In Exercises 1–4, (a) display the data in a scatter plot , (b) calculate the sample correlation coefficient r, and (c) describe the type of correlation and interpret the correlation in the context of the data. 1. The numbers of pass attempts and passing yards for seven professional quarterbacks for a recent regular season (Sourer: National Football League)

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 9, Problem 9.1.1RE

In Exercises 1–4, (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) describe the type of correlation and interpret the correlation in the context of the data.

1. The numbers of pass attempts and passing yards for seven professional quarterbacks for a recent regular season (Sourer: National Football League)

Chapter 9, Problem 9.1.1RE, In Exercises 14, (a) display the data in a scatter plot, (b) calculate the sample correlation

a.

Expert Solution

To determine

To construct: The scatterplot for the variables the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 1

Explanation of Solution

Given info:

The data shows the numbers of pass attempts (x) and passing yards (y) values.

Calculation:

Software procedure:

Step by step procedure to obtain scatterplot using the MINITAB software:

Choose Graph > Scatterplot.
Choose Simple and then click OK.
Under Y variables, enter a column of Passing yards.
Under X variables, enter a column of Pass attempts.
Click OK.

From the scatterplot, it is observed that as pass attempts increases, the passing yards also increases.

b.

Expert Solution

To determine

To find: The value of the linear correlation coefficient r.

Answer to Problem 9.1.1RE

The linear correlation coefficient r is 0.917.

Explanation of Solution

Calculation:

Correlation coefficient r:

Software procedure:

Step-by-step procedure to obtain the ‘correlation coefficient’ using the MINITAB software:

Select Stat > Basic Statistics > Correlation.
In Variables, select Pass attempts and Passing yards from the box on the left.
Click OK.

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 2

Thus, the Pearson correlation of the numbers of pass attempts and passing yards is 0.917 and P-value is 0.004.

c.

Expert Solution

To determine

To describe: The type of linear association between the numbers of pass attempts and passing yards.

To interpret: The linear association between the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

There is a strong positive linear correlation between the numbers of pass attempts and passing yards.

As the numbers of pass attempts increase then the passing yards also increase.

Explanation of Solution

From, the scatterplot in part (a), it is observed that the horizontal axis represents the numbers of pass attempts and vertical axis represents the numbers of the passing yards. Also, it is observed that the numbers of pass attempts increase then the passing yards also increase. Also, the data points are scattered closely.

From part (b), it is observed that the linear correlation between the numbers of pass attempts and passing yards is 0.917.

Thus, there is a strong positive linear correlation between the numbers of pass attempts and passing yards

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

For context, the image provided below is a quesion from a Sepetember, 2024 past paper in statistical modeling

For context, the images attached below (the question and the related figure) is from a january 2024 past paper

For context, the image attached below is a question from a June 2024 past paper in statisical modeling

Answer 2

Textbook Question

Chapter 9, Problem 9.1.1RE

In Exercises 1–4, (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) describe the type of correlation and interpret the correlation in the context of the data.

1. The numbers of pass attempts and passing yards for seven professional quarterbacks for a recent regular season (Sourer: National Football League)

Chapter 9, Problem 9.1.1RE, In Exercises 14, (a) display the data in a scatter plot, (b) calculate the sample correlation

a.

Expert Solution

To determine

To construct: The scatterplot for the variables the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 1

Explanation of Solution

Given info:

The data shows the numbers of pass attempts (x) and passing yards (y) values.

Calculation:

Software procedure:

Step by step procedure to obtain scatterplot using the MINITAB software:

Choose Graph > Scatterplot.
Choose Simple and then click OK.
Under Y variables, enter a column of Passing yards.
Under X variables, enter a column of Pass attempts.
Click OK.

From the scatterplot, it is observed that as pass attempts increases, the passing yards also increases.

b.

Expert Solution

To determine

To find: The value of the linear correlation coefficient r.

Answer to Problem 9.1.1RE

The linear correlation coefficient r is 0.917.

