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mathematics
statistics

Questions and Answers of Statistics

Refer to Exercise 16.2. Calculate the residuals and the predicted values of y.
Calculate the residuals and predicted values of y in Exercise 16.3.
Refer to Exercise 16.4.a. Calculate the residuals.b. Calculate the predicted values of y.c. Plot the residuals (on the vertical axis) and the predicted values of y.
Calculate and plot the residuals and predicted values of y for Exercise 16.5.
Refer to Exercise 16.6.a. Determine the residuals and the standardized residuals.b. Draw the histogram of the residuals. Does it appear that the errors are normally distributed? Explain.c. Identify
Refer to Exercise 16.7.a. Does it appear that the errors are normally distributed? Explain.b. Does it appear that heteroscedasticity is a problem? Explain.
Are the required conditions satisfied in Exercise 16.8?
Refer to Exercise 16.9.a. Determine the residuals and the standardized residuals.b. Draw the histogram of the residuals. Does it appear that the errors are normally distributed? Explain.c. Identify
Refer to Exercise 16.10. Are the required conditions satisfied?
Refer to Exercise 16.11.a. Determine the residuals and the standardized residuals.b. Draw the histogram of the residuals. Does it appear that the errors are normally distributed? Explain.c. Identify
Check the required conditions for Exercise 16.12.
Refer to Exercise 16.13. Are the required conditions satisfied?
Refer to Exercise 16.14.a. Determine the residuals and the standardized residuals.b. Draw the histogram of the residuals. Does it appear that the errors are normally distributed? Explain.c. Identify
Are the required conditions satisfied for Exercise 16.15?
Check to ensure that the required conditions for Exercise 16.16 are satisfied.
Are the required conditions satisfied for Exercise 16.17?
Perform a complete diagnostic analysis for Exercise 16.18 to determine whether the required conditions are satisfied.
The manager of Colonial Furniture has been reviewing weekly advertising expenditures. During the past 6 months, all advertisements for the store have appeared in the local newspaper. The number of
The president of a company that manufactures car seats has been concerned about the number and cost of machine breakdowns. The problem is that the machines are old and becoming quite unreliable.
An agronomist wanted to investigate the factors that determine crop yield. Accordingly, she undertook an experiment wherein a farm was divided into 30 one-acre plots. The amount of fertilizer applied
Every year, the United States Federal Trade Commission rates cigarette brands according to their levels of tar and nicotine, substances that are hazardous to smokers’ health. Additionally, the
Some critics of television complain that the amount of violence shown on television contributes to violence in our society. Others point out that television also contributes to the high level of
The analysis that the human resources manager performed in Exercise 16.18 indicated that the dexterity test is not a predictor of job performance. However, before discontinuing the test, he decided
Mutual funds minimize risks by diversifying the investments they make. There are mutual funds that specialize in particular types of investments. For example, the TD Precious Metal Mutual Fund buys
A very large contribution to profits for a movie theater is the sale of popcorn, soft drinks, and candy. A movie theater manager speculated that the longer the time between showings of a movie, the
A computer dating service typically asks for various pieces of information such as height, weight, income, and so on. One such service requested the length of index fingers. The only plausible reason
In addition to the data recorded for Exercises 12.31 and 13.217, we recorded the grade point average of the students who held down part-time jobs. Determine whether there is evidence of a linear
Exercise 13.19 described a survey that asked people between 18 and 34 years of age and 35 to 50 years of age how much time they spent listening to FM radio each day. Also recorded were the amounts
The museum was located in a large city block containing a variety of stores. in late July 1992, a fire that started in one of these stores burned the entire block, including the museum. Fortunately,
Ontario high school students must complete a minimum of six Ontario academic Credits (OACs) to gain admission to a university in the province. Most students take more than six OACs because
A developer who specializes in summer cottage properties is considering purchasing a large tract of land adjoining a lake. The current owner of the tract has already subdivided the land into separate
Pat Statsdud, a student ranking near the bottom of the statistics class, decided that a certain amount of studying could actually improve final grades. However, too much studying would not be
The president of a company that manufactures drywall wants to analyze the variables that affect demand for his product. Drywall is used to construct walls in houses and offices. Consequently, the
The general manager of the Cleveland Indians baseball team is in the process of determining which minor-league players to draft. He is aware that his team needs home-run hitters and would like to
When one company buys another company, it is not unusual that some workers are terminated. The severance benefits offered to the laid-off workers are often the subject of dispute. Suppose that the
