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statistics

Questions and Answers of Statistics

Suppose that in addition to using ERA to predict the number of wins, the analytics specialist wants to include the league (0 = American, 1 = National) as an independent variable. Develop a model to
You are a real estate broker who wants to compare property values in Glen Cove and Roslyn (which are located approximately 8 miles apart). In order to do so, you will analyze the data in GCRRoslyn, a
A recent article discussed a metal deposition process in which a piece of metal is placed in an acid bath and an alloy is layered on top of it. The business objective of engineers working on the
Starbucks Coffee Co. uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that Starbucks needed to improve its package sealing
The following ANOVA summary table is for a multiple regression model with two independent variables:a. Determine the regression mean square (MSR) and the mean square error (MSE).b. Compute the
The following is the quadratic regression equation for a sample of n = 25:a. Predict Y for X1 = 2. b. Suppose that the computed tSTAT test statistic for the quadratic regression coefficient is 2.35.
Using the data of Problem I 5.4 on page 581, stored in DomesticBeer perform a square-root transformation on each of the independent variables (percentage alcohol and number of carbohydrates). Using
Using the data of Problem 15.4 on page 581, stored in DomesticBerr, perform a natural logarithmic transformation of the dependent variable (calories). Using the transformed dependent variable and the
Using the data of Problem 15.6 on page 581, stored in Cost Estimation, perform a natural logarithm transformation of the dependent variable (total cost). Using the transformed dependent variable and
Using the data of Problem 15.6 on page 581, stored in Cost Estimation, perform a square-root transformation of the independent variable (unit production). Using total cost as the dependent variable
Perform a multiple regression analysis using the data in Ware Cost and determine the VIF for each independent variable in the model. Is there reason to suspect the existence of collinearity? For
Perform a multiple regression analysis using the data in Auto2012 and determine the VIF for each independent variable in the model. Is there reason to suspect the existence of collinearity? For
Perform a multiple regression analysis using the data in Advertise and determine the VIF for each independent variable in the model. Is there reason to suspect the existence of collinearity? For
Perform a multiple regression analysis using the data in Standby and determine the VIF for each independent variable in the model. Is there reason to suspect the existence of collinearity? For
Businesses actively recruit business students with well-developed higher-order cognitive skills (HOCS) such as problem identification, analytical reasoning, and content integration skills.
Perform a multiple regression analysis using the data in GlenCove and determine the VIF for each independent variable in the model. Is there reason to suspect the existence of collinearity? For
You are considering four independent variables for inclusion in a regression model. You select a sample of n = 30, with the following results: 1. The model that includes independent variables A and B
You are considering six independent variables for inclusion in a regression model. You select a sample of n = 40, with the following results: k = 2 T = 6 + 1 = 7 R2k = 0.214 R2T = 0.653 a. Compute
You constructed simple linear regression models to investigate the relationship between demographic information and monthly sales for a chain of sporting goods stores using the data in Sporting
You need to develop a model to predict the selling price of houses in a small city, based on assessed value, time in months since the house was reassessed, and whether the house is new (0 = no, 1 =
Accounting Today identified top public accounting firms in ten geographic regions across the U.S. The file AccountingPartners6 contains data for public accounting firms in the Southeast, Gulf Coast,
A specialist in baseball analytics has expanded his analysis, presented in Problem 14.73 on page 565, of which variables are important in predicting a team's wins in a given baseball season. He has
A national chain of consumer electronics stores had the business objective of determining the effectiveness of newspaper advertising. To promote sales, the chain relies heavily on local newspaper
In the production of printed circuit boards, errors in the alignment of electrical connections are a source of scrap. The file Registration Error contains the registration error, the temperature, the
Hemlock Farms is a community located in the Pocono Mountains area of eastern Pennsylvania. The file Hemlock Farms contains information on homes that were recently for sale. The variables included
Nassau County is located approximately 25 miles east of New York City. The file GlenCove contains a sample of 30 single-family homes located in Glen Cove. Variables included are the appraised value,
Data similar to Problem 15.32 are available for homes located in Freeport (located approximately 20 miles from Roslyn) and are stored in Freeport.a. Perform an analysis similar to that of Problem
You are a real estate broker who wants to compare property values in Glen Cove and Roslyn (which are located approximately 8 miles apart). Use the data in GCRoslyn. Make sure to include the dummy
You are a real estate broker who wants to compare property values in Glen Cove, Freeport, and Roslyn. Use the data in GCFreeRoslyn. a. Develop the most appropriate multiple regression model to
Financial analysts engage in business valuation to determine a company's value. A standard approach uses the multiple of earnings method: You multiply a company's profits by a certain value (average
A recent article (J. Conklin, "It's a Marathon, Not a Sprint," Quality Progress, June 2009, pp. 46-49) discussed a metal deposition process in which a piece of metal is placed in an acid bath and an
A molding machine that contains different cavities is used in producing plastic parts. The product characteristics of interest are the product length (in.) and weight (g). The mold cavities were
Is the number of calories in a beer related to the number of carbohydrates and/or the percentage of alcohol in the beer? Data concerning 150 of the best-selling domestic beers in the United States
In the production of printed circuit boards, errors in the alignment of electrical connections are a source of scrap. The data in the file Registration Error-High Cost contains the registration error
A production manager wishes to examine the relationship between unit production (number of units produced) and associated costs (total cost). The file Cost Estimation contains data for 10 months of
An auditor for a county government would like to develop a model to predict county taxes, based on the age of single-family houses. She selects a random sample of 19 single-family houses, and the
Consider the following regression equation:a. Predict the value of Y when X1 = 8.5 and X2 = 5.2. b. Interpret the meaning of the regression coefficients b0, b1, and b2.
