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statistics for experimentert
Questions and Answers of
Statistics For Experimentert
Birdies and Score. The data from Exercise 14.70 for number of birdies during a tournament and final score for 63 women golfers are on the WeissStats site.
U.S. Presidents. The data from Exercise 14.71 for the ages at inauguration and of death for the presidents of the United States are on the WeissStats site.
Movie Grosses. The data from Exercise 14.72 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site.
Acreage and Value. The data from Exercise 14.73 for lot size (in acres) and assessed value (in thousands of dollars) for a sample of homes in a particular area are on the WeissStats site.
Home Size and Value. The data from Exercise 14.74 for home size (in square feet) and assessed value (in thousands of dollars)for the same homes as in Exercise 14.107 are on the WeissStats site.
High and Low Temperature. The data from Exercise 14.75 for average high and low temperatures in January for a random sample of 50 cities are on the WeissStats site.
PCBs and Pelicans. The data for shell thickness and concentration of PCBs for 60 Anacapa pelican eggs from Exercise 14.76 are on the WeissStats site.
More Money, More Beer? The data for per capita income and per capita beer consumption for the 50 states and Washington, D.C., from Exercise 14.77 are on the WeissStats site.
Gas Guzzlers. The data for gas mileage and engine displacement for 121 vehicles from Exercise 14.78 are provided on the WeissStats site.
Shortleaf Pines. The data from Exercise 14.80 for volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines are on the WeissStats site.
Body Fat. In the paper “Total Body Composition by DualPhoton (153Gd) Absorptiometry” (American Journal of Clinical Nutrition, Vol. 40, pp. 834–839), R. Mazess et al. studied methods for
Estriol Level and Birth Weight. J. Greene and J. Touchstone conducted a study on the relationship between the estriol levels of pregnant women and the birth weights of their children. Their findings,
The linear correlation coefficient is also known by another name. What is it?In Exercises 14.120–14.127, fill in the blanks.
The symbol that is used for the linear correlation coefficient is .
A value ofr close to ±1 indicates that there is a linear relationship between the variables.
If there is no linear relationship between x and y, the variables are linearly .In each of Exercises 14.128–14.130, determine whether r is positive, negative, or zero.
Answer true or false to the following statement and provide a reason for your answer: If there is a very strong positive correlation between two variables, a causal relationship exists between the
The following are the age (in years) and price (in hundreds of dollars) data for a certain type of car. A scatterplot of the data is given below.Age (x) 7661254514 Price (y) 266 256 271 403 362 299
Custom Homes. Following are the size and price data for custom homes from Exercises 14.60 and 14.100.x 26 27 33 29 29 34 30 40 22 y 540 555 575 577 606 661 738 804 496
Plant Emissions. Following are the data on plant weight and quantity of volatile emissions from Exercises 14.61 and 14.101.x 57 85 57 65 52 67 62 80 77 53 68 y 8.0 22.0 10.5 22.5 12.0 11.5 7.5 13.0
Crown-Rump Length. Following are the data on age and crown-rump length for fetuses from Exercises 14.62 and 14.102.x 2 20 40 60 80 100 120 y 5.7 8.6 10.9 12.5 14.0 15.9 17.9
Study Time and Score. Following are the data on study time and score for statistics students from Exercises 14.63 and 14.103.x 12 24 10 9 15 17 9 18 16 22 y 84 79 81 90 81 85 82 84 83 75
Height and Score. A random sample of 10 students was taken from an introductory statistics class. The following data were obtained, where x denotes height, in inches, and y denotes score on the final
Consider the following set of data points.x −3 −2 −10123 y 9 4 10149a. Compute the linear correlation coefficient, r.b. Can you conclude from your answer in part (a) that the variables x and y
Birdies and Score. The data from Exercise 14.70 for number of birdies during a tournament and final score for 63 women golfers are on the WeissStats site.
U.S. Presidents. The data from Exercise 14.71 for the ages at inauguration and of death for the presidents of the United States are on the WeissStats site.
Movie Grosses. The data from Exercise 14.72 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site.
Acreage and Value. The data from Exercise 14.73 for lot size (in acres) and assessed value (in thousands of dollars) for a sample of homes in a particular area are on the WeissStats site.
Home Size and Value. The data from Exercise 14.74 for home size (in square feet) and assessed value (in thousands of dollars)for the same homes as in Exercise 14.157 are on the WeissStats site.
High and Low Temperature. The data from Exercise 14.75 for average high and low temperatures in January for a random sample of 50 cities are on the WeissStats site.
PCBs and Pelicans. The data on shell thickness and concentration of PCBs for 60 Anacapa pelican eggs from Exercise 14.76 are on the WeissStats site.
