Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 10.5, Problem 15BSC
Finding the Best Model. In Exercises 5-16, construct a
15. Carbon Dioxide Listed below are
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09:Pretest 09:Correlation and Regression
11. Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used.only for the
scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or
computer to obtain the regression equation of the model that best fits the data. You may need to fit several models and compare the
values of R2.
Average sunset times are taken for six months across the summer. Giving the months April through September values 1 through 6, find the
regression equation of the best model.
month
2
4
average sunset time in hours 19.51 20.87 21.45 20.64 19.32 18.20
O y = 21.20 – 0.343x
O y = 20.62x-0.029
O y = -0.357x2 + 2.17x + 17.87
O y = 21.24 e0.983x
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Please solve part D, E & F
vnloads/MTH%202210-C%20Assignment%202.pdf
A Read aloud
V Draw
9 Highlight
4. To help Companies in the U.S. car rental market vary greatly in terms of the size of the
fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in
service and annual revenue of approximately $4.2 billion. The following data show the
number of cars in service (1000s) and the annual revenue ($millions) for six smaller car
rental companies.
Cars (1000s)
111.5
Revenue ($millions)
Company
U-Save Auto Rental System, Inc.
1182
Payless Car Rental System, Inc.
100.0
1353
ACE Rent A Car
93.3
1004
Rent-A-Wreck of America
54.5
373
Triangle Rent-A-Car
47.2
409
Affordable/Sensible
35.3
327
a. Develop a scatter diagram with the number of cars in service as the independent
variable. What does the scatter diagram developed in part (a) indicate about the
relationship between the two variables?
b. Develop and interprete the estimated regression equation
Does the above data provide a good model fit…
Chapter 10 Solutions
Elementary Statistics (13th Edition)
Ch. 10.1 - Notation Twenty different statistics students are...Ch. 10.1 - Interpreting r For the some two variables...Ch. 10.1 - Global Warming If we find that there is a linear...Ch. 10.1 - Scatterplots Match these values of r with the five...Ch. 10.1 - Bear Weight and Chest Size Fifty-four wild bears...Ch. 10.1 - Casino Size and Revenue The New York Times...Ch. 10.1 - Garbage Data Set 31 Garbage Weight in Appendix B...Ch. 10.1 - Cereal Killers The amounts of sugar (grams of...Ch. 10.1 - Explore! Exercises 9 and 10 provide two data sets...Ch. 10.1 - Explore! Exercises 9 and 10 provide two data sets...
Ch. 10.1 - Outlier Refer to the accompanying...Ch. 10.1 - Clusters Refer to the following Minitab-generated...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Testing for a Linear Correlation. In Exercises...Ch. 10.1 - Appendix B Data Sets. In Exercises 2934, use the...Ch. 10.1 - Appendix B Data Sets. In Exercises 2934, use the...Ch. 10.1 - Appendix B Data Sets. In Exercises 2934, use the...Ch. 10.1 - Appendix B Data Sets. In Exercises 2934, use the...Ch. 10.1 - Appendix B Data Sets. In Exercises 2934, use the...Ch. 10.1 - Appendix B Data Sets. In Exercises 2934, use the...Ch. 10.1 - Transformed Data In addition to testing for a...Ch. 10.1 - Finding Critical r Values Table A-6 lists critical...Ch. 10.2 - Notation Different hotels on Las Vegas Boulevard...Ch. 10.2 - Notation What is the difference between the...Ch. 10.2 - Best-Fit Line a. What is a residual? b. In what...Ch. 10.2 - Correlation and Slope What is the relationship...Ch. 10.2 - Making Predictions. In Exercises 58, let the...Ch. 10.2 - Making Predictions. In Exercises 58, let the...Ch. 10.2 - Making Predictions. In Exercises 58, let the...Ch. 10.2 - Making Predictions. In Exercises 58, let the...Ch. 10.2 - Finding the Equation of the Regression Line. In...Ch. 10.2 - Finding the Equation of the Regression Line. In...Ch. 10.2 - Effects of an Outlier Refer to the Mini...Ch. 10.2 - Effects of Clusters Refer to the Minitab-generated...