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Statistics Plus New Mylab Statistics With Pearson Etext Access Card Package 13th Edition James Mcclave ,Terry Sincich - Solutions
Here are data from the ANES unique group of sad men on two variables:whether a respondent owns a gun and whether he thinks there should be more gun control:Sad Man 1 no gun, against gun control Sad Man 2 yes gun, against gun control Sad Man 3 no gun, for gun control Sad Man 4 no gun, for gun
Here are the wiretapping index scores for the ANES unique group of white women smokers who claim to be in excellent health:0, 1, 2, 3, 2, 1, 3, 0, 1, 4, 0, 0, 1, 0 Build a complete frequency distribution using these data.
a graph in a top social science journal that lies
the ways graphs can lie, and how to spot such lies
how to choose appropriate graphs for one, two, and three variables
elaboration, in which we use crosstabulations across multiple groups
troubleshooting a crosstabulation, and how to fix the trouble you find
how to build a crosstabulation to summarize the relationship between two variables
how to build a frequency distribution to summarize a variable
Performance in online courses. Florida State University information scientists assessed the impact of online courses on student performance (Educational Technology& Society, Jan. 2005). Each in a sample of 24 graduate students enrolled in an online advanced Web application course was asked, “How
Dance/movement therapy. In cotherapy, two or more therapists lead a group. An article in the American Journal of Dance Therapy (Spring/Summer 1995) examined the use of cotherapy in dance/movement therapy. Two of several variables measured on each of a sample of 136 professional dance/movement
Relation of eye and head movements. How do eye and head movements relate to body movements when a person reacts to a visual stimulus? Scientists at the California Institute of Technology designed an experiment to answer this question and reported their results in Nature (Aug. 1998). Adult male
Removing metal from water. In the Electronic Journal of Biotechnology (Apr. 15, 2004), Egyptian scientists studied a new method for removing heavy metals from water. Metal solutions were prepared in glass vessels, and then biosorption was used to remove the metal ions. Two variables were measured
Sports news on local TV broadcasts. The Sports Journal(Winter 2004) published the results of a study conducted to assess the factors that affect the time allotted to sports news on local television news broadcasts. Information on total time (in minutes) allotted to sports and on audience ratings of
In fitting a least squares line to n = 20 data points, the following quantities were computed: SSxx = 60, SSyy = 225, SSxy = -75, x = 2.4, and y = 45.a. Find the least squares line.b. Graph the least squares line.c. Calculate SSE.d. Calculate s2.e. Find a 90% confidence interval for b1. Interpret
True or False. In simple linear regression, about 95% of the y-values in the sample will fall within 2s of their respective predicted values.
Give the general form of a straight-line model for E(y).
Life tests of cutting tools. Refer to the data on life tests of cutting tools, Exercise 11.52(p. 636).a. Use a 90% confidence interval to estimate the mean useful life of a brand-A cutting tool when the cutting speed is 45 meters per minute. Repeat for brand B.Compare the widths of the two
Spreading rate of spilled liquid. Refer to the Chemicial Engineering Progress (Jan. 2005) study of the rate at which a spilled volatile liquid will spread across a surface, presented in Exercise 11.35(p. 630). Recall that simple linear regression was used to model y = mass of the spill as a
The “name game.” Refer to the Journal of Experimental Psychology—Applied (June 2000) name-retrieval study, presented in Exercise 11.34(p. 630).a. Find a 99% confidence interval for the mean recall proportion for students in the fifth position during the “name game.” Interpret the
Ideal height of your mate. Refer to the Chance (Summer 2008) study of the height of the ideal mate, Exercise 11.33(p. 629). The data were used to fit the simple linear regression model, E1y2 = b0 + b1x, where y = ideal partner’s height (in inches) and x = student’s height (in inches). One model
Sound waves from a basketball. Refer to the American Journal of Physics (June 2010) study of sound waves in a spherical cavity, Exercise 11.31(p. 629). You fit a straight-line model relating sound wave frequency (y)to number of resonances (x) for n = 24 echoes resulting from striking a basketball
