Connect Plus Statistics Hosted by ALEKS Access Card 52 Weeks for Elementary Statistics: A Step-By-St
Connect Plus Statistics Hosted by ALEKS Access Card 52 Weeks for Elementary Statistics: A Step-By-St
9th Edition
ISBN: 9781259198946
Author: Bluman, Allan
Publisher: McGraw-Hill Science/Engineerin
Question
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Chapter 10, Problem 10.1.1RE

a.

To determine

To construct: The scatterplot for the give data.

a.

Expert Solution
Check Mark

Answer to Problem 10.1.1RE

The scatterplot for the data is as follows,

Connect Plus Statistics Hosted by ALEKS Access Card 52 Weeks for Elementary Statistics: A Step-By-St, Chapter 10, Problem 10.1.1RE , additional homework tip  1

Explanation of Solution

Given info:

The data represents the weekly average number of passengers per flight and the average one-way fare in dollars for common commercial routes.

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 Avg. one-way fare.
  • Under X variables, enter a column of Avg. no.of passengers.
  • Click OK.

b.

To determine

To compute: The value of the correlation coefficient.

b.

Expert Solution
Check Mark

Answer to Problem 10.1.1RE

The value of the correlation coefficient is –0.686.

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 Avg. number of passengers and Avg. one-way fare from the box on the left.
  • Click OK.

Output using the MINITAB software is given below:

Connect Plus Statistics Hosted by ALEKS Access Card 52 Weeks for Elementary Statistics: A Step-By-St, Chapter 10, Problem 10.1.1RE , additional homework tip  2

Thus, the value of the correlation is –0.686.

c.

To determine

To test: The significance of the correlation coefficient at α=0.01 using Table I.

c.

Expert Solution
Check Mark

Answer to Problem 10.1.1RE

The conclusion is that, there is no linear relation between the Avg. number of passengers and Avg. one-way fare.

Explanation of Solution

Given info:

The level of significance is α=0.01 and the sample size is 6.

Calculation:

The hypotheses are given below:

Null hypothesis:

H0:ρ=0

That is, there is no linear relation between the Avg. number of passengers and Avg. one-way fare.

Alternative hypothesis:

H1:ρ0

That is, there is a linear relation between the Avg. number of passengers and Avg. one-way fare.

The formula to obtain the degrees of the freedom is n2 .

That is,

n2=62=4

From the “TABLE –I: Critical Values for the PPMC”, the critical value for 4 degrees of freedom and α=0.01 level of significance is 0.917.

Rejection Rule:

If the absolute value of r is greater than the critical value then reject the null hypothesis.

Conclusion:

From part (b), the value of the correlation of Avg. number of passengers and Avg. one-way fare is –0.686. That is the absolute value of r is 0.686.

Here, the absolute value of r is less than the critical value.

That is, |r|(=0.686)<critical value(=0.917) .

By the rejection rule, the null hypothesis is not rejected.

Therefore, there is no sufficient evidence to support the claim that “there is a linear relation between the Avg. number of passengers and Avg. one-way fare”.

d.

To determine

To find: The regression equation for the given data

d.

Expert Solution
Check Mark

Answer to Problem 10.1.1RE

The regression equation for the given data is not valid.

Explanation of Solution

It is observed that the r is not significant.

Thus, the regression is not valid.

e.

To determine

To plot: The regression line on the scatter plot if appropriate.

e.

Expert Solution
Check Mark

Answer to Problem 10.1.1RE

The regression line cannot be plotted in the scatterplot.

Explanation of Solution

From part (d), it is observed that the regression line is not valid.

Thus, it is inappropriate to plot the regression line on the scatter plot.

f.

To determine

To predict: The value of y for a specific value of x if appropriate.

f.

Expert Solution
Check Mark

Answer to Problem 10.1.1RE

The value of y for a specific value of x is not possible.

Explanation of Solution

From part (d) the regression line is not valid.

Therefore it is not possible to predict the value of y for a specific value of x.

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Chapter 10 Solutions

Connect Plus Statistics Hosted by ALEKS Access Card 52 Weeks for Elementary Statistics: A Step-By-St