More Money, More Beer? The data for per capita income and per capita beer consumption for the 50 states and Washington, D.C., from Exercise 14.77 are on the WeissStats site.
Gas Guzzlers. The data for gas mileage and engine displacement for 121 vehicles from Exercise 14.78 are provided on the WeissStats site.
Shortleaf Pines. The data from Exercise 14.80 for volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines are on the WeissStats site.
Body Fat. The data from Exercise 14.114 for age and percentage of body fat for 18 randomly selected adults are on the WeissStats site.
Estriol Level and Birth Weight. The data for estriol levels of pregnant women and birth weights of their children from Exercise 14.115 are on the WeissStats site.
Fiber Density. In the article “Comparison of Fiber Counting by TV Screen and Eyepieces of Phase Contrast Microscopy” (American Industrial Hygiene Association Journal, Vol. 63, pp. 756–761), I.
Country Music Blues. A Knight-Ridder News Service article in an issue of the Wichita Eagle discussed a study on the relationship between country music and suicide. The results of the study,
use and understand the formulas in this chapter.
define and apply the concepts related to linear equations with one independent variable.
explain the least-squares criterion.
obtain and graph the regression equation for a set of data points, interpret the slope of the regression line, and use the regression equation to make predictions.
define and use the terminology predictor variable and response variable.
understand the concept of extrapolation.
identify outliers and influential observations.
know when obtaining a regression line for a set of data points is appropriate.
calculate and interpret the three sums of squares, SST, SSE, and SSR, and the coefficient of determination, r 2.
find and interpret the linear correlation coefficient, r.
identify the relationship between the linear correlation coefficient and the coefficient of determination.
Regarding the variables in a regression analysis,a. what is the independent variable called?b. what is the dependent variable called?In each of Problems 9–11, fill in the blank.
Based on the least-squares criterion, the line that best fits a set of data points is the one with the possible sum of squared errors.
The line that best fits a set of data points according to the leastsquares criterion is called the line.
Using a regression equation to make predictions for values of the predictor variable outside the range of the observed values of the predictor variable is called .
For each of the sums of squares in regression, state its name and what it measures.a. SSTb. SSRc. SSE In each of Problems 15–18, fill in the blank.
One use of the linear correlation coefficient is as a descriptive measure of the strength of the relationship between two variables.
Answer true or false to the following statement, and explain your answer: A strong correlation between two variables doesn’t necessarily mean that they’re causally related.Applying the Concepts
Machinery Depreciation. A company has procured machinery of worth $ 12,000 and plans to depreciate the value of the machinery by $ 1500 per year for 8 years. Let x denote the age of the machinery, in
Dropout Rates. Dropout rate—the percentage of students entering as freshmen but leaving before graduating, and what influences this is a major concern. From a certain Web article, we found data for
25 12.0 20
21 19.2 25
26 12.1 22
21 17.9 24
20 22.3a. Draw a scatter plot of the data.b. Is finding a regression line for the data reasonable? Explain your answer.c. Determine the regression equation for the data, and draw its graph on the
Dropout Rates. Refer to Problem 21.a. Determine SST, SSR, and SSE by using the computing formulas.b. Obtain the coefficient of determination.c. Obtain the percentage of the total variation in the
Dropout Rates. Refer to Problem 21.a. Compute the linear correlation coefficient, r.b. Interpret your answer from part (a) in terms of the linear relationship between average age and dropout rate.c.
Exotic Plants. In the article “Effects of Human Population,Area, and Time on Non-native Plant and Fish Diversity in the United States” (Biological Conservation, Vol. 100, No. 2, pp. 243–252),
IMR and Life Expectancy. From the International Data Base,published by the U.S. Census Bureau, we obtained data on infant mortality rate (IMR) and life expectancy (LE), in years, for a sample of 60
High Temperature and Precipitation. The National Oceanic and Atmospheric Administration publishes temperature and precipitation information for cities around the world in Climates of the World. Data
U.S. Open. From the website Golf.com, part of Sports Illustrated Sites, we obtained the scores for the first and second rounds of the 2013 U.S. Open golf tournament. You will find those scores on the
(Appendix) PURCHASES AND PURCHASES RETURNS. On November 6, Lubin Products purchased on credit 350 parts kits from Michaels Electronics for $38 per kit. Michaels paid $320 to have the kits shipped to
(Appendix) INVENTORY TURNOVER. A recent annual report for The Limited shows cost of goods sold for the year of approximately $5,286 million and average inventory of approximately $769 million during
The t-table has entries for areas of 0.10, 0.05, 0.025, 0.01, and 0.005. In contrast, the χ2-table has entries for those areas and for 0.995, 0.99, 0.975, 0.95, and 0.90. Explain why the t-values
For a χ2-curve with 19 degrees of freedom, determine theχ2-value that has areaa. 0.025 to its right.b. 0.01 to its right.
