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Elementary Statistics 8th Edition Neil A. Weiss - Solutions

a. Definition 4.7 on page 171.b. Formula 4.3 on page 171.Compare your answers in parts (a) and (b).
Following are the data on percentage of investments in energy securities and tax efficiency from Exercises 4.50 and 4.88.a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables in question. c. Discuss the graphical
Following are the age and price data for Corvettes from Exercises 4.51 and 4.89.a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables in question. c. Discuss the graphical interpretation of the value of r and verify
Following are the size and price data for custom homes from Exercises 4.52 and 4.90.a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables in question. c. Discuss the graphical interpretation of the value of r and
Following are the data on plant weight and quantity of volatile emissions from Exercises 4.53 and 4.91.a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables in question. c. Discuss the graphical interpretation of the
Following are the data on age and crown-rump length for fetuses from Exercises 4.54 and 4.92.a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables in question. c. Discuss the graphical interpretation of the value of r
Following are the data on study time and score for calculus students from Exercises 4.55 and 4.93.a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables in question. c. Discuss the graphical interpretation of the value
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 exam.a. What sort of value of r would you expect to find for these data? Explain your answer. b. Compute r.
Consider the following set of data points.a. Compute the linear correlation coefficient, r.b. Can you conclude from your answer in part (a) that the variables x and y are unrelated? Explain your answer.c. Draw a scatterplot for the data.d. Is use of the linear correlation coefficient as a
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = 3 + 4x
Consider the following set of data points.a. Compute the linear correlation coefficient, r. b. Can you conclude from your answer in part (a) that the variables x and y are linearly related? Explain your answer. c. Draw a scatterplot for the data. d. Is use of the linear correlation coefficient as a
The data from Exercise 4.64 for number of birdies during a tournament and final score for 63 women golfers are on the WeissStats CD. In exercise How important are birdies (a score of one under par on a given golf hole) in determining the final total score of a woman golfer? From the U.S. Women's
The data from Exercise 4.65 for the ages at inauguration and of death for the presidents of the United States are on the WeissStats CD. In exercise The Information Please Almanac provides data on the ages at inauguration and of death for the presidents of the United States. We give those data on
The data from Exercise 4.66 for percentage of gross domestic product (GDP) spent on health care and life expectancy, in years, for selected countries are on the WeissStats CD. Do the required parts separately for each gender.In exerciseFrom the Statistical Abstract of the United States, we obtained
The data from Exercise 4.68 for home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 4.135 are on the WeissStats CD.a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also
The data from Exercise 4.69 for average high and low temperatures in January for a random sample of 50 cities are on the WeissStats CD.a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).b. Obtain
The data on shell thickness and concentration of PCBs for 60 Anacapa pelican eggs from Exercise 4.70 are on the WeissStats CD.a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).b. Obtain the linear
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = −1 + 2x
The data from Exercise 4.104 for age and percentage of body fat for 18 randomly selected adults are on the WeissStats CD.a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).b. Obtain the linear
The data for estriol levels of pregnant women and birth weights of their children from Exercise 4.105 are on the WeissStats CD.a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).b. Obtain the linear
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. Moa et al. reported on determining fiber density by two different methods. Twenty samples of varying fiber density were
The coefficient of determination of a set of data points is 0.716. a. Can you determine the linear correlation coefficient? If yes, obtain it. If no, why not? b. Can you determine whether the slope of the regression line is positive or negative? Why or why not? c. If we tell you that the slope of
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, coauthored by S. Stack and J. Gundlach, appeared as the paper "The Effect of Country Music on Suicide" (Social Forces, Vol. 71,
Exercise 4.127.a. Construct a scatterplot for the data.b. Decide whether using the rank correlation coefficient is reasonable.c. Decide whether using the linear correlation coefficient is reasonable.d. Find and interpret the rank correlation coefficient.
Exercise 4.141.a. Construct a scatterplot for the data.b. Decide whether using the rank correlation coefficient is reasonable.c. Decide whether using the linear correlation coefficient is reasonable.d. Find and interpret the rank correlation coefficient.