Ch. 10.1 - When two variables are correlated, can the...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - Prob. 23ECh. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECCh. 10.1 - Prob. 29ECCh. 10.1 - Prob. 30ECCh. 10.2 - Applying the Concepts 102 Stopping Distances...Ch. 10.2 - What two things should be done before one performs...Ch. 10.2 - What are the assumptions for regression analysis?Ch. 10.2 - Prob. 3ECh. 10.2 - What is the symbol for the slope? For the y...Ch. 10.2 - Prob. 5ECh. 10.2 - When all the points fall on the regression line,...Ch. 10.2 - What is the relationship between the sign of the...Ch. 10.2 - As the value of the correlation coefficient...Ch. 10.2 - Prob. 9ECh. 10.2 - When the value of r is not significant, what value...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - Prob. 12ECh. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - For Exercises 28 through 33, do a complete...Ch. 10.2 - For Exercises 28 through 33, do a complete...Ch. 10.2 - For Exercises 28 through 33, do a complete...Ch. 10.2 - Prob. 33ECh. 10.2 - For Exercises 34 and 35, do a complete regression...Ch. 10.2 - For Exercises 34 and 35, do a complete regression...Ch. 10.2 - For Exercises 13, 15, and 21 in Section 101, find...Ch. 10.2 - Prob. 37ECCh. 10.2 - The value of the correlation coefficient can also...Ch. 10.3 - Applying the Concepts 103 Interpreting Simple...Ch. 10.3 - What is meant by the explained variation? How is...Ch. 10.3 - What is meant by the unexplained variation? How is...Ch. 10.3 - What is meant by the total variation? How is it...Ch. 10.3 - Define the coefficient of determination.Ch. 10.3 - How is the coefficient of determination found?Ch. 10.3 - Define the coefficient of nondetermination.Ch. 10.3 - How is the coefficient of nondetermination found?Ch. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Compute the standard error of the estimate for...Ch. 10.3 - Compute the standard error of the estimate for...Ch. 10.3 - Compute the standard error of the estimate for...Ch. 10.3 - Prob. 19ECh. 10.3 - For the data in Exercises 14 in Sections 101 and...Ch. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.4 - Applying the Concepts 104 More Math Means More...Ch. 10.4 - Explain the similarities and differences between...Ch. 10.4 - What is the general form of the multiple...Ch. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - How do the values of the individual correlation...Ch. 10.4 - Age, GPA, and Income A researcher has determined...Ch. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Aspects of Students Academic Behavior A college...Ch. 10.4 - Age, Cholesterol, and Sodium A medical researcher...Ch. 10.4 - Explain the meaning of the multiple correlation...Ch. 10.4 - What is the range of values R can assume?Ch. 10.4 - Prob. 13ECh. 10.4 - What are the hypotheses used to test the...Ch. 10.4 - What test is used to test the significance of R?Ch. 10.4 - What is the meaning of the adjusted R2? Why is it...Ch. 10 - Prob. 10.1.1RECh. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - Prob. 10.1.3RECh. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - Prob. 10.1.7RECh. 10 - For Exercise 4, find the standard error of the...Ch. 10 - Prob. 10.2.9RECh. 10 - Prob. 10.2.10RECh. 10 - Prob. 10.2.11RECh. 10 - Prob. 10.2.12RECh. 10 - (Opt.) A study found a significant relationship...Ch. 10 - Prob. 10.2.14RECh. 10 - Prob. 10.2.15RECh. 10 - Prob. 1DACh. 10 - Prob. 2DACh. 10 - Prob. 3DACh. 10 - Prob. 1CQCh. 10 - Determine whether each statement is true or false....Ch. 10 - Determine whether each statement is true or false....Ch. 10 - Determine whether each statement is true or false....Ch. 10 - Determine whether each statement is true or false....Ch. 10 - Determine whether each statement is true or false....Ch. 10 - Prob. 7CQCh. 10 - Select the best answer. 8. To test the...Ch. 10 - Select the best answer. 9. The test of...Ch. 10 - Prob. 10CQCh. 10 - Prob. 11CQCh. 10 - Prob. 12CQCh. 10 - Complete the following statements with the best...Ch. 10 - Prob. 14CQCh. 10 - Prob. 15CQCh. 10 - Prob. 16CQCh. 10 - Prob. 17CQCh. 10 - Prob. 18CQCh. 10 - Prob. 19CQCh. 10 - Prob. 20CQCh. 10 - Prob. 21CQCh. 10 - Prob. 22CQCh. 10 - Prob. 23CQCh. 10 - For Exercise 20, find the 90% prediction interval...Ch. 10 - Prob. 25CQCh. 10 - Prob. 26CQCh. 10 - (Opt.) Find R when ryx1 = 0.561 and ryx2 = 0.714...Ch. 10 - Prob. 28CQCh. 10 - Prob. 1CTCCh. 10 - Prob. 2CTCCh. 10 - Prob. 3CTCCh. 10 - Prob. 4CTCCh. 10 - Product Sales When the points in a scatter plot...Ch. 10 - Prob. 6CTCCh. 10 - Prob. 7CTCCh. 10 - Product Sales When the points in a scatter plot...Ch. 10 - Prob. 9CTC
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