Chapter 2 Partner Test

Last updated almost 2 years ago

23 questions

Note from the author:

Instructions

Required

1

Required

1

Required

1

Required

1

Required

1

Required

1

Required

1

Required

1

Required

2

Required

2

Required

4

Required

1

Required

1

Required

1

Required

4

Required

1

Required

1

Required

4

Required

4

Required

2

Required

2

Required

4

Required

8

Library

Chapter 2 Partner Test

Last updated almost 2 years ago

23 questions

Note from the author:

This will be done with a partner and open notes. 

Instructions

This will be done with a partner and open notes. 

Required

1

Required

1

Required

1

Required

1

Required

1

Required

1

Required

1

Required

1

Required

2

Required

2

What is the slope of the least-squares regression line for this data?
(check information in #9)
Make sure to include units since this is a rate.
The units to choose from are: degrees Celsius and meters

Required

4

Using information from #9, interpret the slope in context.
Hint: make sure you check your notes 2.5 and 2.6

Make sure to include units since this is a rate.
The units to choose from are: degrees Celsius and meters

Required

1

Using information in #9, predict the distance to the nearest fish if the water was 25 degrees Celsius.
Round your answer to two places past the decimal.
Make sure to use units in your answer.

Required

1

Using the information in #9 & 12, find the residual for the distance to the nearest fish when the water was 25 degress Celsius.
Residual = _______ 

THEN: Interpret the residual regarding if you over or under predicted.

This means the model...  _______  

Required

1

Draggable item		Corresponding Item

Required

4

Describe the relationship between Soda and Hours Slept in a complete sentence.
Use DOFS.
Ex. The relationship between...

Required

1

Required

1

Use the information from #14.
What is the y-intercept of the least-squares regression line for this data?
Hint: the equation is already shown for you.
Be sure to include units, keep all the places past the decimal point.

Required

4

Use the value from #17, interpret the y-intercept in the context of the problem.

Hint: check your notes 2.5 & 2.6

Required

4

Interpret the meaning of r-squared = 0.613 in this setting.

Hint: Notes from Lesson 2.6 & 2.7

Required

2

Required

2

Required

4

Using your answer to number 21 above, if there is an association, explain the relationship.
If there is no association then answer 'There does not appear to be an association'.

Required

8

Mrs. Nosal found some pull back cars and wanted to predict how far the cars could travel depending on the distance the car was pulled back from the start line before it was released.
To investigate this, she collected the following data:

Mrs. Nosal analyzed the data in statsmedic using a linear regression and a quadratic regression. She got the following outputs and residual plots:
Scatterplot:
Least Squares Regression Line:
Quadratic Regression:

In a paragraph answer: Which model is most appropriate and why?
Explain thoroughly. There are three things we have used to decide if a regression model is appropriate.
For full credit: when you explain your answer, make sure you describe what each thing tells about the regression equation.
Use complete sentences to explain your answer.

This will be done with a partner and open notes. 

This will be done with a partner and open notes. 

The correlation between the heights of fathers (x) and
the heights of their adult sons (y) is r = 0.89.
This tells us that...

taller than average fathers tend to have taller than average sons.

89% of all sons are taller than their fathers.

taller than average fathers tend to have shorter than average sons.

there is almost no connection between heights of fathers and sons.

The correlation between the heights of fathers (x) and
the heights of their adult sons (y) is r = 0.89.
This also tells us that...

The relationship between a father's height and the son's height is negative and strong.

there is almost no connection between heights of fathers and sons.

The relationship between a father's height and the son's height is positive and weak.

The relationship between a father's height and the son's height is negative and weak.

The relationship between a father's height and the son's height is positive and strong.

You would draw a segmented bar graph for one of the following...

to show the five-number summary for the heights of female students.

to determine if gender and favorite toy as a child are associated.

to show the distribution of heights of students in this course.

Consider a large number of countries around the world. There is a positive correlation between the number of laptops per 1000 people (x) and the average life expectancy (y).
r = 0.865
Does this mean that we could increase the life expectancy in Rwanda by shipping laptops to that country?

Yes: the positive correlation means that if we ship do more laptops we can expect an increase in life expectancy

Yes: the correlation says that as laptops go up, it causes life expectancy to go up.

No: the positive correlation just shows that richer countries have both more laptops and higher life expectancies. We don't know if there is causation.

No: if the correlation were negative we could accept that conclusion, but this correlation is positive.