The admissions officer of a university is trying to develop a formal system to decide which students to admit to the university. She believes that determinants of success include the standard
The marketing manager for a chain of hardware stores needed more information about the effectiveness of the three types of advertising that the chain used. These are localized direct mailing (in
For many cities around the world, garbage is an increasing problem. Many North American cities have virtually run out of space to dump the garbage. A consultant for a large American city decided to
The administrator of a school board in a large county was analyzing the average mathematics test scores in the schools under her control. She noticed that there were dramatic differences in scores
Life insurance companies are keenly interested in predicting how long their customers will live because their premiums and profitability depend on such numbers. An actuary for one insurance company
University students often complain that universities reward professors for research but not for teaching, and they argue that professors react to this situation by devoting more time and energy to
One critical factor that determines the success of a catalog store chain is the availability of products that consumers want to buy. If a store is sold out, future sales to that customer are less
Lotteries have become important sources of revenue for governments. Many people have criticized lotteries, however, referring to them as a tax on the poor and uneducated. In an examination of the
100The MBA program at a large university is facing a pleasant problem—too many applicants. The current admissions policy requires students to have completed at least 3 years of work experience and
La Quinta Motor Inns is a moderately priced chain of motor inns located across the United States. Its market is the frequent business traveler. The chain recently launched a campaign to increase
How does the amount of education of one’s parents (PAEDUC, MAEDUC) affect your education (EDUC)?a. Develop a regression modelb. Test the validity of the modelc. Test the two slope coefficientsd.
What determines people’s opinion on the following question? Should the government reduce income differences between rich and poor (EQWLTH: 1 = Government should reduce differences; 2, 3, 4, 5, 6, 7
The Nielsen Ratings estimate the numbers of televisions tuned to various channels. However, television executives need more information. The General Social Survey may be the source of this
What determines people’s opinion on the following question, Should the government improve the standard of living of poor people (HELPPOOR: 1 = Government act; 2, 3, 4, 5 = People should help
Use the General Social Survey of 2008 to conduct a regression analysis of income (INCOME) using the following dependent variables:Age (AGE)Years of education (EDUC)Hours of work per week
With voter turnout during presidential elections around 50% a vital task for politicians is to try to predict who will actually vote. Develop a regression model to predict intention to vote
Does watching news on television or reading newspapers provide indicators of who will vote? Conduct a regression analysis with intention to vote (DEFINITE) as the dependent variable and the following
Compute the residuals and the predicted values for the regression analysis in Exercise.a. Is the normality requirement violated? Explain.b. Is the variance of the error variable constant? Explain.
Calculate the coefficients of correlation for each pair of independent variables in Exercise. What do these statistics tell you about the independent variables and the t-tests of the coefficients?
Refer to Exercise.a. Determine the residuals and predicted values.b. Does it appear that the normality requirement is violated? Explain.c. Is the variance of the error variable constant? Explain.d.
Compute the residuals and predicted values for the regression analysis in Exercise.a. Does it appear that the error variable is not normally distributed?b. Is the variance of the error variable
Refer to Exercise. Find the coefficients of correlation of the independent variables.a. What do these correlations tell you about the independent variables?b. What do they say about the t-tests of
Calculate the residuals and predicted values for the regression analysis in Exercise.a. Does the error variable appear to be normally distributed?b. Is the variance of the error variable constant?c.
Are the required conditions satisfied in Exercise 17.6?
Refer to Exercise.a. Conduct an analysis of the residuals to determine whether any of the required conditions are violated.b. Does it appear that multicollinearity is a problem?c. Identify any
Are the required conditions satisfied for the regression analysis in Exercise 17.8?
Determine whether the required conditions are satisfied in Exercise 17.9
Refer to Exercise. Calculate the residuals and predicted values.a. Is the normality requirement satisfied?b. Is the variance of the error variable constant?c. Is multicollinearity a problem?
Determine whether there are violations of the required conditions in the regression model used in Exercise 17.11.
Determine whether the required conditions are satisfied in Exercise 17.12.
Refer to Exercise.a. Are the required conditions satisfied?b. Is multicollinearity a problem? If so, explain the consequences.
Refer to Exercise 17.14. Are the required conditions satisfied?
Refer to Exercise 17.15. Check the required conditions.
Refer to Exercise. Calculate the correlation between the father’s and the mother’s years of education. Is there any sign of multicollinearity? Explain.
