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statistics

Questions and Answers of Statistics

Recall that simple linear regression was used to model y = mass of the spill as a function of x = elapsed time of the spill.a. Find a 99% confidence interval for the mean mass of all spills with an
Managers are an important part of any organization's resource base. Accordingly, the organization should be just as concerned about forecasting its future managerial needs as it is with forecasting
The reasons given by workers for quitting their jobs generally fall into one of two categories: (1) worker quits to seek or take a different job, or (2) worker quits to withdraw from the labor force.
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 intervals
Prices of recycled materials (e.g., plastics, paper, and glass) are highly volatile due to the fact that supply is constant, rather than tied to demand. An exploratory study of the prices of recycled
Refer to the International Conference on Web Intelligence and Intelligent Agent Technology (2010) study of how social media (e.g., Twitter.com) may influence the products consumers buy, Recall that
The importance of having employees with a healthy work-life balance has been recognized by U.S. companies for decades. Many business schools offer courses that assist MBA students with developing
Consider the following sample data:a. Construct a scatter plot for the data. b. It is possible to find many lines for which ˆ‘(y - ) = 0. For this reason, the criterion ˆ‘(y - ) =
Consider the following 10 data points:a. Plot the data on a scatter plot.b. Calculate the values of r and r2.c. Is there sufficient evidence to indicate that x and y are linearly correlated? Test at
Effective management of one's own career requires a skill set that includes adaptability, tolerance for ambiguity, self-awareness, and ability to identify change. Management professors at Pace
Emotional exhaustion, or burnout, is a significant problem for people with careers in the field of human services. Regression analysis was used to investigate the relationship between burnout and
Individuals who report perceived wrongdoing of a corporation or public agency are known as whistle-blowers. Two researchers developed an index to measure the extent of retaliation against a
Write a first-order model relating E(y) to a. Two quantitative independent variables. b. Four quantitative independent variables. c. Five quantitative independent variables.
Recall that opening weekend box office revenue data (in millions of dollars) were collected for a sample of 24 recent movies. In addition to each movie's tweet rate, i.e., the average number of
An article in the Community Mental Health Journal (Aug. 2000) used multiple regression analysis to model the level of community adjustment of clients of the Department of Mental Health and Addiction
Recall that the Harvard Business School professors used regression to model the relative optimism (y) of the analysts' 3-month horizon forecasts as a function of x1 = {1 if the analyst worked for a
Recall that multiple regression was used to model an employee's intention to leave (y) as a function of bullying (x1, measured on a quantitative scale) and perceived organizational support (measured
Refer to the Journal of Engineering for Gas Turbines and Power (Jan. 2005) study of a high-pressure inlet fogging method for a gas turbine engine. Exercise 12.19. Consider a model for heat rate
Recall that y = task performance score (measured on a 30-point scale) was modeled as a function of x1 = conscientiousness score (measured on a scale of -3 to +3) and x2 = {1 if highly complex job, 0
Recall that psychologists modeled desire to have cosmetic surgery (y) as a function of gender (x1), self-esteem (x2), body satisfaction (x3), and impression of reality TV (x4). The psychologists
"Moonlighters" are workers who hold two jobs at the same time. What are the factors that impact the likelihood of a moonlighting worker becoming aggressive toward his/her supervisor? This was the
The researchers modeled mean income, E(y), as a function of both agreeableness score (x1) and a dummy variable for gender (x2 = 1 if male, 0 if female). Suppose the researchers theorize that for
You fit a complete second-order model for E(y) as a function of region and sales volume. a. Conduct a nested-model F-test to determine whether the quadratic terms in the model are statistically
Because glass is not subject to radiation damage, encapsulation of waste in glass is considered to be one of the most promising solutions to the problem of low-level nuclear waste in the environment.
