In a study of streams in the Adirondack Mountains, the following relationship was found between the water's pH and its hardness (measured in grains). Is it appropriate to summarize the strength of association with a correlation?

The scatterplot is not linear; correlation is not appropriate.

The variables are not quantitative; correlation is not appropriate.

All the conditions for correlation are met.

The scatterplot as outliers; correlation is not appropriate.

A researcher studies high schools and finds a strong positive linear association between funding and math scores. Does this mean that wealthier schools have generally better mathematicians?

Yes, better funded school have generally better mathematicians.

No, funding does not cause good math ability in students.

No, better funded school do not have generally better mathematicians.

Yes, funding causes good math ability in students.

A researcher studies high schools and finds a strong positive linear association between funding and math scores. What is the most likely explanation for the strong correlation?

A misinterpretation of correlation.

Outliers that deviate from the overall pattern.

The correlation between Age and Income as measured on 120 people is r = 0.65. Explain if the following statement is justified: When Age increases, Income increases as well.

No, because this cannot be concluded from the correlation alone. There may be a nonlinear relationship or outliers.

Yes, because the correlation coefficient between Age and Income is positive.

No, because the correlation coefficient between Age and Income is positive.

No, because the correlation coefficient between Age and Income is negative.

Yes, because the correlation coefficient between Age and Income is negative.

The correlation between Age and Income as measured on 120 people is r = 0.65. Explain if the following statement is justified: The form of the relationship between Age and Income is straight.

No, because the form of the relationship cannot be determined from the correlation.

No, because the correlation coefficient is not equal to 0.

No, because the absolute value of the correlation coefficient is not equal to 1.

Yes, because the correlation coefficient is close to 1.

Yes, because the absolute value of the correlation coefficient is equal to 1.

The correlation between Age and Income as measured on 120 people is r = 0.65. Explain if the following statement is justified: Whether we measure Age in years or months, the correlation will still be 0.65.

Yes, because correlation depends on the z-scores, and they are unaffected by changes in center or scale.

No, because changing the units used for Age changes the correlation coefficient.

No, because correlation depends on z-scores, and they are affected by changes in center or scale.

Yes, because only changing the units used for Income changes the correlation coefficient.

Medical researchers followed 1435 middle-aged men for a period of 5 years, measuring the amount of Baldness present (none = 1, little = 2, some = 3, much = 4, extreme = 5) and presence of Heart Disease (No = 0, Yes = 1). They found a correlation of 0.089 between the two variables. comment on their conclusion that this shows baldness is not a possible cause of heart disease.

Even though it is represented by numbers, this is categorical data and not suitable for correlation.

This is quantitative data, but correlation does not imply causation so the researchers cannot make this claim.

The correlation of 0.089 is low. Their conclusion is incorrect.

The correlation of 0.089 is low. Their conclusion is correct.

The scatterplot of the housing cost index versus the median family income for 10 states is shown on the right. The correlation is 0.665. Which of the following best describes the relationship between the housing cost index and median family income by state?

There is a moderate positive linear association with a few outliers.

There is a moderate negative linear association with a few outliers.

There is a strong association but it is not linear.

The scatterplot of the housing cost index versus the median family income for 10 states is shown on the right. The correlation is 0.665. Another state has a housing cost index of 600 and a median income of $40,000. If this state was added to the data set, how would the correlation coefficient change?

The correlation would be lower.

The correlation would not change.

The correlation would change signs.

The correlation would be higher.

What is better about this scatterplot?

The relationship between position number and log of distance appears to be roughly linear.

The data values are all less than 10.

There is now a correlation between planet position and distance.

AP Stats Chapter 6 Practice Quiz

24 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the scatterplots shows no association?

2

3

none of these scatterplots

all of these scatterplots

1

Tags

CCSS.HSS.ID.B.5

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which scatterplot shows a negative association?

scatterplots 1 and 3

3

scatterplots 1 and 2

none of these scatterplots

1

Tags

CCSS.HSS.ID.B.5

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which scatterplot shows a linear association?

all of these scatterplots

none of these scatterplots

scatterplots 2 and 3

scatterplots 1 and 3

2

Tags

CCSS.HSS.ID.B.5

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which scatterplot shows a moderately, but not very, strong association?

scatterplots 2 and 3

scatterplots 1 and 3

2

3

none of these scatterplots

Tags

CCSS.HSS.ID.B.5

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which scatterplot shows a very, not just a moderately, strong association?

scatterplots 1 and 3

1

3

2

all of these scatterplots

Tags

CCSS.HSS.ID.B.5

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A ceramics factory can fire eight large batches of pottery a day. In order to better understand pieces breaking, the factory records the number of broken piece in each batch for 3 days and then creates a scatterplot shown. Make a histogram showing the distribution of the number of problem pieces in the 24 batches of pottery examined.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What aspect of the company's problem is more apparent in the scatterplot?

The constant relationship between batch number and broken pieces.

The negative, somewhat linear relationship between batch number and broken pieces.

The positive, somewhat linear relationship between batch number and broken pieces.

There is not relationship between batch number and broken pieces.

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AP Stats Chapter 6 Practice

Which of the scatterplots shows no association?

Which scatterplot shows a negative association?

Which scatterplot shows a linear association?

Which scatterplot shows a moderately, but not very, strong association?

Which scatterplot shows a very, not just a moderately, strong association?

What aspect of the company's problem is more apparent in the scatterplot?

Which correlation matches the scatterplot shown?

Which correlation matches the scatterplot shown?

Which correlation matches the scatterplot shown?

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