Game performance of water polo players. Refer to the Biology of Sport (Vol. 31, 2014) study of the physiological performance of top-level water polo players, Exercise 11.24(p. 626). Recall that the in-game heart rate (y, expressed as a percentage of maximum heart rate) of a player was modeled as a
Do nice guys finish first or last? Refer to the Nature (Mar.20, 2008) study of the use of punishment in cooperation games, Exercise 11.22(p. 625). Recall that simple linear regression was used to model a player’s average payoff(y) as a straight-line function of the number of times punishment was
Refer to Exercise 11.107.a. Using no information about x, estimate and calculate a 95% confidence interval for the mean value of y. [Hint: Use the one-sample t methodology of Section 7.3.]b. Plot the estimated mean value and the confidence interval as horizontal lines on your scatterplot.c. Compare
In fitting a least squares line to n = 5 data points, the following quantities were computed:SSxx = 31, x = 2, SSyy = 24, y = 6, SSxy = 26a. Find the least squares line.b. Graph the least squares line.c. Calculate SSE.d. Calculate s2.e. Find a 90% confidence interval for the mean value of y when xp
True or False. The greater the deviation between x and x, the wider the prediction interval for y will be.
True or False. For a given x, a confidence interval for E(y) will always be wider than a prediction interval for y.
Pain tolerance study. A study published in Psychosomatic Medicine (Mar./Apr. 2001) explored the relationship between reported severity of pain and actual pain tolerance in 337 patients who suffer from chronic pain. Each patient reported his/her severity of chronic pain on a seven-point scale 11 =
Effect of massage on boxing. Refer to the British Journal of Sports Medicine (Apr. 2000) study of the effect of massage on boxing performance, presented in Exercise 11.70(p. 643).Find and interpret the values of r and r2 for the simple linear regression relating the blood lactate concentration and
The “name game.” Refer to the Journal of Experimental Psychology—Applied (June 2000) name-retrieval study, first presented in Exercise 11.34(p. 630). Find and interpret the values of r and r2 for the simple linear regression relating the proportion of names recalled (y) and the position
Do nice guys finish first or last? Refer to the Nature (Mar. 20, 2008) study of the use of punishment in cooperation games, Exercise 11.22(p. 625). Recall that college students repeatedly played a version of the game “prisoner’s dilemma”and the researchers recorded the average payoff (y) and
Eye anatomy of giraffes. Refer to the African Zoology (Oct.2013) study of giraffe eye characteristics, Exercise 11.71(p. 643). Recall that the researchers fit a simple linear regression equation of the form ln 1y2 = b0 + b1 ln 1x2 + e, where y represents an eye characteristic and x represents body
Redshifts of quasi-stellar objects. Refer to the Journal of Astrophysics & Astronomy (Mar./Jun. 2003) study of redshifts in quasi-stellar objects presented in Exercise 11.27(p. 627). Recall that simple linear regression was used to model the magnitude (y) of a quasi-stellar object as a function of
Physical activity of obese young adults. Refer to the International Journal of Obesity (Jan. 2007) study of the physical activity of obese young adults, presented in Exercise 6.37 (p. 331). For two groups of young adults—13 obese and 15 of normal weight—researchers recorded the total number of
Lobster fishing study. Refer to the Bulletin of Marine Science (Apr. 2010) study of teams of fishermen fishing for the red spiny lobster in Baja California Sur, Mexico, Exercise 11.63(p. 642). Recall that simple linear regression was used to model y = total catch of lobsters (in kilograms)during
Going for it on fourth down in the NFL. Each week coaches in the National Football League (NFL) face a decision during the game. On fourth down, should the team punt the ball or go for a first down? To aid in the decision-making process, statisticians at California State University, Northridge,
Last name and acquisition timing. Refer to the Journal of Consumer Research (Aug. 2011) study of the speed with which consumers decide to purchase a product, Exercise 9.14 (p. 476). Recall that the researchers theorized that consumers with last names that begin with letters later in the alphabet
RateMyProfessors.com. A popular Web site among college students is RateMyProfessors.com (RMP). Established over 10 years ago, RMP allows students to post quantitative ratings of their instructors. In Practical Assessment, Research & Evaluation (May 2007), University of Maine researchers
Calculate r2 for the least squares line in Exercise 11.21(p. 625).