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = 6 − 7x
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = −8 − 4x
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = 0.5x − 2
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = −0.75x − 5
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = 2
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = −3x
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = 1.5x
a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = −3
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.b. Find its equation.c. Use two points to graph the equation.5 and 2
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.b. Find its equation.c. Use two points to graph the equation.−3 and 4
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.b. Find its equation.c. Use two points to graph the equation.−2 and −3
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.b. Find its equation.c. Use two points to graph the equation.0.4 and 1
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.b. Find its equation.c. Use two points to graph the equation.0 and −0.5
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.b. Find its equation.c. Use two points to graph the equation.−1.5 and 0
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.b. Find its equation.c. Use two points to graph the equation.3 and 0
Consider the linear equation y = b0 + b1x. a. Identify and give the geometric interpretation of b0. b. Identify and give the geometric interpretation of b1.
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.b. Find its equation.c. Use two points to graph the equation.0 and 3
According to Hooke's law for springs, developed by Robert Hooke (1635-1703), the force exerted by a spring that has been compressed to a length x is given by the formula F = −k(x − x0), where x0 is the natural length of the spring and k is a constant, called the spring constant. A certain
The grade of a road is defined as the distance it rises (or falls) to the distance it runs horizontally, usually expressed as a percentage. Consider a road with positive grade, g.Suppose that you begin driving on that road at an altitude a0.a. Find the linear equation that expresses the altitude,
In this section, we stated that any nonvertical line can be described by an equation of the form y = b0 + b1x. a. Explain in detail why a vertical line can't be expressed in this form. b. What is the form of the equation of a vertical line? c. Does a vertical line have a slope? Explain your answer.
Regarding the criterion used to decide on the line that best fits a set of data points, a. What is that criterion called? b. Specifically, what is the criterion?
Fill in the blanks.a. In the context of regression, an ________ is a data point that lies far from the regression line, relative to the other data points.b. In regression analysis, an ________is a data point whose removal causes the regression equation to change considerably.
Answer true or false to each statement, and explain your answers. a. The graph of a linear equation slopes upward unless the slope is 0. b. The value of the y-intercept has no effect on the direction that the graph of a linear equation slopes.
Line A: y = 1.5 + 0.5xLine B: y = 1.125 + 0.375xa. Graph the linear equations and data points. b. Construct tables for x, y, Ë†y, e, and e 2 similar to Table 4.4 on page 151. c. Determine which line fits the set of data points better, according to the least-squares criterion.
Line A: y = 3 ˆ’ 0.6xLine B: y = 4 €“ xa. Graph the linear equations and data points. b. Construct tables for x, y, Ë†y, e, and e 2 similar to Table 4.4 on page 151. c. Determine which line fits the set of data points better, according to the least-squares criterion.
For a data set consisting of two data points: a. Identify the regression line. b. What is the sum of squared errors for the regression line? Explain your answer.
Refer to Exercise 4.42. For each of the following sets of data points, determine the regression equation both without and with the use of Formula 4.1 on page 152.a.b.
a. Find the regression equation for the data points.b. Graph the regression equation and the data points.
a. Find the regression equation for the data points.b. Graph the regression equation and the data points.
a. Find the regression equation for the data points.b. Graph the regression equation and the data points.
a. Find the regression equation for the data points.b. Graph the regression equation and the data points.
The data points in Exercise 4.40Line A: y = 1.5 + 0.5xLine B: y = 1.125 + 0.375x
The data points in Exercise 4.41Line A: y = 3 ˆ’ 0.6xLine B: y = 4 €“ x
During one month, the Avis Rent-A-Car rate for renting a Buick LeSabre in Mobile, Alabama, was $68.22 per day plus 25ɸ per mile. For a 1-day rental, let x denote the number of miles driven and let y denote the total cost, in dollars. a. Find the equation that expresses y in terms of x. b.
Tax efficiency is a measure, ranging from 0 to 100, of how much tax due to capital gains stock or mutual funds investors pay on their investments each year; the higher the tax efficiency, the lower is the tax. In the article "At the Mercy of the Manager" (Financial Planning, Vol. 30(5), pp.
