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Questions and Answers of Statistics

What follows is Excel output from a regression model to predict y using x1, x2, x21, x22, and the interaction term, x1 x2. Comment on the overall strength of the model and the significance of each
Analyze the following data by using a multiple regression computer software package to predict y using x1 and x2. Notice that x2 is a dummy variable. Discuss the output from the regression analysis;
Given here are the data from a dependent variable and two independent variables. The second independent variable is an indicator variable with several categories. Hence, this variable is represented
The Minitab output displayed here is the result of a multiple regression analysis with three independent variables. Variable x1 is a dummy variable.Discuss the computer output and the role x1 plays
Given here is Excel output for a multiple regression model that was developed to predict y from two independent variables, x1 and x2. Variable x2 is a dummy variable. Discuss the strength of the
Falvey, Fried, and Richards developed a multiple regression model to predict the average price of a meal at New Orleans restaurants. The variables explored included such indicator variables as the
A researcher gathered 155 observations on four variables: job satisfaction, occupation, industry, and marital status. She wants to develop a multiple regression model to predict job satisfaction by
Use a stepwise regression procedure and the following data to develop a multiple regression model to predict y. Discuss the variables that enter at each step, commenting on their t values and on the
Given here are data for a dependent variable and four potential predictors. Use these data and a stepwise regression procedure to develop a multiple regression model to predict y. Examine the values
The computer output given here is the result of a stepwise multiple regression analysis to predict a dependent variable by using six predictor variables. The number of observations was 108. Study the
Study the output given here from a stepwise multiple regression analysis to predict y from four variables.Comment on the output at eachstep.
The National Underwriter Company in Cincinnati, Ohio, publishes property and casualty insurance data. Given here is a portion of the data published. These data include information from the U.S.
The U.S. Energy Information Administration releases figures in their publication, Monthly Energy Review, about the cost of various fuels and electricity. Shown here are the figures for four different
Develop a correlation matrix for the independent variables in Problem 14.13. Study the matrix and make a judgment as to whether substantial multicollinearity is present among the predictors. Why or
Construct a correlation matrix for the four independent variables for Problem 14.14 and search for possible multicollinearity. What did you find and why?
In Problem 14.17, you were asked to use stepwise regression to predict premiums earned by net income, dividends, and underwriting gain or loss. Study the stepwise results, including the regression
Study the three predictor variables in Problem 14.18 and attempt to determine whether substantial multicollinearity is present between the predictor variables. If there is a problem of
Given here are the data for a dependent variable, y, and independent variables. Use these data to develop a regression model to predict y. Discuss the output. Which variable is an indicator
Use the following data and a stepwise regression analysis to predict y. In addition to the two independent variables given here, include three other predictors in your analysis: the square of each x
Use the x1 values and the log of the x1 values given here to predict the y values by using a stepwise regression procedure. Discuss the output.Were either or both of the predictorssignificant?
The U.S. Commodities Futures Trading Commission reports on the volume of trading in the U.S. commodity futures exchanges. Shown here are the figures for grain, oilseeds, and livestock products over a
The U.S. Bureau of Mines produces data on the price of minerals. Shown here are the average prices per year for several minerals over a decade. Use these data and a stepwise regression procedure to
The Shipbuilders Council of America in Washington, D.C., publishes data about private shipyards. Among the variables reported by this organization are the employment figures (per 1000), the number of
The U.S. Bureau of Labor Statistics produces consumer price indexes for several different categories. Shown here are the percentage changes in consumer price indexes over a period of 20 years for
The U.S. Department of Agriculture publishes data annually on various selected farm products. Shown here are the unit production figures for three farm products for 10 years during a 20-year period.
The American Chamber of Commerce Researchers Association compiles cost-of-living indexes for selected metropolitan areas. Shown here are cost-of-living indexes for 25 different cities on five
A stepwise regression procedure was used to analyze a set of 20 observations taken on four predictor variables to predict a dependent variable. The results of this procedure are given next.Discuss
Shown here are the data for y and three predictors, x1, x2, and x3. A stepwise regression procedure has been done on these data; the results are also given.Comment on the outcome of the stepwise
Shown below is output from two Excel regression analyses on the same problem. The first output was done on a "full" model. In the second output, the variable with the smallest absolute t value has
The DeBourgh Manufacturing Company was founded in 1909 as a metal-fabricating company in Minnesota by the four Berg brothers. In the 1980s, the company ran into hard times, as did the rest of the
Use the forecast errors given here to compute MAD and MSE. Discuss the information yielded by each type of error measurement.Period e1 ..........2.32 ..........1.63 ..........-1.44 ..........1.15
Determine the error for each of the following forecasts. Compute MAD andMSE.
Using the following data, determine the values of MAD and MSE.Which of these measurements of error seems to yield the best information about the forecasts?Why?