Recall that a Mach rating score was determined for each in a sample of accounting alumni of a large southwestern university. For one portion of the study, the researcher modeled an accountant's Mach
There are six independent variables, x1,x2,x3,x4,x5, and x6. that might be useful in predicting a response y. A total of n = 50 observations is available, and it is decided to employ stepwise
In Economic Policy (January 2011), researchers from the London School of Economics conducted a cross-country analysis of the relationship between teacher's pay and pupils' performance. Data collected
Benefits Quarterly (First Mil Quarter, 1995) published a study of entry-level job preferences. A number of independent variables were used to model the job preferences (measured on a 10-point scale)
Corn is high in starch content; consequently, it is considered excellent feed for domestic chickens. Does corn possess the same potential in feeding ducks bred for broiling? This was the subject of
Recall that psychologists modeled desire to have cosmetic surgery (y) as a function of gender (x1), self-esteem (x2), body satisfaction (x3), and impression of reality TV (x4). Suppose you want to
Bus Rapid Transit (BRT) is a rapidly growing trend in the provision of public transportation in America. The Center for Urban Transportation Research (CUTR) at the University of South Florida
A marine biologist was hired by the EPA to determine whether the hot-water runoff from a particular power plant located near a large gulf is having an adverse effect on the marine life in the area.
Consider fitting the multiple regression modelE(y) = Î²0 + Î²1x1 + Î²2x2 + Î²3x3 +Î²4x4 +Î²5x5A matrix of correlations for all pairs
During new product development, companies often involve "lead users," i.e., creative individuals who are on the leading edge of an important market trend. Creativity and Innovation Management (Feb.
Identify the problem(s) in each of the residual plots shown below.
Some states permit only licensed firms to sell funeral goods (e.g., caskets, urns) to the consumer, while other states have no restrictions. States with casket sales restrictions are being challenged
Monthly data (n = 252 months) were collected for several variables in an attempt to model the number of females in managerial positions (y).The independent variables included the number of females
The Professional Geographer (Feb. 2000) published a study of urban and rural counties in the western United States. Six independent variables total county population (x1), population density (x2),
Simulated data for the study is saved in the file. In Exercise 12.17, you fit the first-order model. E(y) = β0 + β1x1 + β2x2 + β3x3 + β4x4,where y = desire to have cosmetic surgery, x1 is a
Recall that the researchers modeled mean income, E(y), as a function of both agreeableness score (x1) and a dummy variable for gender (x2 = 1 if male, 0 if female). Use the data saved in the file to
Suppose you have developed a regression model to explain the relationship between y and x1, x2, and x3. The ranges of the variables you observed were as follows: 10 ≤ y ≤ 100, 5≤ x1 ≤ 55,
When a multiple regression model is used for estimating the mean of the dependent variable and for predicting a new value of y. which will be narrower the confidence interval for the mean or the
Suppose you fit the model y = β0 + β1x1 + β2x21 + β3x2 +β4x22 +β5x1x22 + ε to n = 25 data points with the following results: a. Is there sufficient evidence to conclude that at least one of
Suppose you used Minitab to fit the modely = Î²0 + Î²1x1 + Î²2x2 + Îµto n = 15 data points and obtained the printout shown below.a. What is the least
Write a model relating E(y) to one qualitative independent variable that is at four levels. Define all the terms in your model.
It is desired to relate E(y) to a quantitative variable x1 and a qualitative variable at three levels.a. Write a first-order model.b. Write a model that will graph as three different second-order
Explain why stepwise regression is used. What is its value in the model-building process? Discuss.
In Chance (Fall 2000), statistician Scott Berry built a multiple regression model for predicting total number of runs scored by a Major League Baseball team during a season. Using data on all teams
Consider relating E(y) to two quantitative independent variables x1 and x2.a. Write a first-order model for E(y).b. Write a complete second-order model for E(y).