The Kelley Blue Book provides information on wholesale and retail prices of cars. Following are age and price data for 10 randomly selected Corvettes between 1 and 6 years old. Here, x denotes age, in years, and y denotes price, in hundreds of dollars. For part (g), predict the prices of a
Hanna Properties specializes in custom home resales in the Equestrian Estates, an exclusive subdivision in Phoenix, Arizona. A random sample of nine custom homes currently listed for sale provided the following information on size and price. Here, x denotes size, in hundreds of square feet, rounded
Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses.N. Agelopolous et al. examined factors that affect the emission of volatile compounds by the potato plant Solanum tuberosom and published their findings in the paper "Factors Affecting
In the article €œThe Human Vomeronasal Organ. Part II: Prenatal Development€ (Journal of Anatomy, Vol. 197, Issue 3, pp. 421€“436), T. Smith and K. Bhatnagar examined the controversial issue of the human vomeronasal organ, regarding its structure, function, and
An instructor at Arizona State University asked a random sample of eight students to record their study times in a beginning calculus course. She then made a table for total hours studied (x) over 2 weeks and test score (y) at the end of the 2 weeks. Here are the results. For part (g), predict the
For which of the following sets of data points can you reasonably determine a regression line? Explain your answer.
For which of the following sets of data points can you reasonably determine a regression line? Explain your answer.
In Exercise 4.50, you determined a regression equation that relates the variables percentage of investments in energy securities and tax efficiency for mutual fund portfolios. a. Should that regression equation be used to predict the tax efficiency of a mutual fund portfolio with 6.4% of its
In Exercise 4.51, you determined a regression equation that can be used to predict the price of a Corvette, given its age.a. Should that regression equation be used to predict the price of a 4-year-old Corvette? a 10-year-old Corvette? Explain your answers.b. For which ages is use of the regression
The 2000 U.S. presidential election brought great controversy to the election process. Many voters in Palm Beach, Florida, claimed that they were confused by the ballot format and may have accidentally voted for Pat Buchanan when they intended to vote for Al Gore. Professors G. D. Adams of Carnegie
The negative relation between study time and test score found in Exercise 4.55 has been discovered by many investigators. Provide a possible explanation for it.
In Table 4.2, we provided data on age and price for a sample of 11 Orions between 2 and 7 years old. On the WeissStats CD, we have given the ages and prices for a sample of 31 Orions between 1 and 11 years old. a. Obtain a scatterplot for the data. b. Is it reasonable to find a regression line for
In the paper "Mating System and Sex Allocation in the Gregarious Parasitoid Cotesia glomerata" (Animal Behaviour, Vol. 66, pp. 259-264), H. Gu and S. Dorn reported on various aspects of the mating system and sex allocation strategy of the wasp C. glomerata. One part of the study involved the
How important are birdies (a score of one under par on a given golf hole) in determining the final total score of a woman golfer? From the U.S. Women's OpenWeb site, we obtained data on number of birdies during a tournament and final score for 63 women golfers. The data are presented on the
The Information Please Almanac provides data on the ages at inauguration and of death for the presidents of the United States. We give those data on the WeissStats CD for those presidents who are not still living at the time of this writing.a. Obtain a scatterplot for the data.b. Decide whether
From the Statistical Abstract of the United States, we obtained data on percentage of gross domestic product (GDP) spent on health care and life expectancy, in years, for selected countries. Those data are provided on the WeissStats CD. Do the required parts separately for each gender.a. Obtain a
The document Arizona Residential Property Valuation System, published by the Arizona Department of Revenue, describes how county assessors use computerized systems to value single-family residential properties for property tax purposes. On the WeissStats CD are data on lot size (in acres) and
On the WeissStats CD are data on home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 4.67.a. Obtain a scatterplot for the data.b. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)–(f).c.
The National Oceanic and Atmospheric Administration publishes temperature information of cities around the world in Climates of the World. A random sample of 50 cities gave the data on average high and low temperatures in January shown on the WeissStats CD.a. Obtain a scatterplot for the data.b.
Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be a great danger to natural ecosystems. In a study by R. W. Risebrough titled "Effects of Environmental Pollutants Upon Animals Other Than Man" (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI,
Does a higher state per capita income equate to a higher per capita beer consumption? From the document Survey of Current Business, published by the U.S. Bureau of Economic Analysis, and from the Brewer's Almanac, published by the Beer Institute, we obtained data on personal income per capita, in
The magazine Consumer Reports publishes information on automobile gas mileage and variables that affect gas mileage. In one issue, data on gas mileage (in miles per gallon) and engine displacement (in liters) were published for 121 vehicles. Those data are available on the WeissStats CD. a. Obtain
An issue of BARRON'S presented information on top wealth managers in the United States based on individual clients with accounts of $1 million or more. Data were given for various variables, two of which were number of private client managers and private client assets. Those data are provided on
The ability to estimate the volume of a tree based on a simple measurement, such as the tree's diameter, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines were reported in C. Bruce
Exercise 4.47.a. Use Equation (4.1) to determine the sample covariance.b. Use Equation (4.2) and your answer from part (a) to find the regression equation. Compare your result to that found in the specified exercise.A collection of observations of a variable y taken at regular intervals over time
Exercise 4.46.a. Use Equation (4.1) to determine the sample covariance. b. Use Equation (4.2) and your answer from part (a) to find the regression equation. Compare your result to that found in the specified exercise. A collection of observations of a variable y taken at regular intervals over time
The U.S. Census Bureau publishes information on the population of the United States in Current Population Reports. The following table gives the resident U.S. population, in millions of persons, for the years 1990-2009. Forecast the U.S. population in the years 2010 and 2011.a. Obtain a scatterplot
Is there evidence of global warming in the records of ice cover on lakes? If Earth is getting warmer, lakes that freeze over in the winter should be covered with ice for shorter periods of time as Earth gradually warms. R. Bohanan examined records of ice duration for Lake Mendota at Madison, WI, in
In this section, we introduced a descriptive measure of the utility of the regression equation for making predictions. Do the following for that descriptive measure. a. Identify the term and symbol. b. Provide an interpretation.
Fill in the blanks. a. A measure of total variation in the observed values of the response variable is the _________. The mathematical abbreviation for it is _________. b. A measure of the amount of variation in the observed values of the response variable explained by the regression is the
For a particular regression analysis, SST = 8291.0 and SSR = 7626.6. a. Obtain and interpret the coefficient of determination. b. Determine SSE.
y-bar = 2 + xa. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas (page 164).b. Verify the regression identity, SST = SSR + SSE.c. Compute the coefficient of determination.d. Determine the percentage of variation in the observed values of the response variable that
y-bar = 1 ˆ’ 2xa. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas (page 164).b. Verify the regression identity, SST = SSR + SSE.c. Compute the coefficient of determination.d. Determine the percentage of variation in the observed values of the response variable
y-bar = 1 + 2xa. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas (page 164). b. Verify the regression identity, SST = SSR + SSE. c. Compute the coefficient of determination. d. Determine the percentage of variation in the observed values of the response variable
y-bar = ˆ’3 + 2xa. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas (page 164). b. Verify the regression identity, SST = SSR + SSE. c. Compute the coefficient of determination. d. Determine the percentage of variation in the observed values of the response
y-bar = 1.75 + 0.25xa. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas (page 164). b. Verify the regression identity, SST = SSR + SSE. c. Compute the coefficient of determination. d. Determine the percentage of variation in the observed values of the response
y-bar = 2.875 ˆ’ 0.625xa. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas (page 164). b. Verify the regression identity, SST = SSR + SSE. c. Compute the coefficient of determination. d. Determine the percentage of variation in the observed values of the
Following are the data on percentage of investments in energy securities and tax efficiency from Exercise 4.50.a. Compute SST, SSR, and SSE, using Formula 4.2 on page 167. b. Compute the coefficient of determination, r 2. c. Determine the percentage of variation in the observed values of the
Following are the age and price data for Corvettes from Exercise 4.51:a. Compute SST, SSR, and SSE, using Formula 4.2 on page 167. b. Compute the coefficient of determination, r2. c. Determine the percentage of variation in the observed values of the response variable explained by the regression,
y = 68.22 + 0.25x (from Exercise 4.5) a. Find the y-intercept and slope of the specified linear equation. b. Explain what the y-intercept and slope represent in terms of the graph of the equation. c. Explain what the y-intercept and slope represent in terms relating to the application.

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