Chapter 2 Review Correlation Practice

4

Scattered

No direction

Positive

Linear

Negative

Weak

Curved

Moderate

Strong

Obavezno

4

Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.
Use the scatterplot from #1, interpret(explain) the relationship between speed and average # of accidents.

As speed increases, the number of accidents slightly increases.

There is no relationship between speed and the number of accidents.

As speed increases, the number of accidents strongly decreases.

As speed increases, the number of accidents slightly decreases.

As speed increases, the number of accidents strongly increases.

Obavezno

4

Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.
Use the scatterplot from #1:
1. What are the three conditions that need to be met to calculate the correlation coefficient (r)?
2. is it appropriate to calculate the correlation coefficient?
Select all four answers:

Obavezno

4

Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.
Use the information above (already entered in statsmedic.com/applets)
Calculate the correlation coefficient (r).
Round your answer to three places past the decimal.

Obavezno

4

Obavezno

4

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.
Use the scatterplot created in #5.
Interpret/explain the relationship between year and time for the men's 1500m run.

As the years increase the 1500 meter run time decreases.

As the years increase the 1500 meter run time increases.

As the years increase the 1500 meter run time does not appear to change.

Obavezno

4

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.
Using the scatterplot created in #5, is it appropriate to calculate the correlation coefficient?

Obavezno

4

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.
Calculate the correlation coefficient in statsmedic.com/applets.
Enter the correlation coefficent, round to three places past the decimal if needed.

Obavezno

4

Obavezno

4

The same group of 10 adults were studied, their heights and weights were recorded in the table below.
Using the scatterplot created in #9, is it appropriate to calculate the correlation coefficient?
Why or why not

Obavezno

4

If a group of data has a correlation coefficient of -0.875, what does this tell you about the description of the scatterplot?
It will be...

Obavezno

4

If a group of data comparing grades and hours studied has a correlation coefficient of 0.452, what does this tell your about the relationship?

As hours studied increases, the grades increase moderately.

As hours studied increases, the grades don't change much.

As hours studied increases, the grades increase strongly.

As hourse studied increases, the grades decrease slightly.

As hours studied increases, the grades decrease strongly.

Obavezno

4

Your friend conducts a study and reports: 'I have found a strong correlation between eye color and gender'.
Is this statement true or false?
Explain why.
Select both correct answers.

False

He did a study, evaluated his data and observed a correlation based on his scatterplot.

Correlation can only be found between quantitative variables, he observed an association.

True

Obavezno

4

Identify what is wrong with each of the following statements.
Match each statement to the reason why it is incorrect.
There will be one left over reason.

Stavka koja se može prevući		Odgovarajuća stavka
		Correlation does not have units, it is an r value only.
The correlation between Olympic Gold Medal times for the 800 m hurdles and year is -0.66 seconds per year.		Correlation values are only from -1.0 to +1.0, they will never be outside that range.
The correlation between Olympic gold medal times for the 100 m dash and year is -1.37.		Changing the x & y axis for the scatterplot does not change the correlation coefficient. The correlation remains the same.
Since the correlation between Olympic gold medal times for the 800 m hurdles and 100 m dash is -0.41, the correlation between 100 m dash times and the 800 m hurdles is +0.41.		The correlation coefficient does not change if different units are used. It is not affected by scaling or shifting.
If we were to measure Olympic gold medal times for the 800 m hurdles in minutes instead of seconds the correlation would be -0.66/60 = -0.011.		Correlation coefficients cannot be negative.

Obavezno

4

Select the scatterplot that shows a STRONG relationship between x and y,
yet has a correlation coefficient of r=0.
A. B. C. D.

D

C

A

B

Obavezno

4

A study by a prominent psychologist found a moderately strong positive association between the number of hours of sleep a person gets and the person's ability to memorize information.
What does this positive association mean?

An increase in the number of hours of sleep a person gets causes them be able to memorize information better.

There could be a lurking variable, not measured, that is related to both the number of hours of sleep and the ability to memorize information.

An increase in the number of hours of sleep is associated with an increased ability to memorize information.

An increase in the number of hours of sleep causes a decreased ability to memorize information.

An increase in the number of hours of sleep is associated with a decreased ability to memorize information.

Obavezno

4

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.
Does this mean cell phones are good for your health?

Obavezno

4

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.
What might explain the strong correlation?
What might be the lurking variable? (what is in the background causing both to increase?)

Obavezno

4

Use the following graphs to answer the question:
Which plot shows a relationship that is approximately linear?

2, 3 and 4

1 only

2 and 4 only

2 only

Obavezno

4

Use the following graphs to answer the question:
Which plots show a relationship that is very strong?

2 and 3 only

2 only

3 only

1 and 4 only

4

Use the following graphs to answer the question:
Which plot shows a relationship that is negative?

3 only

1 and 4 only

2 and 3 only

2 only

4

Use the following graphs to answer the question:
Which plot shows a relationship that has a correlation near zero?

2 only

1 only

1 and 3 only

2 and 3 only

4

Use the following graphs to answer the question:
Which plot shows a moderately strong association?