Figures for acres of tomatoes harvested in the United States from an 11-year period follow. The data are published by the U.S. Department of Agriculture.With these data, forecasts have been made by
Use the following time-series data to answer the given questions.a. Develop forecasts for periods 5 through 10 using 4-month moving averages.b. Develop forecasts for periods 5 through 10 using
Following are time-series data for eight different periods. Use exponential smoothing to forecast the values for periods 3 through 8. Use the value for the first period as the forecast for the second
Following are time-series data for nine time periods. Use exponential smoothing with constants of .3 and .7 to forecast time periods 3 through 9. Let the value for time period 1 be the forecast for
The U.S. Census Bureau publishes data on factory orders for all manufacturing, durable goods, and nondurable goods industries. Shown here are factory orders in the United States over a 13-year period
The following data show the number of issues from initial public offerings (IPOs) for a 13-year period released by the Securities Data Company. Use these data to develop forecasts for the years 3
The "Economic Report to the President of the United States" included data on the amounts of manufacturers' new and unfilled orders in millions of dollars. Shown here are the figures for new orders
The following data on the number of union members in the United States for the years 1984 through 2008 are provided by the U.S. Bureau of Labor Statistics. Using regression techniques discussed in
Shown below are dollar figures for commercial and industrial loans at all commercial banks in the United States as recorded for the month of April during a recent 9-year period and published by the
The U.S. Department of Agriculture publishes statistics on the production of various types of food commodities by month. Shown here are the production figures on broccoli for January of a recent year
The U.S. Department of Commerce publishes census information on manufacturing. Included in these figures are monthly shipment data for the paperboard container and box industry shown on the next page
The U.S. Department of Labor publishes consumer price indexes (CPIs) on many commodities. Following are the percentage changes in the CPIs for food and for shelter for the years 1980 through 2008.
Use the data from Problem 15.15 to create a regression forecasting model using the first-differences data transformation. How do the results from this model differ from those obtained in Problem
The Federal Deposit Insurance Corporation (FDIC) releases data on bank failures. Following are data on the number of U.S. bank failures in a given year and the total amount of bank deposits (in $
Use the data in Problem 15.17 to compute a regression model after recoding the data by the first-differences approach. Compute a Durbin-Watson statistic to determine whether significant
Current Construction Reports from the U.S. Census Bureau contain data on new privately owned housing units. Data on new privately owned housing units (1000s) built in the West between 1980 and 2006
The U.S. Department of Agriculture publishes data on the production, utilization, and value of fruits in the United States. Shown here are the amounts of noncitrus fruit processed into juice (in
Suppose the following data represent the price of 20 reams of office paper over a 50-year time frame. Find the simple index numbers for the data.a. Let 1950 be the base year.b. Let 1980 be the
The U.S. Patent and Trademark Office reports fiscal year figures for patents issued in the United States. Following are the numbers of patents issued for the years 1980 through 2007. Using these data
Using the data that follow, compute the aggregate index numbers for the four types of meat. Let 1995 be the base year for this market basket ofgoods.
Suppose the following data are prices of market goods involved in household transportation for the years 2001 through 2009. Using 2003 as a base year, compute aggregate transportation price indexes
Calculate Laspeyres price indexes for 2007-2009 from the following data. Use 2000 as the baseyear.
Calculate Paasche price indexes for 2008 and 2009 using the following data and 2000 as the baseyear.
Following are the average yields of long-term new corporate bonds over a several-month period published by the Office of Market Finance of the U.S. Department of the Treasury.a. Explore trends in
Compute index numbers for the following data using 1995 as the base year.
Compute unweighted aggregate price index numbers for each of the given years using 2005 as the baseyear.
Using the following data and 2006 as the base year, compute the Laspeyres price index for 2009 and the Paasche price index for2008.
The following data contain the quantity (million pounds) of U.S. domestic fish caught annually over a 25-year period as published by the National Oceanic and Atmospheric Administration.a. Use a
The U.S. Department of Commerce publishes a series of census documents referred to as Current Industrial Reports. Included in these documents are the manufacturers' shipments, inventories, and orders
Use the seasonal indexes computed to deseasonalize the data in Problem 15.32.in Problem 15.32.Chemicalsand AlliedProductsTime Period ($ billion)January (year 5) ........28.931February
Determine the trend for the data in Problem 15.32 using the deseasonalized data from Problem 15.33. Explore both a linear and a quadratic model in an attempt to develop the better trend model.in
Shown here are retail price figures and quantity estimates for five different food commodities over 3 years. Use these data and a base year of 2007 to compute unweighted aggregate price indexes for
Given below are data on the number of business establishments (millions) and the self-employment rate (%) released by the Small Business Administration, Office of Advocacy, for a 21-year period of
Shown here are the consumer price indexes (CPIs) for housing for the years 1988 through 2005 from the Bureau of Labor Statistics Data Web site. Use the data to answer the following questions.a.
