor variable and the response variable.

Question 18

Choose the one alternative that best completes the statement or answers the question.
The variable is the variable whose value can be explained by the variable.

A) response; predictor
B) response; lurking
C) lurking; response
D) predictor Response

Question 19

Use the scatter diagrams shown, labeled a through f to solve the problem.
In which scatter diagram is r = -1

Question 20

Choose the one alternative that best completes the statement or answers the question.
Make a scatter diagram for the data. Use the scatter diagram to describe how, if at all, the variables are related.

Question 21

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 22

Choose the one alternative that best completes the statement or answers the question.
Use the scatter diagrams shown, labeled a through f to solve the problem.
An instructor wishes to determine if there is a relationship between the number of absences from his class and a studentʹs final grade in the course. What is the predictor variable

A) Absences
B) Final Grade
C) The instructorʹs point scale for attendance
D) Studentʹs performance on the final examination

Question 23

Choose the one alternative that best completes the statement or answers the question.
Use the scatter diagrams shown, labeled a through f to solve the problem.
A traffic officer is compiling information about the relationship between the hour or the day and the speed over the limit at which the motorist is ticketed. He computes a correlation coefficient of 0.12. What does this tell the officer

A) There is a weak positive linear correlation.
B) There is a moderate positive linear correlation.
C) There is a moderate negative linear correlation.
D) There is insufficient evidence to make any conclusions about the relationship between the variables.

Question 24

Choose the one alternative that best completes the statement or answers the question.
Use the scatter diagrams shown, labeled a through f to solve the problem.
A researcher determines that the linear correlation coefficient is 0.85 for a paired data set. This indicates that there is

A) a strong positive linear correlation.
B) a strong negative linear correlation.
C) no linear correlation but that there may be some other relationship.
D) insufficient evidence to make any decision about the correlation of the data.

Question 25

Choose the one alternative that best completes the statement or answers the question.
Use the scatter diagrams shown, labeled a through f to solve the problem.
A medical researcher wishes to determine if there is a relationship between the number of prescriptions written by medical professionals, per 100, children and the childʹs age. She surveys all the pediatricianʹs in a geographical region to collect her data. What is the response variable

A) Age of the child
B) Number of prescriptions written
C) Pediatricians surveyed
D) 100 prescriptions

Question 26

Provide an appropriate response.

Question 27

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 28

Provide an appropriate response.

Question 29

Provide an appropriate response.

Question 30

The scatter diagram shows the relationship between average number of years of education and births per woman ofchild bearing age in selected countries. Use the scatter plot to determine whether the statement is true or false.
There is a strong negative correlation between years of education and births per woman.

Question 31

Choose the one alternative that best completes the statement or answers the question.
Use the scatter diagrams shown, labeled a through f to solve the problem.
Which scatter diagram indicates a perfect positive correlation

Question 32

Choose the one alternative that best completes the statement or answers the question.
Use the scatter diagrams shown, labeled a through f to solve the problem.
A history instructor has given the same pretest and the same final examination each semester. He is interested in determining if there is a relationship between the scores of the two tests. He computes the linear correlation coefficient and notes that it is 1.15. What does this correlation coefficient value tell the instructor

A) The history instructor has made a computational error.
B) There is a strong positive correlation between the tests.
C) There is a strong negative correlation between the tests.
D) The correlation is something other than linear.

Question 33

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 34

Provide an appropriate response.

Question 35

The scatter diagram shows the relationship between average number of years of education and births per woman ofchild bearing age in selected countries. Use the scatter plot to determine whether the statement is true or false.
There is a causal relationship between years of education and births per woman.

Question 36

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 37

Choose the one alternative that best completes the statement or answers the question.
Use the scatter diagrams shown, labeled a through f to solve the problem.
A doctor wishes to determine the relationship between a maleʹs age and that maleʹs total cholesterol level. He tests 200 males and records each maleʹs age and that maleʹs total cholesterol level. The males cholesterol level is the predictor variable

Question 38

Provide an appropriate response.

Question 39

Choose the one alternative that best completes the statement or answers the question.
Use the scatter diagrams shown, labeled a through f to solve the problem.
A scatter diagram locates a point in a two dimensional plane. The diagram locates the variable on the horizontal axis and the variable on the vertical axis.

A) predictor; response
B) response; predictor
C) response; study
D) study; predictor

Question 40

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 41

Explain the Difference between Correlation and Causation .Provide an appropriate response.
A variable that is related to either the response variable or the predictor variable or both, but which is excluded from the analysis is a

A) lurking variable.
B) random variable.
C) discrete variable.
D) qualitative variable.

Question 42

Write the word or phrase that best completes each statement or answers the question.
For a random sample of 100 American cities, the linear correlation coefficient between the number of robberies last year and the number of schools in the city was found to be r = 0.725. What does this imply Does this suggest that building more schools in a city could lead to more robberies Why or why not What is a likely lurking variable

Question 43

Provide an appropriate response.

Question 44

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 45

Provide an appropriate response.

Question 46

Provide an appropriate response.

Question 47

Write the word or phrase that best completes each statement or answers the question.
A random sample of 200 men aged between 20 and 60 was selected from a certain city. The linear correlation coefficient between income and blood pressure was found to be r = 0.807. What does this imply Does this suggest that if a man gets a salary raise his blood pressure is likely to rise Why or why not What are likely lurking variables

Question 48

Write the word or phrase that best completes each statement or answers the question.

Question 49

Write the word or phrase that best completes each statement or answers the question.
For a random sample of 30 countries, the linear correlation coefficient between the infant mortality rate and the average number of cars per capita was found to be r = -0.717. What does this imply Does this suggest that if people buy more cars, this could lower the infant mortality rate Why or why not What is a likely lurking variable

Question 50

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 51

Provide an appropriate response.

Question 52

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 53

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 54

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 55

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 56

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 57

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 58

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 59

Provide an appropriate response.

Question 60

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.

Question 61

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 62

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 63

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 64

Choose the one alternative that best completes the statement or answers the question.
A residual is the difference between

A) the observed value of y and the predicted value of y.
B) the observed value of x and the predicted value of x.
C) the observed value of y and the predicted value of x.
D) the observed value of x and the predicted value of y.

Question 65

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 66

Interpret the Slope and the y-intercept of the Least-Squares Regression Line

Question 67

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 68

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 69

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 70

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 71

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 72

Choose the one alternative that best completes the statement or answers the question.
The least squares regression line

A) minimizes the sum of the residuals squared.
B) maximizes the sum of the residuals squared.
C) minimizes the mean difference between the residuals squared.
D) maximizes the mean difference between the residuals squared.

Question 73

Choose the one alternative that best completes the statement or answers the question.

Question 74

Write the word or phrase that best completes each statement or answers the question.

Question 75

Write the word or phrase that best completes each statement or answers the question.

Question 76

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 77

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 78

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 79

Find the Least-Squares Regression Line and Use the Line to Make Predictions

Question 80

Write the word or phrase that best completes each statement or answers the question.