Calculate r2 for the least squares line in Exercise 11.18(p. 625).
True or False. A value of the correlation coefficient near 1 or near -1 implies a causal relationship between x and y.
Describe the slope of the least squares regression line for the given information.a. r = -.4b. r = .4c. r = 0d. r2= .81
True or False. The correlation coefficient is a measure of the strength of the linear relationship between x and y.
Spreading rate of spilled liquid. Refer to the Chemical Engineering Progress (Jan. 2005) study of the rate at which a spilled volatile liquid will spread across a surface, Exercise 11.35(p. 630). Is there sufficient evidence (at a = .05) to indicate that the mass of the spill tends to diminish
The “name game.” Refer to the Journal of Experimental Psychology—Applied (June 2000) name-retrieval study, presented in Exercise 11.34(p. 630). Recall that the goal of the study was to investigate the linear trend between proportion of names recalled (y) and position (order) of the student(x)
Eye anatomy of giraffes. Giraffes are believed to have excellent vision. The journal African Zoology (Oct.2013) published a study of giraffe eye characteristics.Data were collected for a sample of 27 giraffes inhabiting southeastern Zimbabwe. Of interest to the researchers was how these eye
Ideal height of your mate. Refer to the Chance (Summer 2008) study of the height of the ideal mate, Exercise 11.33(p. 629). You used the data to fit the simple linear regression model E1y2 = b0 + b1x, where y = ideal partner’s height (in inches) and x = student’s height (in inches), for both
Sweetness of orange juice. Refer to Exercise 11.32(p. 629) and the simple linear regression relating the sweetness index (y) of an orange juice sample to the amount of water-soluble pectin (x) in the juice. Find a 95% confidence interval for the true slope of the line.Interpret the result.
FCAT scores and poverty. Refer to the Journal of Educational and Behavioral Statistics (Spring 2004) study of scores on the Florida Comprehensive Assessment Test (FCAT), first presented in Exercise 11.30(p. 628).Consider the simple linear regression relating math score(y) to percentage (x) of
Ranking driving performance of professional golfers.Refer to The Sport Journal (Winter 2007) study of a new method for ranking the total driving performance of golfers on the Professional Golf Association (PGA) tour, presented in Exercise 11.29(p. 628). You fit a straight-line model relating
Generation Y’s entitlement mentality. The current workforce is dominated by “Generation Y”—people born between 1982 and 1999. These workers have a reputation as having an entitlement mentality (e.g., they believe they have a right to a high-paying job without the work ethic). The reasons
Congress voting on women’s issues. The American Economic Review (Mar. 2008) published research on how the gender mix of a U.S. legislator’s children can influence the legislator’s votes in Congress. Specifically, the researcher investigated how having daughters influences voting on women’s
Construct both a 95% and a 90% confidence interval for b1 for each of the following cases.a. b n 1 = 32, s = 4, SSxx = 32, n = 10b. b n 1 = 65, SSE = 1,860, SSxx = 20, n = 14c. b n 1 = -8.4, SSE = 143, SSxx = 49, n = 18
For each of the following 99% confidence intervals for b1 in simple linear regression, decide whether there is evidence of a positive or negative linear relationship between y and x:a. (8, 80)b. 1 -51, -132c. 1 -37, 1032
How do you adjust the p-value obtained from a computer printout when you perform an upper-tailed test of b1 in simple linear regression when t 7 0?
What conditions are required for valid inferences about the b’s in simple linear regression?
In the equation E1y2 = b0 + b1 x, what is the value of b1 if x has no linear relationship to y?