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 1328 use the...Ch. 10.2 - Regression and Predictions. Exercises 13-28 use...Ch. 10.2 - Regression and Predictions. Exercises 13-28 use...Ch. 10.2 - Regression and Predictions. Exercises 13-28 use...Ch. 10.2 - Regression and Predictions. Exercises 13-28 use...Ch. 10.2 - Large Data Sets. Exercises 29-32 use the same...Ch. 10.2 - Large Data Sets. Exercises 29-32 use the same...Ch. 10.2 - Large Data Sets. Exercises 29-32 use the same...Ch. 10.2 - Large Data Sets. Exercises 29-32 use the same...Ch. 10.2 - Word Counts of Men and Women Refer to Data Set 24...Ch. 10.2 - Earthquakes Refer lo Data Set 21 Earthquakes in...Ch. 10.2 - Least-Squares Property According to the...Ch. 10.3 - se Notation Using Data Set 1 Body Data in Appendix...Ch. 10.3 - Prediction Interval Using the heights and weights...Ch. 10.3 - Coefficient of Determination Using the heights and...Ch. 10.3 - Standard Error of Estimate A random sample of 118...Ch. 10.3 - Interpreting the Coefficient of Determination. In...Ch. 10.3 - Interpreting the Coefficient of Determination. In...Ch. 10.3 - Interpreting the Coefficient of Determination. In...Ch. 10.3 - Interpreting the Coefficient of Determination. In...Ch. 10.3 - Interpreting a Computer Display. In Exercises...Ch. 10.3 - Interpreting a Computer Display. In Exercises...Ch. 10.3 - Interpreting a Computer Display. In Exercises...Ch. 10.3 - Interpreting a Computer Display. In Exercises...Ch. 10.3 - Finding a Prediction Interval. In Exercises 13-16,...Ch. 10.3 - Finding a Prediction Interval. In Exercises 13-16,...Ch. 10.3 - Finding a Prediction Interval. In Exercises 13-16,...Ch. 10.3 - Finding a Prediction Interval. In Exercises 13-16,...Ch. 10.3 - Variation and Prediction Intervals. In Exercises...Ch. 10.3 - Variation and Prediction Intervals. In Exercises...Ch. 10.3 - Variation and Prediction Intervals. In Exercises...Ch. 10.3 - Variation and Prediction Intervals. In Exercises...Ch. 10.3 - Confidence Interval for Mean Predicted Value...Ch. 10.4 - Terminology Using the lengths (in.). chest sizes...Ch. 10.4 - Best Multiple Regression Equation For the...Ch. 10.4 - Adjusted Coefficient of Determination For Exercise...Ch. 10.4 - Interpreting R2 For the multiple regression...Ch. 10.4 - Interpreting a Computer Display. In Exercises 5-8,...Ch. 10.4 - Interpreting a Computer Display. In Exercises 5-8,...Ch. 10.4 - Interpreting a Computer Display. In Exercises 5-8,...Ch. 10.4 - Interpreting a Computer Display. In Exercises 5-8,...Ch. 10.4 - City Fuel Consumption: Finding the Best Multiple...Ch. 10.4 - City Fuel Consumption: Finding the Best Multiple...Ch. 10.4 - City Fuel Consumption: Finding the Best Multiple...Ch. 10.4 - City Fuel Consumption: Finding the Best Multiple...Ch. 10.4 - Appendix B Data Sets. In Exercises 13-16, refer to...Ch. 10.4 - Prob. 14BSCCh. 10.4 - Appendix B Data Sets. In Exercises 13-16, refer to...Ch. 10.4 - Appendix B Data Sets. In Exercises 13-16, refer to...Ch. 10.4 - Testing Hypotheses About Regression Coefficients...Ch. 10.4 - Confidence Intervals for a Regression Coefficients...Ch. 10.4 - Dummy Variable Refer to Data Set 9 Bear...Ch. 10.5 - Identifying a Model and R2 Different samples are...Ch. 10.5 - Super Bowl and R2 Let x represent years coded as...Ch. 10.5 - Super Bowl and R2 Let x represent years coded as...Ch. 10.5 - Interpreting a Graph The accompanying graph plots...