The United Nations has data on the percent of adult males and females who are illiterate in 142 countries.
The correlation between male illiteracy rate and female illiteracy rate is r = 0.945. Think about what the scatter plot must look like.
This tells us that...

countries with high male illiteracy tend to also have high female illiteracy, and the relationship is very strong.

countries with high male illiteracy tend to have low female illiteracy, but the two are only weakly related.

countries with high male illiteracy tend to also have high female illiteracy, but the two are only weakly related.

countries with high male illiteracy tend to have low female illiteracy, and the relationship is very strong.

A study of the effects of television measured how many hours of television each of 125 grade school children watched per week during a school year and their reading scores.
Which variable would you put on the horizontal axis of a scatterplot of the data?

Reading score, because it is the explanatory variable.

Hours of television, because it is the response variable.

Hours of television, because it is the explanatory variable.

Reading score, because it is the response variable.

A scatterplot and a least-squares regression line are shown in the figure below.

If the point (20, 25) that is labeled A is removed from the data set, which one of the statements below is TRUE?
Hint: think about what outliers do to the slope and y-intercept.

The slope will decrease and the y-intercept will increase.

The slope will increase and the y-intercept will increase.

The slope will increase and the y-intercept will decrease.

The slope will decrease and the y-intercept will decrease.

A scatterplot of a set of data is shown below.

Which statement is true?

The least square regression line has a slope of zero.

The least square regression line has a positive slope.

There is no relationship between X and Y.

The least square regression line is not an appropriate model for this data.

The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at 4:51 p.m. Environmental researchers are concerned that fish are being driven away from the area around the plant. They believe that the temperature of the water discharged may be a factor. The data table below gives the temperature of the water released by the plant and the measured distance (in meters) from the outflow pipe of the plant to the nearest fish found in the water on several randomly chosen afternoons. A scatterplot of the data and the least-squares regression line are given.

Describe the relationship between the variables.

What is the slope of the least-squares regression line for this data?
(check information in #9)
Make sure to include units since this is a rate.
The units to choose from are: degrees Celsius and meters

Using information from #9, interpret the slope in context.
Hint: make sure you check your notes 2.5 and 2.6

Make sure to include units since this is a rate.
The units to choose from are: degrees Celsius and meters

Using information in #9, predict the distance to the nearest fish if the water was 25 degrees Celsius.
Round your answer to two places past the decimal.
Make sure to use units in your answer.

Using the information in #9 & 12, find the residual for the distance to the nearest fish when the water was 25 degress Celsius.
Residual = _______ 

THEN: Interpret the residual regarding if you over or under predicted.

This means the model...  _______  

A random sample of boarding school students was asked how many 8-ounce servings of soda they had consumed on a certain Sunday and how many hours of sleep they got that night. Their responses are displayed below.
Soda (# of servings): 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 6, 7, 7, 8, 10
Sleep (# of hours): 6, 8, 6, 7, 7, 5, 8, 6, 5, 3, 6, 4, 6, 3, 2

Use statsmedic.com/applets 2 quantitative variables to create and look at the scatterplot.

What did you use as the explanatory and response variables?

One answer will not be used.

Draggable item		Corresponding Item
Day of the week		Explanatory
Soda		Response
Sleep

Describe the relationship between Soda and Hours Slept in a complete sentence.
Use DOFS.
Ex. The relationship between...

From #14 & 15, identify if the variables are categorical or quantitative:

Soda
Sleep

Quantitative
Categorical

Use the information from #14.
What is the y-intercept of the least-squares regression line for this data?
Hint: the equation is already shown for you.
Be sure to include units, keep all the places past the decimal point.

Use the value from #17, interpret the y-intercept in the context of the problem.

Hint: check your notes 2.5 & 2.6

Interpret the meaning of r-squared = 0.613 in this setting.

Hint: Notes from Lesson 2.6 & 2.7

The value of s for this data is s = 1.17.
Interpret this value in the context of this situation and tell what we are looking for.
Pick two answers.

The residuals are typically 1.17 hours away from the predicted hours of sleep.

We want the s value to be the highest when looking at regression models.

We want the s value to be the lowest when looking at regression models.

The residuals are 1.17 standard deviations away from the mean hours of sleep for all the data values.

In a study of the relationship between the amount of violence a person watches on TV and the viewer's age, 81 regular TV watchers were randomly selected and classified according to their age group and whether they were a “low-violence” or “high-violence” viewer.
Below is a segmented bar graph.