Refer to Exercise.a. Calculate the correlation between the independent variables. Does it indicate the presence of multicollinearity? Explain.b. Test the correlation between each independent variable
Refer to Exercise.a. Calculate the correlation between the independent variables. Does it indicate the presence of multicollinearity? Explain.b. Test the correlation between each independent variable
Refer to Exercise.a. Calculate the correlation matrix.b. Are there signs of the presence of multicollinearity? Explain.c. Test the correlation between each independent variable and the dependent
Observations of variables y, x1, and x2 were taken over 100 consecutive time periods.a. Conduct a regression analysis of these data.b. Plot the residuals versus the time periods. Describe the
Weekly sales of a company’s product (y) and those of its main competitor (x) were recorded for one year.a. Conduct a regression analysis of these data.b. Plot the residuals versus the time periods.
Refer to Exercise. Is there evidence of positive first-order autocorrelation?
Refer to Exercise. Determine whether there is evidence of first-order autocorrelation.
The manager of a tire store in Minneapolis has been concerned with the high cost of inventory. The current policy is to stock all the snow tires that are predicted to sell over the entire winter at
The agronomist referred to in Exercise believed that the amount of rainfall as well as the amount of fertilizer used would affect the crop yield. She redid the experiment in the following way. Thirty
Exercise addressed the problem of determining the relationship between the price of apartment buildings and number of square feet. Hoping to improve the predictive capability of the model, the real
In Exercise, a statistics practitioner examined the relationship between office rents and the city’s office vacancy rate. The model appears to be quite poor. It was decided to add another variable
There are thousands of mutual funds available. There is no shortage of sources of information about them. Newspapers regularly report the value of each unit, mutual fund companies and brokers
In addition to analyzing the relationship between the managers’ characteristic and the performance of the fund, researchers wanted to determine whether the same characteristics are related to the
In the last decade, society in general and the judicial system in particular have altered their opinions on the seriousness of drunken driving. In most jurisdictions, driving an automobile with a
An article in the journal Appetite (December 2003) described an experiment to determine the effect that breakfast meals have on school children. A sample of 29 children was tested on four successive
Do cell phones cause cancer? This is a multibillion-dollar question. Currently, dozens of lawsuits are pending that claim cell phone use has caused cancer. To help shed light on the issue, several
A new anti-flu vaccine designed to reduce the duration of symptoms has been developed. However, the effect of the drug varies from person to person. To examine the effect of age on the effectiveness
Several years ago we heard about the “Mommy Track,” the phenomenon of women being underpaid in the corporate world because of what is seen as their divided loyalties between home and office.
There are enormous differences between health-care systems in the United States and Canada. In a study to examine one dimension of these differences, 300 heart attack victims in each country were
Betting on the results of National Football League games is a popular North American activity. In some states and provinces, it is legal to do so provided that wagers are made through a
As all baseball fans know, first base is the only base that the base runner may overrun. At both second and third base, the runner may be tagged out if he runs past the base. Consequently, on close
How does mental outlook affect a person’s health? The answer to this question may allow physicians to care more effectively for their patients. In an experiment to examine the relationship between
Physicians have been recommending more exercise for their patients, particularly those who are overweight. One benefit of regular exercise appears to be a reduction in cholesterol, a substance
An economist working for a state university wanted to acquire information about salaries in publicly funded and private colleges and universities. She conducted a survey of 623 public- university
Millions of people suffer from migraine headaches. The costs in work days lost, medication, and treatment are measured in the billions of dollars. A study reported in the Journal of the American
The battle between customers and car dealerships is often intense. Customers want the lowest price, and dealers want to extract as much money as possible. One source of conflict is the trade-in car.
In the presidential elections of 2000 and 2004, the vote in the state of Florida was crucial. It is important for the political parties to track party affiliation. Surveys in Broward and Miami-Dade
Auto manufacturers are required to test their vehicles for a variety of pollutants in the exhaust. The amount of pollutant varies even among identical vehicles so that several vehicles must be
In 2003, there were 129,142,000 workers in the United States The general manager for a public transportation company wanted to learn more about how workers commute to work and how long it takes them.
Nutrition education programs, which teach clients how to lose weight or reduce cholesterol levels through better eating patterns, have been growing in popularity. The nurse in charge of one such
Garlic has long been considered a remedy to ward off the common cold. A British researcher organized an experiment to see if this generally held belief is true. A random sample of 146 volunteers was

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