For a χ2-curve with 22 degrees of freedom, determine theχ2-value that has areaa. 0.01 to its right.b. 0.005 to its right.
For a χ2-curve with df = 10, determinea. χ2 0.05.b. χ2 0.025.
For a χ2-curve with df = 4, determinea. χ2 0.005.b. χ2 0.01.
Primary Heating Fuel. According to Current Housing Reports, published by the U.S. Census Bureau, the primary heating fuel for all occupied housing units is distributed as follows.Primary heating fuel
Meningiomas: Demographic profile of patients diagnosed with intracranial meningiomas is studied in two academic hospitals in Johannesburg, South Africa. The following table gives the
Freshmen Politics. The Higher Education Research Institute of the University of California, Los Angeles, publishes information on characteristics of incoming college freshmen in The American
Road Rage. The research article Road Rage: Prevalaence Pattern and web based survey Feasibility published by Hinawi Publishing Corporation by Shaily Mina, Rohit Verma, Yatan Pal Singh Balhara, and
M&M Colors. Observing that the proportion of blue M&Ms in his bowl of candy appeared to be less than that of the other colors, R. Fricker, Jr., decided to compare the color distribution in randomly
Wheel of Fortune: A wheel of fortune player has 7 symbols with 6 sections of null and 1 section each of the rest 6 symbols. The following table shows the frequency of each symbol in 150 trials.Symbol
Loaded Die? A gambler thinks a die may be loaded, that is, that the six numbers are not equally likely. To test his suspicion, he rolled the die 200 times and obtained the data shown in the following
Bottled Water. A project exploring the bottled-water phenomenon and preference of water types was conducted by researchers M. Lunsford and A. Fink in the article “Water Taste Test Data” (Journal
World Series. The World Series in baseball is won by the first team to win four games (ignoring the 1903 and 1919–1921 World Series, when it was a best of nine). Thus it takes at least four games
Variegated Plants. Arabidopsis is a genus of flowering plant related to cabbage. A variegated mutant of the Arabidopsis has yellow streaks or marks. E. Miura et al. studied the origin of this
Girls and Boys. One probability model for child gender is that a boy or a girl is equally likely to be born. If that model is correct, then, for a two-child family, the probabilities are 0.25, 0.50,
Presidential Election. According to Dave Leip’s Atlas of U.S. Presidential Elections, in the 2012 presidential election, 51.01% of those voting voted for the Democratic candidate(Barack H. Obama),
Physician Specialty. According to the document Physician Specialty Data Book, published by the Association of American Medical Colleges, in 2010, 12.9% of active male physicians specialized in
Gender and Class Level. Refer to Table 13.11. Consider the variables “gender” and “class level.”a. Group the bivariate data for these two variables into a contingency table.b. Determine the
Gender and College. Refer to Table 13.11. Consider the variables “gender” and “college.”a. Group the bivariate data for these two variables into a contingency table.b. Determine the
Class Level and College. Refer to Table 13.11. Consider the variables “class level” and “college.”a. Group the bivariate data for these two variables into a contingency table.b. Determine the
Party and Class. Refer to Table 13.12.a. Group the bivariate data for the two variables into a contingency table.b. Determine the conditional distribution of political party affiliation within each
Party and Class. Refer to Table 13.12.a. If you have not done Exercise 13.45, group the bivariate data for the two variables into a contingency table.b. Determine the conditional distribution of
AIDS Cases. According to the Centers for Disease Control and Prevention publication HIV Surveillance Report, the number of AIDS cases in the United States in 2011, by region and race, is as shown in
School Enrollment. The Current Population Survey from the U.S. Census Bureau provides data on school enrollment. The following contingency table shows school enrollment below postsecondary, in
Education of Prisoners. In the article “Education and Correctional Populations” (Bureau of Justice Statistics Special Report, NCJ 195670), C. Harlow examined the educational attainment of
U.S. Hospitals. The American Hospital Association publishes information about U.S. hospitals and nursing homes in Hospital Statistics. The following contingency table provides a crossclassification
Farms. The U.S. Department of Agriculture publishes information about U.S. farms in Census of Agriculture. A joint frequency distribution for number of farms, by acreage and tenure of operator, is
Housing Foundations. The U.S. Census Bureau publishes information about housing units in American Housing Survey for the United States. The following table cross-classifies single-unit occupied
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