1 only

2 and 3 only

4 only

1 and 4 only

Obavezno

4

Suppose you were to collect data for the variables altitude and temperature when climbing mountains.
Which would be the explanatory variable?
Which would be the response variable?
What form, direction and strength do you think you would observe?

Explanatory = temperature

Positive, weak to moderate, possibly linear

Positive, strong, possibly linear

Negative, strong, possibly linear

Explanatory = altitude

Response = temperature

Negative, weak to moderate, possibly linear

Response = altitude

Obavezno

4

Suppose you were to collect data for the variables distance and time delay when predicting how far away a lightening strike occurred.
Which would be the explanatory variable?
Which would be the response variable?
What form, direction and strength do you think you would observe?

4

Use the following four graphs, match each graph to the corresponding correlation coefficient (r).

Stavka koja se može prevući		Odgovarajuća stavka
c		0.006
d		0.777
		-0.923
a		-0.487
b		0.936

Chapter 2 Review Correlation Practice

Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.Use the scatterplot from #1, interpret(explain) the relationship between speed and average # of accidents.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.Use the scatterplot created in #5.Interpret/explain the relationship between year and time for the men's 1500m run.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.Using the scatterplot created in #5, is it appropriate to calculate the correlation coefficient?

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.Calculate the correlation coefficient in statsmedic.com/applets. Enter the correlation coefficent, round to three places past the decimal if needed.

The same group of 10 adults were studied, their heights and weights were recorded in the table below.Using the scatterplot created in #9, is it appropriate to calculate the correlation coefficient?Why or why not

If a group of data has a correlation coefficient of -0.875, what does this tell you about the description of the scatterplot?It will be...

If a group of data comparing grades and hours studied has a correlation coefficient of 0.452, what does this tell your about the relationship?

Your friend conducts a study and reports: 'I have found a strong correlation between eye color and gender'.Is this statement true or false?Explain why.Select both correct answers.

Identify what is wrong with each of the following statements.Match each statement to the reason why it is incorrect.There will be one left over reason.

Select the scatterplot that shows a STRONG relationship between x and y, yet has a correlation coefficient of r=0. A. B. C. D.

A study by a prominent psychologist found a moderately strong positive association between the number of hours of sleep a person gets and the person's ability to memorize information.What does this positive association mean?

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.Does this mean cell phones are good for your health?

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.What might explain the strong correlation?What might be the lurking variable? (what is in the background causing both to increase?)

Use the following graphs to answer the question:Which plot shows a relationship that is approximately linear?

Use the following graphs to answer the question:Which plots show a relationship that is very strong?

Use the following graphs to answer the question:Which plot shows a relationship that is negative?

Use the following graphs to answer the question:Which plot shows a relationship that has a correlation near zero?

Use the following graphs to answer the question:Which plot shows a moderately strong association?

Suppose you were to collect data for the variables altitude and temperature when climbing mountains.Which would be the explanatory variable?Which would be the response variable?What form, direction and strength do you think you would observe?

Suppose you were to collect data for the variables distance and time delay when predicting how far away a lightening strike occurred.Which would be the explanatory variable?Which would be the response variable?What form, direction and strength do you think you would observe?

Use the following four graphs, match each graph to the corresponding correlation coefficient (r).

Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.Use the scatterplot from #1, interpret(explain) the relationship between speed and average # of accidents.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.Use the scatterplot created in #5.Interpret/explain the relationship between year and time for the men's 1500m run.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.Using the scatterplot created in #5, is it appropriate to calculate the correlation coefficient?

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.Calculate the correlation coefficient in statsmedic.com/applets. Enter the correlation coefficent, round to three places past the decimal if needed.

A group of 10 adults were studied, their heights and weights were recorded in the table below.Enter the data into statsmedic.com/applets.Create a scatterplot using Ht. as the Xlist and weight as the Ylist.Describe the relationship between height and weight for this group of adults.

The same group of 10 adults were studied, their heights and weights were recorded in the table below.Using the scatterplot created in #9, is it appropriate to calculate the correlation coefficient?Why or why not

If a group of data has a correlation coefficient of -0.875, what does this tell you about the description of the scatterplot?It will be...

If a group of data comparing grades and hours studied has a correlation coefficient of 0.452, what does this tell your about the relationship?

Your friend conducts a study and reports: 'I have found a strong correlation between eye color and gender'.Is this statement true or false?Explain why.Select both correct answers.

Identify what is wrong with each of the following statements.Match each statement to the reason why it is incorrect.There will be one left over reason.

Select the scatterplot that shows a STRONG relationship between x and y, yet has a correlation coefficient of r=0. A. B. C. D.

A study by a prominent psychologist found a moderately strong positive association between the number of hours of sleep a person gets and the person's ability to memorize information.What does this positive association mean?

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.Does this mean cell phones are good for your health?

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.What might explain the strong correlation?What might be the lurking variable? (what is in the background causing both to increase?)

Use the following graphs to answer the question:Which plot shows a relationship that is approximately linear?

Use the following graphs to answer the question:Which plots show a relationship that is very strong?

Use the following graphs to answer the question:Which plot shows a relationship that is negative?