In the Survey of Current Business, the U.S. Department of Commerce publishes data on farm commodity prices.Time Period Cotton PricesNovember (year 1) .......... 552December
The U.S. Department of Commerce publishes data on industrial machinery and equipment. Shown here are the shipments (in $ billions) of industrial machinery and equipment from the first quarter of year
Use the seasonal indexes computed to deseasonalize the data in Problem 15.39.in Problem15.39
Use both a linear and quadratic model to explore trends in the deseasonalized data from Problem 15.40.Which model seems to produce a better fit of thedata?
The Board of Governors of the Federal Reserve System publishes data on mortgage debt outstanding by type of property and holder. The following data give the amounts of residential nonfarm debt (in $
The data shown here, from the Investment Company Institute, show that the equity fund assets of mutual funds have been growing since 1981. At the same time, money market funds have been increasing
The purchasing-power value figures for the minimum wage in year 18 dollars for the years 1 through 18 are shown here. Use these data and exponential smoothing to develop forecasts for the years 2
Shown on the following page is the Excel output for a regression analysis to predict the number of business bankruptcy filings over a 16-year period by the number of consumer bankruptcy filings. How
Foot Locker, Inc., is the world's number one retailer of athletic footwear and apparel. The company has approximately 3,800 retail stores in 21 countries across North America, Europe, and Australia
Use a chi-square goodness-of-fit test to determine whether the observed frequencies are distributed the same as the expected frequencies (Î± =.05).
Use the following data and α = .01 to determine whether the observed frequencies represent a uniform distribution.Category fo1 ........ 192 ........
Are the following data Poisson distributed? Use a = .05 and the chi-square goodness-of-fit test to answer this question.What is your estimated lambda?Number of Arrivals fo0 .........281 .........172
Use the chi-square goodness-of-fit to test to determine if the following observed data are normally distributed. Let = .05.What are your estimated mean and standard deviation?Category
In one survey, successful female entrepreneurs were asked to state their personal definition of success in terms of several categories from which they could select. Thirty-nine percent responded that
The following percentages come from a national survey of the ages of prerecorded-music shoppers. A local survey produced the observed values.Does the evidence in the observed data indicate that we
The general manager of a Major League Baseball team believes the ages of purchasers of game tickets are normally distributed. The following data represent the distribution of ages for a sample of
The Springfield Emergency Medical Service keeps records of emergency telephone calls. A study of 150 five-minute time intervals resulted in the distribution of number of calls as follows. For
According to an extensive survey conducted for Business Marketing by Leo J. Shapiro & Associates, 66% of all computer companies are going to spend more on marketing this year than in previous
Cross-cultural training is rapidly becoming a popular way to prepare executives for foreign management positions within their company. This training includes such aspects as foreign language,
Use the following contingency table to test whether variable 1 is independent of variable 2.Let a =.01.
Use the following contingency table to determine whether variable 1 is independent of variable 2.Let a =.01.
Use the following contingency table and the chi-square test of independence to determine whether social class is independent of number of children in a family.Let a =.05.
A group of 30-year-olds is interviewed to determine whether the type of music most listened to by people in their age category is independent of the geographic location of their residence.Use the
Is the transportation mode used to ship goods independent of type of industry? Suppose the following contingency table represents frequency counts of types of transportation used by the publishing
According to data released by the U.S. Department of Housing and Urban Development about new homes built in the United States, there is an almost 50-50 split between one-story and two-story homes. In
A study was conducted to determine the impact of a major Mexican peso devaluation on U.S. border retailers. As a part of the study, data were gathered on the magnitude of business that U.S. border
Use a chi-square goodness-of-fit test to determine whether the following observed frequencies are distributed the same as the expected frequencies.Let a =.01.
Use the chi-square contingency analysis to test to determine whether variable 1 is independent of variable 2.Use 5% level ofsignificance.
Is a manufacturer's geographic location independent of type of customer? Use the following data for companies with primarily industrial customers and companies with primarily retail customers to test
A national youth organization sells six different kinds of cookies during its annual cookie campaign. A local leader is curious about whether national sales of the six kinds of cookies are uniformly
A researcher interviewed 2067 people and asked whether they were the primary decision makers in the household when buying a new car last year. Two hundred seven were men and had bought a new car last
Are random arrivals at a shoe store at the local mall Poisson distributed? Suppose a mall employee researches this question by gathering data for arrivals during one minute intervals on a weekday
According to Beverage Digest/Maxwell Report, the distribution of market share for the top seven soft drinks in the United States was: Coca-Cola 17.9%, Pepsi-Cola 11.5%, Diet Coke 9.7%, Mountain Dew

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