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Finding the Best Model. In Exercises 5-16,...Ch. 10.5 - Sum of Squares Criterion In addition to the value...Ch. 10 - The following exercises are based on the following...Ch. 10 - The following exercises are based on the following...Ch. 10 - The following exercises are based on the following...Ch. 10 - The following exercises are based on the following...Ch. 10 - The following exercises are based on the following...Ch. 10 - The following exercises are based on the following...Ch. 10 - The following exercises are based on the following...Ch. 10 - The following exercises are based on the following...Ch. 10 - The following exercises are based on the following...Ch. 10 - Interpreting Scatterplot If the sample data were...Ch. 10 - Cigarette Tar and Nicotine The table below lists...Ch. 10 - 2. Cigarette Nicotine and Carbon Monoxide Refer to...Ch. 10 - Time and Motion In a physics experiment at Doane...Ch. 10 - 4. Multiple Regression with Cigarettes Use the...Ch. 10 - Stocks and Sunspots. Listed below are annual high...Ch. 10 - Stocks and Sunspots. Listed below are annual high...Ch. 10 - Stocks and Sunspots. Listed below are annual high...Ch. 10 - Stocks and Sunspots. Listed below are annual high...Ch. 10 - Stocks and Sunspots. Listed below are annual high...Ch. 10 - Cell Phones and Driving In the authors home town...Ch. 10 - Ages of Moviegoers The table below shows the...Ch. 10 - Ages of Moviegoers Based on the data from...Ch. 10 - Speed Dating Data Set 18 Speed Dating" in Appendix...Ch. 10 - Speed Dating Data Set 18 Speed Dating" in Appendix...Ch. 10 - Speed Dating Data Set 18 Speed Dating" in Appendix...Ch. 10 - Speed Dating Data Set 18 Speed Dating" in Appendix...Ch. 10 - Speed Dating Data Set 18 Speed Dating in Appendix...Ch. 10 - Speed Dating Data Set 18 Speed Dating in Appendix...Ch. 10 - Critical Thinking: Is the pain medicine Duragesic...Ch. 10 - Critical Thinking: Is the pain medicine Duragesic...Ch. 10 - Critical Thinking: Is the pain medicine Duragesic...Ch. 10 - Critical Thinking: Is the pain medicine Duragesic...Ch. 10 - Critical Thinking: Is the pain medicine Duragesic...
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- What situations are best modeled by a logistic equation? Give an example, and state a case for why the example is a good fit.arrow_forwardIs carbon dating? Why does it work? Give an example in which carbon dating would be useful.arrow_forwardUsing the model in Example 6, estimate the number of cases of flu on day 15.arrow_forward
- Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine whetherthe data from the table would likely represent a function that is linear, exponential, or logarithmic.arrow_forwardCable TV The following table shows the number C. in millions, of basic subscribers to cable TV in the indicated year These data are from the Statistical Abstract of the United States. Year 1975 1980 1985 1990 1995 2000 C 9.8 17.5 35.4 50.5 60.6 60.6 a. Use regression to find a logistic model for these data. b. By what annual percentage would you expect the number of cable subscribers to grow in the absence of limiting factors? c. The estimated number of subscribers in 2005 was 65.3million. What light does this shed on the model you found in part a?arrow_forwardWeight Versus Height The following data show the height h, in inches, and weight w, in pounds, of an average adult male. h 61 62 66 68 70 72 74 75 w 131 133 143 149 155 162 170 175 a Make a power model for weight versus height. b According to the model from part a, what percentage increase in weight can be expected if height is increased by 10?arrow_forward
- What might a scatterplot of data points look like if it were best described by a logarithmic model?arrow_forwardLife Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300arrow_forwardTable 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?arrow_forward
- Using your graphing calculator, make a scatter plot of the data from the table. Then graph your model from Question 2 along with the data. How well does your model fit the data? What could you do to try to improve your model?arrow_forwardEstimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.arrow_forwardThe present data is in the form of tables. For the data set shown by the table, a. Create a scatter plot for the data. b. Use the scatter plot to determine whether an exponential function, a logarithmic function, or a linear function is the best choice for modeling the data.arrow_forward
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