Explanation of Solution

Calculation:

Correlation coefficient r:

Software procedure:

Step-by-step procedure to obtain the ‘correlation coefficient’ using the MINITAB software:

Select Stat > Basic Statistics > Correlation.
In Variables, select Pass attempts and Passing yards from the box on the left.
Click OK.

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 2

Thus, the Pearson correlation of the numbers of pass attempts and passing yards is 0.917 and P-value is 0.004.

c.

Expert Solution

To determine

To describe: The type of linear association between the numbers of pass attempts and passing yards.

To interpret: The linear association between the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

There is a strong positive linear correlation between the numbers of pass attempts and passing yards.

As the numbers of pass attempts increase then the passing yards also increase.

Explanation of Solution

From, the scatterplot in part (a), it is observed that the horizontal axis represents the numbers of pass attempts and vertical axis represents the numbers of the passing yards. Also, it is observed that the numbers of pass attempts increase then the passing yards also increase. Also, the data points are scattered closely.

From part (b), it is observed that the linear correlation between the numbers of pass attempts and passing yards is 0.917.

Thus, there is a strong positive linear correlation between the numbers of pass attempts and passing yards

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 9, Problem 9.1.1RE

In Exercises 1–4, (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) describe the type of correlation and interpret the correlation in the context of the data.

1. The numbers of pass attempts and passing yards for seven professional quarterbacks for a recent regular season (Sourer: National Football League)

Chapter 9, Problem 9.1.1RE, In Exercises 14, (a) display the data in a scatter plot, (b) calculate the sample correlation

a.

Expert Solution

To determine

To construct: The scatterplot for the variables the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 1

Explanation of Solution

Given info:

The data shows the numbers of pass attempts (x) and passing yards (y) values.

Calculation:

Software procedure:

Step by step procedure to obtain scatterplot using the MINITAB software:

Choose Graph > Scatterplot.
Choose Simple and then click OK.
Under Y variables, enter a column of Passing yards.
Under X variables, enter a column of Pass attempts.
Click OK.

From the scatterplot, it is observed that as pass attempts increases, the passing yards also increases.

b.

Expert Solution

To determine

To find: The value of the linear correlation coefficient r.

Answer to Problem 9.1.1RE

The linear correlation coefficient r is 0.917.

Explanation of Solution

Calculation:

Correlation coefficient r:

Software procedure:

Step-by-step procedure to obtain the ‘correlation coefficient’ using the MINITAB software:

Select Stat > Basic Statistics > Correlation.
In Variables, select Pass attempts and Passing yards from the box on the left.
Click OK.

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 2

Thus, the Pearson correlation of the numbers of pass attempts and passing yards is 0.917 and P-value is 0.004.

c.

Expert Solution

To determine

To describe: The type of linear association between the numbers of pass attempts and passing yards.

To interpret: The linear association between the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

There is a strong positive linear correlation between the numbers of pass attempts and passing yards.

As the numbers of pass attempts increase then the passing yards also increase.

Explanation of Solution

From, the scatterplot in part (a), it is observed that the horizontal axis represents the numbers of pass attempts and vertical axis represents the numbers of the passing yards. Also, it is observed that the numbers of pass attempts increase then the passing yards also increase. Also, the data points are scattered closely.

From part (b), it is observed that the linear correlation between the numbers of pass attempts and passing yards is 0.917.

Thus, there is a strong positive linear correlation between the numbers of pass attempts and passing yards

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 9, Problem 9.1.1RE

In Exercises 1–4, (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) describe the type of correlation and interpret the correlation in the context of the data.

1. The numbers of pass attempts and passing yards for seven professional quarterbacks for a recent regular season (Sourer: National Football League)

Chapter 9, Problem 9.1.1RE, In Exercises 14, (a) display the data in a scatter plot, (b) calculate the sample correlation

a.