Ideal height of your mate. Refer to the Chance (Summer 2008) study of the height of the ideal mate, Exercise 11.33(p. 629). The data were used to fit the simple linear regression model, E1y2 = b0 + b1x, where y = ideal partner’s height (in inches) and x = student’s height (in inches).a. Fit the
FCAT scores and poverty. Refer to the Journal of Educational and Behavioral Statistics (Spring 2004) study of scores on the Florida Comprehensive Assessment Test(FCAT), presented in Exercise 11.30(p. 628).a. Consider the simple linear regression relating math score (y) to percentage (x) of students
Detecting rapid visual targets. When two targets are presented close together in a rapid visual stream, the second target is often missed. Psychologists call this phenomenon the attentional blink (AB). A study published in Advances in Cognitive Psychology (July 2013) investigated whether
Mongolian desert ants. Refer to the Journal of Biogeography (Dec. 2003) study of ant sites in Mongolia, presented in Exercise 11.26(p. 627). The data were used to estimate the straight-line model relating annual rainfall (y)to maximum daily temperature (x).a. Give the values of SSE, s2, and s,
Quantitative models of music. Chance (Fall 2004) published a study on modeling a certain pitch of a musical composition. Data on 147 famous compositions were used to model the number of times (y) a certain pitch occurs—called entropy—as a straight-line function of year of birth(x) of the
Game performance of water polo players. Refer to the Biology of Sport (Vol. 31, 2014) study of the physiological performance of top-level water polo players, Exercise 11.24(p. 626). Recall that data for eight Olympic male water polo players were used to model y = mean heart rate as a straight-line
Measuring the moon’s orbit. Refer to the American Journal of Physics (Apr. 2014) study of the moon’s orbit, Exercise 11.23(p. 626). Recall that the angular size (y) of the moon was modeled as a straight-line function of height above horizon (x). Find an estimate of s, the standard deviation of
Do nice guys really finish last? Refer to the Nature (Mar.20, 2008) study of whether “nice guys finish last,” Exercise 11.22(p. 625). Recall that Boston-area college students repeatedly played a version of the game “prisoner’s dilemma,”where competitors choose cooperation, defection, or
Refer to Exercises 11.18 and 11.21(p. 625). Calculate SSE, s2, and s for the least squares lines obtained in those exercises.Interpret the standard errors of the regression model for each.
Suppose you fit a least squares line to 12 data points and the calculated value of SSE is .429.a. Find s2, the estimator of s2 (the variance of the random error term e).b. Find s, the estimate of s.c. What is the largest deviation that you might expect between any one of the 12 points and the least
Redshifts of quasi-stellar objects. Astronomers call a shift in the spectrum of galaxies a “redshift.” A correlation between redshift level and apparent magnitude(i.e., brightness on a logarithmic scale) of a quasi-stellar object was discovered and reported in the Journal of Astrophysics &
True or False. The estimates of b0 and b1 should be interpreted only within the sampled range of the independent variable, x.
In regression, what is an error of prediction?
Forecasting movie revenues with Twitter. A study presented at the 2010 IEEE International Conference on Web Intelligence and Intelligent Agent Technology investigated whether the volume of chatter on Twitter.com could be used to forecast the box office revenues of movies. For each in a sample of 24
Estimating repair and replacement costs of water pipes.A team of civil engineers used simple linear regression analysis to model the ratio of repair to replacement cost of commercial pipe as a function of the pipe’s diameter (IHS Journal of Hydraulic Engineering, Sept. 2012).a. In this study,
Game performance of water polo players. The journal Biology of Sport (Vol. 31, 2014) published a study of the physiological performance of top-level water polo players.Eight Olympic male water polo players participated in the study. Two variables were measured for each during competition: mean
Measuring the moon’s orbit. A handheld digital camera was used to photograph the moon’s orbit and the pictures used to measure the angular size (in pixels) of the moon at various distances (heights) above the horizon (American Journal of Physics, April 2014). The photographer wanted to predict
Give the slope and y-intercept for each of the lines defined in Exercise 11.9.