Use the following graphs to answer the question:Which plot shows a relationship that has a correlation near zero?

Use the following graphs to answer the question:Which plot shows a moderately strong association?

Suppose you were to collect data for the variables altitude and temperature when climbing mountains.Which would be the explanatory variable?Which would be the response variable?What form, direction and strength do you think you would observe?

Suppose you were to collect data for the variables distance and time delay when predicting how far away a lightening strike occurred.Which would be the explanatory variable?Which would be the response variable?What form, direction and strength do you think you would observe?

Use the following four graphs, match each graph to the corresponding correlation coefficient (r).

Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.
Use the scatterplot from #1, interpret(explain) the relationship between speed and average # of accidents.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.
Use the scatterplot created in #5.
Interpret/explain the relationship between year and time for the men's 1500m run.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.
Using the scatterplot created in #5, is it appropriate to calculate the correlation coefficient?

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.
Calculate the correlation coefficient in statsmedic.com/applets.
Enter the correlation coefficent, round to three places past the decimal if needed.

The same group of 10 adults were studied, their heights and weights were recorded in the table below.
Using the scatterplot created in #9, is it appropriate to calculate the correlation coefficient?
Why or why not

If a group of data has a correlation coefficient of -0.875, what does this tell you about the description of the scatterplot?
It will be...

Your friend conducts a study and reports: 'I have found a strong correlation between eye color and gender'.
Is this statement true or false?
Explain why.
Select both correct answers.

Identify what is wrong with each of the following statements.
Match each statement to the reason why it is incorrect.
There will be one left over reason.

Select the scatterplot that shows a STRONG relationship between x and y,
yet has a correlation coefficient of r=0.
A. B. C. D.

A study by a prominent psychologist found a moderately strong positive association between the number of hours of sleep a person gets and the person's ability to memorize information.
What does this positive association mean?

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.
Does this mean cell phones are good for your health?

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.
What might explain the strong correlation?
What might be the lurking variable? (what is in the background causing both to increase?)

Use the following graphs to answer the question:
Which plot shows a relationship that is approximately linear?

Use the following graphs to answer the question:
Which plots show a relationship that is very strong?

Use the following graphs to answer the question:
Which plot shows a relationship that is negative?

Use the following graphs to answer the question:
Which plot shows a relationship that has a correlation near zero?

Use the following graphs to answer the question:
Which plot shows a moderately strong association?

Suppose you were to collect data for the variables altitude and temperature when climbing mountains.
Which would be the explanatory variable?
Which would be the response variable?
What form, direction and strength do you think you would observe?

Suppose you were to collect data for the variables distance and time delay when predicting how far away a lightening strike occurred.
Which would be the explanatory variable?
Which would be the response variable?
What form, direction and strength do you think you would observe?

Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.
Use the scatterplot from #1, interpret(explain) the relationship between speed and average # of accidents.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.
Use the scatterplot created in #5.
Interpret/explain the relationship between year and time for the men's 1500m run.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.
Using the scatterplot created in #5, is it appropriate to calculate the correlation coefficient?

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.
Calculate the correlation coefficient in statsmedic.com/applets.
Enter the correlation coefficent, round to three places past the decimal if needed.

A group of 10 adults were studied, their heights and weights were recorded in the table below.
Enter the data into statsmedic.com/applets.
Create a scatterplot using Ht. as the Xlist and weight as the Ylist.
Describe the relationship between height and weight for this group of adults.

The same group of 10 adults were studied, their heights and weights were recorded in the table below.
Using the scatterplot created in #9, is it appropriate to calculate the correlation coefficient?
Why or why not

If a group of data has a correlation coefficient of -0.875, what does this tell you about the description of the scatterplot?
It will be...

Your friend conducts a study and reports: 'I have found a strong correlation between eye color and gender'.
Is this statement true or false?
Explain why.
Select both correct answers.

Identify what is wrong with each of the following statements.
Match each statement to the reason why it is incorrect.
There will be one left over reason.

Select the scatterplot that shows a STRONG relationship between x and y,
yet has a correlation coefficient of r=0.
A. B. C. D.

A study by a prominent psychologist found a moderately strong positive association between the number of hours of sleep a person gets and the person's ability to memorize information.
What does this positive association mean?

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.
Does this mean cell phones are good for your health?

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.
What might explain the strong correlation?
What might be the lurking variable? (what is in the background causing both to increase?)

Use the following graphs to answer the question:
Which plot shows a relationship that is approximately linear?

Use the following graphs to answer the question:
Which plots show a relationship that is very strong?

Use the following graphs to answer the question:
Which plot shows a relationship that is negative?

Use the following graphs to answer the question:
Which plot shows a relationship that has a correlation near zero?

Use the following graphs to answer the question:
Which plot shows a moderately strong association?

Suppose you were to collect data for the variables altitude and temperature when climbing mountains.
Which would be the explanatory variable?
Which would be the response variable?
What form, direction and strength do you think you would observe?

Suppose you were to collect data for the variables distance and time delay when predicting how far away a lightening strike occurred.
Which would be the explanatory variable?
Which would be the response variable?
What form, direction and strength do you think you would observe?