To model the relationship between y, a dependent variable, and x, an independent variable, a researcher has taken one measurement on y at each of three different x values. Drawing on his mathematical
Suppose you fit the regression modelE(y) = β0 + β1x1 + β2x2 + β3x22 +β4x1x2 +β5x1x22to n = 35 data points and wish to test the null hypothesis H0: β4 = β5 = 0.a. State the alternative
According to the Chronicle of Higher Education Almanac, 4-year private colleges charge, on average, five times as much for tuition and fees than 4-year public colleges. In order to estimate the true
Research scientists at the Educational Testing Service (ETS) used multiple regression analysis to model y, the final grade point average (GPA) of business and management doctoral students. A list of
The Florida Citrus Commission is interested in evaluating the performance of two orange juice extractors, brand A and brand B. It is believed that the size of the fruit used in the test may influence
Scientists believe that a major cause of global warming is higher levels of carbon dioxide (C02) in the atmosphere. In the Journal of World-Systems Research (Summer 2003), sociologists examined the
A matrix giving the correlation (r) for each pair of independent variables is shown above. Identify the independent variables that are highly correlated. What problems may result from including these
Recall that the dependent variable (y) is measured as relative error of the effort estimate of a software development task. A total of eight independent variables were evaluated as potential
Electronic commerce (or "e-commerce") describes the use of electronic networks to simplify a business operation. With e-commerce, retailers now can advertise and sell their products easily over the
To meet the increasing demand for new software products, many systems development experts have adopted a prototyping methodology. The effects of prototyping on the system development life cycle
Can a corporation's annual profit be predicted from information about the company's CEO? Each year Forbes publishes data on company profit (in $ millions), CEO's annual income (in $ thousands), and
Numerous "sun safety"' products exist on the market to prevent excessive exposure to solar radiation. But many people do not practice "sun safety" or recognize the effectiveness of these products. A
A supermarket chain is interested in exploring the relationship between the sales of its store-brand canned vegetables (y), the amount spent on promotion of the vegetables in local newspapers (x1)
Industrial engineers at the University of Florida used regression modeling as a tool to reduce the time and cost associated with developing new metallic alloys (Modeling and Simulation in Materials
Fluorocarbon plasmas are used in the production of RADCAL semiconductor materials. In the Journal of Applied Physics (Dec. 1. 2000). electrical engineers at Nagoya University (Japan) studied the
Traffic forecasters at the Minnesota Department of Transportation MNOOT (MDOT) use regression analysis to estimate weekday peak-hour traffic volumes on existing and proposed roadways. In
Multiple regression was used to estimate the effect of coaching on SAT-Mathematics scores. Data on 3,492 students (573 of whom were coached) were used to fit the model, E(y) = β0 + β1x1 + β2x2,
Environmental Science & Technology (Jan. 2005) reported on a study of the reliability of a commercial kit to test for arsenic in groundwater. The field kit was used to test a sample of 328
An operations manager is interested in modeling E(y), the expected length of time per month (in hours) that a machine will be shut down for repairs, as a function of the type of machine (001 or 002)
To determine whether extra personnel are needed for the day, the owners of a water adventure park would like to find a model that would allow them to predict the day's attendance each morning before
The owners of the water adventure park are advised that the prediction model could probably be improved if interaction terms were added. In particular, it is thought that the rate at which mean
A Minneapolis. Minnesota, real estate appraiser used regression analysis to explore the relationship between the sale prices of apartment buildings and various characteristics of the buildings. The
A firm that has developed a new type of light bulb is interested in evaluating its performance in order to decide whether to market it. It is known that the light output of the bulb depends on the
A large research and development firm rates the performance of each member of its technical staff on a scale of 0 to 100, and this merit rating is used to determine the size of the person's pay raise
The data in the table on the next page were collected for a random sample of 26 households in Washington, DC An economist wants to relate household food consumption, y. to household income, x1, and
Recall that data collected for a sample of 1,437 funerals were used to fit the model, E(y) = β0 + β1x1 + β2x2 + β3x1x2, where y is the price (in dollars) of a direct burial, x1= {1 if funeral
A medium-sized automobile insurance company is interested in developing a regression model to help predict the monthly collision claims of its policyholders. A company analyst has proposed modeling
Many colleges and universities develop regression models for predicting the GPA of incoming fresh men. This predicted GPA can then be used to make admission decisions. Although most models use many
How much influence does the media, especially reality television programs, have on one's decision to undergo cosmetic surgery? This was the question of interest to psychologists who published an
The Bell Curve (Free Press, 1994), written by Richard Herrnstein and Charles Murray(H&M), is a controversial book about race, genes, IQ, and economic mobility. The book heavily employs statistics
The U.S. Army Corps of Engineers data on fish contaminated from the toxic discharges of a chemical plant located on the banks of the Tennessee River in Alabama. Recall that the engineers measured
Recall that the heat rate (kilo-joules per kilowatt per hour) was measured for each in a sample of 67 gas turbines augmented with high-pressure inlet fogging. In addition, several other variables
Minitab was used to fit the modelE(y) = Î²0 + Î²1x1 + Î²2x2 to n = 20 data points, and the printout shown on the next page was obtained.a. What are the sample estimates of Î²1, Î²2, and
In the oil industry, water that mixes with crude oil during production and transportation must be removed. Chemists have found that the oil can be extracted from the water/oil mix electrically.