Plot the following lines:a. y = 2 + xb. y = 3 - 4xc. y = -3 + 4xd. y = -2xe. y = xf. y = .55 + 2.5x
Refer to Exercise 11.7. Find the equations of the lines that pass through the points listed in Exercise 11.5.
The equation for a straight line (deterministic model) is y = b0 + b1x If the line passes through the point 1 -5, 12, then x = -5, y = 1 must satisfy the equation; that is, 1 = b0 + b11 -52 Similarly, if the line passes through the point (8, 12), then x = 8, y = 12 must satisfy the equation; that
Give the slope and y-intercept for each of the lines graphed in Exercise 11.5.
In each case, graph the line that passes through the given points.a. (2, 2) and (7, 7)b. (0, 7) and (7, 0)c. 1 -2, 32 and (6, 4)d. 1 -5, -32 and (3, 4)
What is the difference between a dependent variable and an independent variable in a probabilistic model?
Why do we generally prefer a probabilistic model to a deterministic model? Give examples for which the two types of models might be appropriate.
Commercial eggs produced from different housing systems. In the production of commercial eggs, four different types of housing systems for the chickens are used: cage, barn, free range, and organic. The characteristics of eggs produced from the four housing systems were investigated in Food
A new dental bonding agent. Refer to the Trends in Biomaterials & Artificial Organs (Jan. 2003) study of a bonding adhesive for teeth, presented in Exercise 8.154(p. 455). Recall that the adhesive (called “Smartbond”) has been developed to eliminate the necessity of a dry field. In one portion
Extinct New Zealand birds. Refer to the Evolutionary Ecology Research (July 2003) study of extinction in the New Zealand bird population, presented in Exercise 1.20(p. 49). Recall that biologists measured the body mass (in grams) and type of habitat (aquatic, ground terrestrial, or aerial
Accounting and Machiavellianism. A study of Machiavellian traits in accountants was published in Behavioral Research in Accounting (Jan. 2008).Machiavellian describes negative character traits such as manipulation, cunning, duplicity, deception, and bad faith. A Machiavellian (“Mach”) rating
What is the difference between a design study and an observational study?
What are the treatments in a two-factor experiment with factor A at two levels and factor B at three levels?
Determine the number of pairwise comparisons of treatment means.
How do you determine the nature of the treatment effect on the response in factorial experiment?
Testing a new pain-relief tablet. Refer to the Tropical Journal of Pharmaceutical Research (June 2003) study of the impact of binding agent, binding concentration, and relative density on the mean dissolution time of pain-relief tablets, presented in Exercise 10.16(p. 538). Recall that binding
Eyewitnesses and mug shots. When an eyewitness to a crime examines a set of mug shots at a police station, the photos are usually presented in groups (e.g., 6 mug shots at a time). Criminologists investigated whether mug shot group size has an effect on the selections made by eyewitnesses(Applied
Virtual-reality-based rehabilitation systems. In Robotica(Vol. 22, 2004), researchers described a study of the effectiveness of display devices for three virtual-reality(VR)-based hand rehabilitation systems. Display device A is a projector, device B is a desktop computer monitor, and device C is a
Egg shell quality in laying hens. In Animal Feed Science and Technology (June 2010) researchers investigated the effect of hen’s age and limestone diet on eggshell quality.Two different diets were studied: fine limestone (FL)and coarse limestone (CL). Hens were classified as either younger hens
Suppose a 3 * 3 factorial experiment is conducted with three replications. Assume that SS1Total2 = 1,000. For each of the following scenarios, form an ANOVA table, conduct the appropriate tests, and interpret the results:a. The sum of squares of factor A main effect [SS(A)]is 20% of SS(Total), the
Suppose you conduct a 4 * 3 factorial experiment.a. How many factors are used in this experiment?b. Can you determine the type(s) of factors—qualitative or quantitative—from the information given? Explain.c. Can you determine the number of levels used for each factor? Explain.d. Describe a
True or False. Factor interactions are used to determine whether the factors affect the response separately.
True or False. Completely randomized design is a balanced design.
Explain the difference between a single factor and a complete factorial experiment.
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