Explanatory and Response Variables Quiz

Researchers are studying the effect of exercise frequency on heart health (excellent, fair, poor). People who exercise more often tend to have better heart health. What is the explanatory and response variable in this scenario?

• Explanatory: the people. Response: their heart health.

• Explanatory: the people. Response: how often they exercise.

• Explanatory: exercise frequency. Response: heart health (excellent, fair, poor).

• Explanatory: heart health (excellent, fair, poor). Response: exercise frequency.

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CCSS.HSS.IC.B.3

Which of the following pairs of variables demonstrates an explanatory-response relationship?

• Explanatory: number of hours studied. Response: amount of sleep the night before.

• Explanatory: number of miles driven. Response: amount of gasoline used.

• Explanatory: height of a plant. Response: type of soil used.

• Explanatory: age of a person. Response: number of books in a library.

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CCSS.HSS.ID.C.9

Does the likelihood of receiving homework depend on the day of the week for students at Lynn’s and Nathan’s schools?

• The likelihood of receiving homework does not depend on the day of the week at either school.

• The likelihood of receiving homework depends on the day of the week at both schools.

• The likelihood of receiving homework depends on the day of the week at Nathan’s school, but not at Lynn’s school.

• The likelihood of receiving homework depends on the day of the week at Lynn’s school, but not at Nathan’s school.

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CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

A scatterplot is most appropriate for which of the following situations?

• to display the test scores of all students in a class.

• to compare the average test scores of two different classes.

• to show how a student's test score changes over several years.

• to show the relationship between students' test scores and the number of hours they studied.

Tags

CCSS.8.SP.A.1

What can be inferred from the scatterplot of miles run during the week and time on race day for cross country runners?

• There is a positive association between miles run and race time.

• There is a negative association between miles run and race time.

• There is no association between miles run and race time.

• The scatterplot shows a perfect linear relationship.

Tags

CCSS.HSS.ID.B.5

Based on the scatterplot, what can you conclude about the association between farm size and asking price?

• There is a weak, negative, linear relationship between size and price. Larger farms tend to cost less while smaller farms tend to cost more. There do not appear to be any outliers.

• There is a strong, positive, linear relationship between size and price. Larger farms tend to cost more while smaller farms tend to cost less. There do not appear to be any outliers.

• There is a strong, positive, linear relationship between size and price. Larger farms tend to cost less while smaller farms tend to cost more. There do not appear to be any outliers.

• There is a weak, positive, nonlinear relationship between size and price. Larger farms tend to cost more while smaller farms tend to cost less. There do not appear to be any outliers.

Tags

CCSS.HSS.ID.B.5

A random sample of 100 children from 1st grade through 12th grade was selected from a large school district. A scatterplot shows the relationship to be roughly linear and the correlation for the relationship between height and weight was found to be 0.58. What is the interpretation of the correlation?

• There is not enough information to interpret the correlation.

• The linear relationship between height and weight for these students is weak and positive.

• The linear relationship between height and weight for these students is moderately strong and positive.

• The linear relationship between height and weight for these students is strong and positive.

Tags

CCSS.8.SP.A.3

A statistics teacher collects data from students and finds that the correlation between test scores and homework scores is 0.98. Which of the following is an incorrect conclusion about the relationship between test scores and homework scores?

• There is a strong relationship between homework scores and test scores.

• As homework scores increase, test scores tend to increase.

• An increase in homework scores causes test scores to increase.

• There is a positive relationship between homework scores and test scores.

Tags

CCSS.HSS.ID.C.9

The table shows the age (measured in years) and weight (measured in kilograms) for a random sample of 5 children aged from birth to 18. Calculate the correlation for these data.

• -0.895

• -0.998

• 0.998

• 0.895

Tags

CCSS.HSS.ID.C.8

The scatterplot displays the relationship between speed of a vehicle and fuel economy. The correlation is r = -0.992. Which of the following is correct?

• I only

• II only

• I and II

• I, II and III

Tags

CCSS.HSS.ID.C.8