An important goal in occupational safety is "active caring." Employees demonstrate active caring (AC) about the safety of their coworkers when they identify environmental hazards and unsafe work
Because the coefficient of determination R2 always increases when a new independent variable is added to the model, it is tempting to include many variables in a model to force R2 to be near 1.
The vineyards in the Bordeaux region of France are known for producing excellent red wines. However, the uncertainty of the weather during the growing season, the phenomenon that wine tastes better
Multiple regression is used by accountants in cost analysis to shed light on the factors that cause costs to be incurred and the magnitudes of their effects. Sometimes, it is desirable to use
Refer to the Creativity and Innovation Management (Feb. 2008) study of lead users of children's computer games, Exercise 12.12. Recall that the researchers modeled lead-user rating (y, measured on a
Refer to the Chance (Fall 2000) study of runs scored in Major League Baseball games, Exercise 12.14. Multiple regression was used to model total number of runs scored (y) of a team during the season
Recall that psychologists used multiple regression to model desire to have cosmetic surgery (y) as a function of gender (x1), self-esteem (x2), body satisfaction (x3), and impression of reality TV
Fit the first-order model, E(y) = Î²0 + Î²1x1 + Î²2x2 + Î²3x3.To the data, where y = DDT level (parts per million), x1 = number of miles upstream, x2 =
Recall that you fit a first-order model for heat rate (y) as a function of speed (x1), inlet temperature (x2), exhaust temperature (x3), cycle pressure ratio (x4), and airflow rate (x5). A Minitab
Suppose you fit the multiple regression modely = β0 + β1x1 + β2x2 + β3x3 + εto n = 30 data points and obtain the following result: = 3.4 - 4.6x1 + 2.7x2 + .93x3The estimated standard errors of
Refer to the Environmental Science & Technology (Jan. 2005) study of the reliability of a commercial kit to test for arsenic in groundwater, Exercise 12.16. You fit a first-order model for arsenic
Forbes magazine's "Executive Compensation Scoreboard." Forbes (April 13, 2011) determined which CEOs are worth their pay based on a comparison of the firm's stock performance and the CEO's annual
Refer to Exercise 12.20 and the study on separating water from oil. The researchers concluded that "in order to break a water-oil mixture with the lowest possible voltage, the volume fraction of the
In a production facility, an accurate estimate of man-hours needed to complete a task is crucial to management in making such decisions as the proper number of workers to hire, an accurate deadline
Write an interaction model relating the mean value of y, E(y) to a. Two quantitative independent variables b. Three quantitative independent variables
Suppose the true relationship between E(y) and the quantitative independent variables x1 and x2 is E(y) = 3 + x1 + 2x2 - x1x2 a. Describe the corresponding three-dimensional response surface. b. Plot
Suppose you fit the interaction modely = β0 + β1x1 + β2x2 + β3x1x2 + εto n = 32 data points and obtain the following results:SSyy = 479SSE = 213 = 10s3 = 4a. Find R2 and interpret its value.b.

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