Expert Solution

To determine

To construct: The scatterplot for the variables the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 1

Explanation of Solution

Given info:

The data shows the numbers of pass attempts (x) and passing yards (y) values.

Calculation:

Software procedure:

Step by step procedure to obtain scatterplot using the MINITAB software:

Choose Graph > Scatterplot.
Choose Simple and then click OK.
Under Y variables, enter a column of Passing yards.
Under X variables, enter a column of Pass attempts.
Click OK.

From the scatterplot, it is observed that as pass attempts increases, the passing yards also increases.

b.

Expert Solution

To determine

To find: The value of the linear correlation coefficient r.

Answer to Problem 9.1.1RE

The linear correlation coefficient r is 0.917.

Explanation of Solution

Calculation:

Correlation coefficient r:

Software procedure:

Step-by-step procedure to obtain the ‘correlation coefficient’ using the MINITAB software:

Select Stat > Basic Statistics > Correlation.
In Variables, select Pass attempts and Passing yards from the box on the left.
Click OK.

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 2

Thus, the Pearson correlation of the numbers of pass attempts and passing yards is 0.917 and P-value is 0.004.

c.

Expert Solution

To determine

To describe: The type of linear association between the numbers of pass attempts and passing yards.

To interpret: The linear association between the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

There is a strong positive linear correlation between the numbers of pass attempts and passing yards.

As the numbers of pass attempts increase then the passing yards also increase.

Explanation of Solution

From, the scatterplot in part (a), it is observed that the horizontal axis represents the numbers of pass attempts and vertical axis represents the numbers of the passing yards. Also, it is observed that the numbers of pass attempts increase then the passing yards also increase. Also, the data points are scattered closely.

From part (b), it is observed that the linear correlation between the numbers of pass attempts and passing yards is 0.917.

Thus, there is a strong positive linear correlation between the numbers of pass attempts and passing yards

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a.

Expert Solution

To determine

To construct: The scatterplot for the variables the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 1

Explanation of Solution

Given info:

The data shows the numbers of pass attempts (x) and passing yards (y) values.

Calculation:

Software procedure:

Step by step procedure to obtain scatterplot using the MINITAB software:

Choose Graph > Scatterplot.
Choose Simple and then click OK.
Under Y variables, enter a column of Passing yards.
Under X variables, enter a column of Pass attempts.
Click OK.

From the scatterplot, it is observed that as pass attempts increases, the passing yards also increases.

b.

Expert Solution

To determine

To find: The value of the linear correlation coefficient r.

Answer to Problem 9.1.1RE

The linear correlation coefficient r is 0.917.

Explanation of Solution

Calculation:

Correlation coefficient r:

Software procedure:

Step-by-step procedure to obtain the ‘correlation coefficient’ using the MINITAB software:

Select Stat > Basic Statistics > Correlation.
In Variables, select Pass attempts and Passing yards from the box on the left.
Click OK.

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 2

Thus, the Pearson correlation of the numbers of pass attempts and passing yards is 0.917 and P-value is 0.004.

c.

Expert Solution

To determine

To describe: The type of linear association between the numbers of pass attempts and passing yards.

To interpret: The linear association between the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

There is a strong positive linear correlation between the numbers of pass attempts and passing yards.

As the numbers of pass attempts increase then the passing yards also increase.

Explanation of Solution

From, the scatterplot in part (a), it is observed that the horizontal axis represents the numbers of pass attempts and vertical axis represents the numbers of the passing yards. Also, it is observed that the numbers of pass attempts increase then the passing yards also increase. Also, the data points are scattered closely.

From part (b), it is observed that the linear correlation between the numbers of pass attempts and passing yards is 0.917.

Thus, there is a strong positive linear correlation between the numbers of pass attempts and passing yards

Answer 8

a.

Expert Solution

To determine

To construct: The scatterplot for the variables the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 1

Explanation of Solution

Given info:

The data shows the numbers of pass attempts (x) and passing yards (y) values.

