Question 1

Use the following information for following questions .
The following scatterplot shows the relationship between heights (in cm) and weights (in kg) of 100
Americans. The coefﬁcient of determination was found to be 37.9%. 
-Calculate the value of the correlation coefﬁcient between height and weight.

Accepted Answer

The answer of Use the following information for following questions...

Question 2

Use the following regression equation regarding airline tickets for following questions .  Note that Distance is the amount of miles between the departure and arrival cities, and Price is the
cost of an airline ticket.
-Interpret the slope of the regression equation in the context of the data.

Accepted Answer

The slope is 0.22. For every additional mile of ﬂight travel, the price of the airline ticket is predicted to increase by $0.22.

Question 3

Use the following regression equation regarding airline tickets for following questions .  Note that Distance is the amount of miles between the departure and arrival cities, and Price is the
cost of an airline ticket.
-What is the expected ticket price for a ﬂight between Los Angeles and New York City, which are 2448.3 miles apart?

Accepted Answer

The answer of Use the following regression equation regarding airline...

Question 4

Which of the following scatterplots shows data with the highest correlation between the explanatory and response variables? Explain your reasoning.

Accepted Answer

The answer of Which of the following scatterplots shows data...

Question 5

For the following scatterplot, what effect would the outlier have on the slope of the regression equation? Explain your reasoning.

Accepted Answer

The answer of For the following scatterplot, what effect would...

Question 6

Given the following scatterplot, if the point in the upper left corner were removed, what would happen to the value of the correlation coefﬁcient, r?

Accepted Answer

The answer of Given the following scatterplot, if the point...

Question 7

Use the following information to answer Questions .
The scatterplot below shows the relationship between the average monthly temperature and the
monthly cost of a gas bill. The correlation coefﬁcient between the values is −0.92. 
-Do lower monthly temperature cause gas bills to be more expensive? Explain your reasoning.

Accepted Answer

The answer of Use the following information to answer Questions...

Question 8

A study about exercise routines reported that the amount of time a person spends working out has a strong positive linear association with the amount of weight he/she loses. What can you determine about the relationship between amount of time spent at the gym and the amount of weight a person loses?

Accepted Answer

The answer of A study about exercise routines reported that...

Question 9

Use the following information for following questions .
Suppose data were recorded for 100 employees of a large company that included annual salaries
and the number of years the employee has been in their current position. The mean annual salary
was $58,000 with a standard deviation of 12,500. The mean number of years in the current
position is 10 with a standard deviation of 3. The correlation coefﬁcient between the two
variables is approximately 0.93.
-Calculation the value of the intercept for the linear model that predicts annual salary from the number of years in current position and interpret it in context, if appropriate.

Accepted Answer

The answer of Use the following information for following questions...

Question 10

When will a correlation coefﬁcient be negative?

Accepted Answer

The answer of When will a correlation coefﬁcient be negative?...

Question 11

Use the following information for following questions .
Suppose data were recorded for 100 employees of a large company that included annual salaries
and the number of years the employee has been in their current position. The mean annual salary
was $58,000 with a standard deviation of 12,500. The mean number of years in the current
position is 10 with a standard deviation of 3. The correlation coefﬁcient between the two
variables is approximately 0.93.
-Determine the correct value of the slope for the linear model that predicts annual salary from the number of years in current position and interpret it in context.

Accepted Answer

The answer of Use the following information for following questions...

Question 12

Use the following information for following questions .
The following scatterplot shows the relationship between heights (in cm) and weights (in kg) of 100
Americans. The coefﬁcient of determination was found to be 37.9%. 
-If we converted the x- axis to inches, instead of centimeters, what would happen to the value of the correlation coefﬁcient?

Accepted Answer

The answer of Use the following information for following questions...

Question 13

Use the following information to answer Questions .
The scatterplot below shows the relationship between the average monthly temperature and the
monthly cost of a gas bill. The correlation coefﬁcient between the values is −0.92. 
-Determine the value of the coefﬁcient of determination  and explain its meaning in context?

Accepted Answer

The answer of Use the following information to answer Questions...

Question 14

Use the following regression equation regarding airline tickets for following questions .  Note that Distance is the amount of miles between the departure and arrival cities, and Price is the
cost of an airline ticket.
-Interpret the intercept of the regression equation in the context of the data. Explain why the value is or is not meaningful.

Accepted Answer

The answer of Use the following regression equation regarding airline...

Question 15

Which scatterplot below depicts a stronger linear relationship? Why? Explain what the scatterplot shows regarding a tree's volume.

Accepted Answer

The answer of Which scatterplot below depicts a stronger linear...

Question 16

Use the following information for following questions .
Suppose data were recorded for 100 employees of a large company that included annual salaries
and the number of years the employee has been in their current position. The mean annual salary
was $58,000 with a standard deviation of 12,500. The mean number of years in the current
position is 10 with a standard deviation of 3. The correlation coefﬁcient between the two
variables is approximately 0.93.
-If an employee earns an annual salary of $85,000, approximately how long has she held her current position at the company? Round your answer to the nearest year.

Accepted Answer

The answer of Use the following information for following questions...

Question 17

Suppose the heights of teenagers were recorded in 2003 and then recorded again 5 years later, in 2008. For each person, the height in 2008 was 6 inches (15.24 centimeters) taller than the height in 2003. For example, a teenager who was 53 inches (134.62 cm) tall in 2003 measured at a height of 59 inches (149.86 cm) in 2008. What would be the correlation coefﬁcient between the 2003 heights and the 2008 heights? Explain your reasoning.

Accepted Answer

The answer of Suppose the heights of teenagers were recorded...

Question 18

Suppose data were collected on neighborhoods about the number of crimes committed and the number of police who patrol the area. Which variable is the explanatory variable and which one is the response? Ex- plain your reasoning.

Accepted Answer

The answer of Suppose data were collected on neighborhoods about...

Question 19

Create a data set of 2 variables (X and Y) such that the relationship between X and Y would have a perfect negative correlation of −1.Note: The data set can be very small (three to four X and Y values).

Accepted Answer

The answer of Create a data set of 2 variables...

Question 20

Use the following information to answer Questions .
The scatterplot below shows the relationship between the average monthly temperature and the
monthly cost of a gas bill. The correlation coefﬁcient between the values is −0.92. 
-If appropriate, calculate the expected gas bill cost for a month with an average temperature of −  . If it's not appropriate, explain why.

Accepted Answer

The answer of Use the following information to answer Questions...

Quiz 4: Regression Analysis: Exploring Associations Between Variables

Use the following regression equation regarding airline tickets for following questions . Note that Distance is the amount of miles between the departure and arrival cities, and Price is the cost of an airline ticket. -Interpret the slope of the regression equation in the context of the data.

Which of the following scatterplots shows data with the highest correlation between the explanatory and response variables? Explain your reasoning.

For the following scatterplot, what effect would the outlier have on the slope of the regression equation? Explain your reasoning.

Given the following scatterplot, if the point in the upper left corner were removed, what would happen to the value of the correlation coefﬁcient, r?

When will a correlation coefﬁcient be negative?

Which scatterplot below depicts a stronger linear relationship? Why? Explain what the scatterplot shows regarding a tree's volume.

Suppose data were collected on neighborhoods about the number of crimes committed and the number of police who patrol the area. Which variable is the explanatory variable and which one is the response? Ex- plain your reasoning.

Create a data set of 2 variables (X and Y) such that the relationship between X and Y would have a perfect negative correlation of −1.Note: The data set can be very small (three to four X and Y values).