For this sample, can we conclude there is an association between age group of the viewer and amount of violence watched?

How do you know? Select two answers.

We conclude this because there is a difference between the three segmented bar charts.

We conclude this because there is not a difference between the three segmented bar charts.

Yes, there appears to be an association between age group of the viewer and the amount of violence watched.

No, there does not appear to be an association between age group of the viewer and the amount of violence watched.

Using your answer to number 21 above, if there is an association, explain the relationship.
If there is no association then answer 'There does not appear to be an association'.

Mrs. Nosal found some pull back cars and wanted to predict how far the cars could travel depending on the distance the car was pulled back from the start line before it was released.
To investigate this, she collected the following data:

Mrs. Nosal analyzed the data in statsmedic using a linear regression and a quadratic regression. She got the following outputs and residual plots:
Scatterplot:
Least Squares Regression Line:
Quadratic Regression:

In a paragraph answer: Which model is most appropriate and why?
Explain thoroughly. There are three things we have used to decide if a regression model is appropriate.
For full credit: when you explain your answer, make sure you describe what each thing tells about the regression equation.
Use complete sentences to explain your answer.

The correlation between the heights of fathers (x) and 
the heights of their adult sons (y) is r = 0.89. 
This tells us that...

taller than average fathers tend to have taller than average sons.

89% of all sons are taller than their fathers.

taller than average fathers tend to have shorter than average sons.

there is almost no connection between heights of fathers and sons.

The correlation between the heights of fathers (x) and 
the heights of their adult sons (y) is r = 0.89. 
This also tells us that...

The relationship between a father's height and the son's height is negative and strong.

there is almost no connection between heights of fathers and sons.

The relationship between a father's height and the son's height is positive and weak.

The relationship between a father's height and the son's height is negative and weak.

The relationship between a father's height and the son's height is positive and strong.

You would draw a segmented bar graph for one of the following...

to show the five-number summary for the heights of female students.

to determine if gender and favorite toy as a child are associated.

to show the distribution of heights of students in this course.

Consider a large number of countries around the world. There is a positive correlation between the number of laptops per 1000 people (x) and the average life expectancy (y). 
r = 0.865
Does this mean that we could increase the life expectancy in Rwanda by shipping laptops to that country?

Yes: the positive correlation means that if we ship do more laptops we can expect an increase in life expectancy

Yes: the correlation says that as laptops go up, it causes life expectancy to go up.

No: the positive correlation just shows that richer countries have both more laptops and higher life expectancies. We don't know if there is causation.

No: if the correlation were negative we could accept that conclusion, but this correlation is positive.

The United Nations has data on the percent of adult males and females who are illiterate in 142 countries. 
The correlation between male illiteracy rate and female illiteracy rate is r = 0.945. Think about what the scatter plot must look like.
This tells us that...

countries with high male illiteracy tend to also have high female illiteracy, and the relationship is very strong.

countries with high male illiteracy tend to have low female illiteracy, but the two are only weakly related.

countries with high male illiteracy tend to also have high female illiteracy, but the two are only weakly related.

countries with high male illiteracy tend to have low female illiteracy, and the relationship is very strong.

A study of the effects of television measured how many hours of television each of 125 grade school children watched per week during a school year and their reading scores. 
Which variable would you put on the horizontal axis of a scatterplot of the data?

Reading score, because it is the explanatory variable.

Hours of television, because it is the response variable.

Hours of television, because it is the explanatory variable.

Reading score, because it is the response variable.

A scatterplot and a least-squares regression line are shown in the figure below. 


If the point (20, 25) that is labeled A is removed from the data set, which one of the statements below is TRUE?
Hint: think about what outliers do to the slope and y-intercept.

The slope will decrease and the y-intercept will increase.

The slope will increase and the y-intercept will increase.

The slope will increase and the y-intercept will decrease.

The slope will decrease and the y-intercept will decrease.

A scatterplot of a set of data is shown below. 

Which statement is true?

The least square regression line has a slope of zero.

The least square regression line has a positive slope.

There is no relationship between X and Y.

The least square regression line is not an appropriate model for this data.

The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at 4:51 p.m.  Environmental researchers are concerned that fish are being driven away from the area around the plant.  They believe that the temperature of the water discharged may be a factor. The data table below gives the temperature of the water released by the plant and the measured distance (in meters) from the outflow pipe of the plant to the nearest fish found in the water on several randomly chosen afternoons. A scatterplot of the data and the least-squares regression line are given.

Describe the relationship between the variables.