Calculation:

Software procedure:

Step by step procedure to obtain scatterplot using the MINITAB software:

Choose Graph > Scatterplot.
Choose Simple and then click OK.
Under Y variables, enter a column of Passing yards.
Under X variables, enter a column of Pass attempts.
Click OK.

From the scatterplot, it is observed that as pass attempts increases, the passing yards also increases.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

To construct: The scatterplot for the variables the numbers of pass attempts and passing yards.

Answer 13

Answer to Problem 9.1.1RE

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 1

Answer 14

Explanation of Solution

Given info:

The data shows the numbers of pass attempts (x) and passing yards (y) values.

Calculation:

Software procedure:

Step by step procedure to obtain scatterplot using the MINITAB software:

Choose Graph > Scatterplot.
Choose Simple and then click OK.
Under Y variables, enter a column of Passing yards.
Under X variables, enter a column of Pass attempts.
Click OK.

From the scatterplot, it is observed that as pass attempts increases, the passing yards also increases.

Answer 15

b.

Expert Solution

To determine

To find: The value of the linear correlation coefficient r.

Answer to Problem 9.1.1RE

The linear correlation coefficient r is 0.917.

Explanation of Solution

Calculation:

Correlation coefficient r:

Software procedure:

Step-by-step procedure to obtain the ‘correlation coefficient’ using the MINITAB software:

Select Stat > Basic Statistics > Correlation.
In Variables, select Pass attempts and Passing yards from the box on the left.
Click OK.

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 2

Thus, the Pearson correlation of the numbers of pass attempts and passing yards is 0.917 and P-value is 0.004.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

To find: The value of the linear correlation coefficient r.

Answer 20

Answer to Problem 9.1.1RE

The linear correlation coefficient r is 0.917.

Answer 21

Explanation of Solution

Calculation:

Correlation coefficient r:

Software procedure:

Step-by-step procedure to obtain the ‘correlation coefficient’ using the MINITAB software:

Select Stat > Basic Statistics > Correlation.
In Variables, select Pass attempts and Passing yards from the box on the left.
Click OK.

Output using the MINITAB software is given below:

MYLAB STATISTICS: ELEMENTARY STATISTICS, Chapter 9, Problem 9.1.1RE , additional homework tip 2

Thus, the Pearson correlation of the numbers of pass attempts and passing yards is 0.917 and P-value is 0.004.

Answer 22

c.

Expert Solution

To determine

To describe: The type of linear association between the numbers of pass attempts and passing yards.

To interpret: The linear association between the numbers of pass attempts and passing yards.

Answer to Problem 9.1.1RE

There is a strong positive linear correlation between the numbers of pass attempts and passing yards.

As the numbers of pass attempts increase then the passing yards also increase.

Explanation of Solution

From, the scatterplot in part (a), it is observed that the horizontal axis represents the numbers of pass attempts and vertical axis represents the numbers of the passing yards. Also, it is observed that the numbers of pass attempts increase then the passing yards also increase. Also, the data points are scattered closely.

From part (b), it is observed that the linear correlation between the numbers of pass attempts and passing yards is 0.917.

Thus, there is a strong positive linear correlation between the numbers of pass attempts and passing yards

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

To describe: The type of linear association between the numbers of pass attempts and passing yards.

To interpret: The linear association between the numbers of pass attempts and passing yards.

Answer 27

Answer to Problem 9.1.1RE

There is a strong positive linear correlation between the numbers of pass attempts and passing yards.

As the numbers of pass attempts increase then the passing yards also increase.

Answer 28

Explanation of Solution

From, the scatterplot in part (a), it is observed that the horizontal axis represents the numbers of pass attempts and vertical axis represents the numbers of the passing yards. Also, it is observed that the numbers of pass attempts increase then the passing yards also increase. Also, the data points are scattered closely.

From part (b), it is observed that the linear correlation between the numbers of pass attempts and passing yards is 0.917.

Thus, there is a strong positive linear correlation between the numbers of pass attempts and passing yards