Moderate

There appear to be an(some) outlier(s).

Linear

Non-linear

Weak

Negative

Positive

No outliers

Strong

A random sample of boarding school students was asked how many 8-ounce servings of soda they had consumed on a certain Sunday and how many hours of sleep they got that night. Their responses are displayed below.
Soda (# of servings): 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 6, 7, 7, 8, 10
Sleep (# of hours): 6, 8, 6, 7, 7, 5, 8, 6, 5, 3, 6, 4, 6, 3, 2 


Use statsmedic.com/applets 2 quantitative variables to create and look at the scatterplot.

What did you use as the explanatory and response variables?

One answer will not be used.

Day of the week

Explanatory

Soda

Response

Sleep

From #14 & 15, identify if the variables are categorical or quantitative:

Soda

Sleep

Quantitative

Categorical

The value of s for this data is s = 1.17. 
Interpret this value in the context of this situation and tell what we are looking for. 
Pick two answers.

The residuals are typically 1.17 hours away from the predicted hours of sleep.

We want the s value to be the highest when looking at regression models.

We want the s value to be the lowest when looking at regression models.

The residuals are 1.17 standard deviations away from the mean hours of sleep for all the data values.

In a study of the relationship between the amount of violence a person watches on TV and the viewer's age, 81 regular TV watchers were randomly selected and classified according to their age group and whether they were a “low-violence” or “high-violence” viewer. 
Below is a segmented bar graph. 

For this sample, can we conclude there is an association between age group of the viewer and amount of violence watched? 

How do you know? Select two answers.

We conclude this because there is a difference between the three segmented bar charts.

We conclude this because there is not a difference between the three segmented bar charts.

Yes, there appears to be an association between age group of the viewer and the amount of violence watched.

No, there does not appear to be an association between age group of the viewer and the amount of violence watched.

Chapter 2 Partner Test

Chapter 2 Partner Test

What is the slope of the least-squares regression line for this data? (check information in #9)Make sure to include units since this is a rate. The units to choose from are: degrees Celsius and meters

Using information from #9, interpret the slope in context.Hint: make sure you check your notes 2.5 and 2.6Make sure to include units since this is a rate.The units to choose from are: degrees Celsius and meters

Using information in #9, predict the distance to the nearest fish if the water was 25 degrees Celsius.Round your answer to two places past the decimal.Make sure to use units in your answer.

Describe the relationship between Soda and Hours Slept in a complete sentence. Use DOFS.Ex. The relationship between...

Use the information from #14.What is the y-intercept of the least-squares regression line for this data? Hint: the equation is already shown for you.Be sure to include units, keep all the places past the decimal point.

Use the value from #17, interpret the y-intercept in the context of the problem.Hint: check your notes 2.5 & 2.6

Interpret the meaning of r-squared = 0.613 in this setting. Hint: Notes from Lesson 2.6 & 2.7

Using your answer to number 21 above, if there is an association, explain the relationship.If there is no association then answer 'There does not appear to be an association'.

The correlation between the heights of fathers (x) and the heights of their adult sons (y) is r = 0.89. This tells us that...

The correlation between the heights of fathers (x) and the heights of their adult sons (y) is r = 0.89. This also tells us that...

You would draw a segmented bar graph for one of the following...

Consider a large number of countries around the world. There is a positive correlation between the number of laptops per 1000 people (x) and the average life expectancy (y). r = 0.865Does this mean that we could increase the life expectancy in Rwanda by shipping laptops to that country?

The United Nations has data on the percent of adult males and females who are illiterate in 142 countries. The correlation between male illiteracy rate and female illiteracy rate is r = 0.945. Think about what the scatter plot must look like.This tells us that...

A study of the effects of television measured how many hours of television each of 125 grade school children watched per week during a school year and their reading scores. Which variable would you put on the horizontal axis of a scatterplot of the data?

A scatterplot and a least-squares regression line are shown in the figure below. If the point (20, 25) that is labeled A is removed from the data set, which one of the statements below is TRUE?Hint: think about what outliers do to the slope and y-intercept.

A scatterplot of a set of data is shown below. Which statement is true?

What is the slope of the least-squares regression line for this data? (check information in #9)Make sure to include units since this is a rate. The units to choose from are: degrees Celsius and meters

Using information from #9, interpret the slope in context.Hint: make sure you check your notes 2.5 and 2.6Make sure to include units since this is a rate.The units to choose from are: degrees Celsius and meters

Using information in #9, predict the distance to the nearest fish if the water was 25 degrees Celsius.Round your answer to two places past the decimal.Make sure to use units in your answer.

Describe the relationship between Soda and Hours Slept in a complete sentence. Use DOFS.Ex. The relationship between...

From #14 & 15, identify if the variables are categorical or quantitative:

Use the information from #14.What is the y-intercept of the least-squares regression line for this data? Hint: the equation is already shown for you.Be sure to include units, keep all the places past the decimal point.

Use the value from #17, interpret the y-intercept in the context of the problem.Hint: check your notes 2.5 & 2.6

Interpret the meaning of r-squared = 0.613 in this setting. Hint: Notes from Lesson 2.6 & 2.7

The value of s for this data is s = 1.17. Interpret this value in the context of this situation and tell what we are looking for. Pick two answers.

Using your answer to number 21 above, if there is an association, explain the relationship.If there is no association then answer 'There does not appear to be an association'.

What is the slope of the least-squares regression line for this data?
(check information in #9)
Make sure to include units since this is a rate.
The units to choose from are: degrees Celsius and meters

Using information from #9, interpret the slope in context.
Hint: make sure you check your notes 2.5 and 2.6

Make sure to include units since this is a rate.
The units to choose from are: degrees Celsius and meters

Using information in #9, predict the distance to the nearest fish if the water was 25 degrees Celsius.
Round your answer to two places past the decimal.
Make sure to use units in your answer.

Describe the relationship between Soda and Hours Slept in a complete sentence.
Use DOFS.
Ex. The relationship between...

Use the information from #14.
What is the y-intercept of the least-squares regression line for this data?
Hint: the equation is already shown for you.
Be sure to include units, keep all the places past the decimal point.

Use the value from #17, interpret the y-intercept in the context of the problem.

Hint: check your notes 2.5 & 2.6

Interpret the meaning of r-squared = 0.613 in this setting.

Hint: Notes from Lesson 2.6 & 2.7

Using your answer to number 21 above, if there is an association, explain the relationship.
If there is no association then answer 'There does not appear to be an association'.

The correlation between the heights of fathers (x) and
the heights of their adult sons (y) is r = 0.89.
This tells us that...

The correlation between the heights of fathers (x) and
the heights of their adult sons (y) is r = 0.89.
This also tells us that...

Consider a large number of countries around the world. There is a positive correlation between the number of laptops per 1000 people (x) and the average life expectancy (y).
r = 0.865
Does this mean that we could increase the life expectancy in Rwanda by shipping laptops to that country?

The United Nations has data on the percent of adult males and females who are illiterate in 142 countries.
The correlation between male illiteracy rate and female illiteracy rate is r = 0.945. Think about what the scatter plot must look like.
This tells us that...

A study of the effects of television measured how many hours of television each of 125 grade school children watched per week during a school year and their reading scores.
Which variable would you put on the horizontal axis of a scatterplot of the data?

A scatterplot and a least-squares regression line are shown in the figure below.

If the point (20, 25) that is labeled A is removed from the data set, which one of the statements below is TRUE?
Hint: think about what outliers do to the slope and y-intercept.

A scatterplot of a set of data is shown below.

Which statement is true?

What is the slope of the least-squares regression line for this data?
(check information in #9)
Make sure to include units since this is a rate.
The units to choose from are: degrees Celsius and meters

Using information from #9, interpret the slope in context.
Hint: make sure you check your notes 2.5 and 2.6

Make sure to include units since this is a rate.
The units to choose from are: degrees Celsius and meters

Using information in #9, predict the distance to the nearest fish if the water was 25 degrees Celsius.
Round your answer to two places past the decimal.
Make sure to use units in your answer.

Describe the relationship between Soda and Hours Slept in a complete sentence.
Use DOFS.
Ex. The relationship between...

Use the information from #14.
What is the y-intercept of the least-squares regression line for this data?
Hint: the equation is already shown for you.
Be sure to include units, keep all the places past the decimal point.

Use the value from #17, interpret the y-intercept in the context of the problem.

Hint: check your notes 2.5 & 2.6

Interpret the meaning of r-squared = 0.613 in this setting.

Hint: Notes from Lesson 2.6 & 2.7

The value of s for this data is s = 1.17.
Interpret this value in the context of this situation and tell what we are looking for.
Pick two answers.

Using your answer to number 21 above, if there is an association, explain the relationship.
If there is no association then answer 'There does not appear to be an association'.