Consider the following regression equation:a. Predict the value of Y when X1 = 8.5 and X2 = 5.2. b. Interpret the meaning of the regression coefficients b0, b, and b2.
The linear trend forecasting equation for an annual time series containing 22 values (from 1991 to 2012) on total revenues (in $millions) isa. Interpret the Y intercept, b0.b. Interpret the slope,
The linear trend forecasting equation for an annual time series containing 42 values (from 1971 to 2012) on net sales (in $billions) isa. Interpret the Y intercept, b0.b. Interpret the slope, b.c.
Bed Bath & Beyond is a nationwide chain of retail stores that sell a wide assortment of merchandise, including domestics merchandise and home furnishings, as well as food, giftware, and health
Gross domestic product (GDP) is a major indicator of a nation's overall economic activity. It consists of personal consumption expenditures, gross domestic investment, net exports of goods and
The data in Fed Receipt represent federal receipts from 1978 through 2011, in billions of current dollars, from individual and corporate income tax, social insurance, excise tax, estate and gift tax,
The file Computer Sales contains the U.S. total computer and software sales (in $millions) from 1992 through 2011.a. Plot the data.b. Compute a linear trend forecasting equation and plot the trend
The data shown in the following table and stored in Solar Power represent the yearly amount of solar power generated by utilities (in millions of kWh) in the United States from 2002 through 2011:a.
The file (Car Production) contains the number of passenger cars produced in the U.S. from 1999 to 2011. (Data extracted from www.statista.com.)a. Plot the data.b. Compute a linear trend forecasting
The average salary of Major League Baseball players on opening day from 2000 to 2012 is stored in BBSalaries and shown in the right column.a. Plot the data.b. Compute a linear trend forecasting
The file Silver contains the following prices in London for an ounce of silver (in US$) on the last day of the year from 1999 to 2011:a. Plot the data.b. Compute a linear trend forecasting equation
Consider a nine-year moving average used to smooth a time series that was first recorded in 1984. a. Which year serves as the first centered value in the smoothed series? b. How many years of values
The data in CPI-U reflect the annual values of the consumer price index (CPI) in the United States over the 47-year period 1965 through 2011, using 1982 through 1984 as the base period. This index
Although you should not expect a perfectly fitting model for any time-series data, you can consider the first differences, second differences, and percentage differences for a given series as guides
A time-series plot often helps you determine the appropriate model to use. For this problem, use each of the time series presented in the following table and stored in TsModel2:a. Plot the observed
You are given an annual time series with 40 consecutive values and asked to fit a fifth-order autoregressive model. a. How many comparisons are lost in developing the autoregressive model? b. How
A third-order autoregressive model is fitted to an annual time series with 17 values and has the following estimated parameters and standard errors:At the 0.05 level of significance, test the
The three most recent values areYl5 = 23 Yl6 = 28 Y17 = 34Forecast the values for the next year and the following year.For Information: Refer to Problem 16.24.
Suppose, when testing for the appropriateness of the fitted model, the standard errors areSa1 = 0.45 Sa2 = 0.35 Sa3 = 0.15a. What conclusions can you reach?b. Discuss how to proceed if forecasting is
Using the data for Problem 16.15 on page 625 that represent U.S. total computer and software sales (in $mil-lions) from 1992 through 2011 (stored in Computer Sales),a. Fit a third-order
Using the data for Problem 16.12 on page 625 concerning the number of stores open for Bed Bath & Beyond from 1997 through 2012 (stored in Bed & Bath).a. Fit a third-order autoregressive model
Using the data for Problem 16.17 on page 626 concerning the number of passenger cars produced in the United States from 1999 to 2011 (stored in Car Production).a. Fit a third-order autoregressive
You are using exponential smoothing on an annual time series concerning total revenues (in $millions). You decide to use a smoothing coefficient of W = 0.20, and the exponentially smoothed value for
Using the average baseball salary from 2000 through 2012 data for Problem 16.18 on page 626 (stored in BBSalaries).a. Fit a third-order autoregressive model to the average baseball salary and test
Using the yearly amount of solar power generated by utilities (in millions of kWh) in the United States from 2002 through 2011 data for Problem 16.16 on page 626 (stored in Solar Power),a. Fit a
The following residuals are from a linear trend model used to forecast sales: 2.0 -0.5 1.5 1.0 0.0 1.0 -3.0 1.5 -4.5 2.0 0.0 -1.0 a. Compute SYX and interpret your findings. b. Compute the MAD and
Suppose the first residual is 12.0 (instead of 2.0) and the last residual is - 11.0 (instead of-1.0). a. Compute SYX and interpret your findings b. Compute the MAD and interpret your findings. For
Using the yearly amount of solar power generated by utilities (in millions of kWh) in the United States from 2002 through 2011 data for Problem 16.16 on page 626 and Problem 16.31 on page 634 (stored
Using the U.S. total computer and software sales data for Problem 16.15 on page 625 and Problem 16.27 on page 634 (stored in Computer Sales). a. Perform a residual analysis for each model. b. Compute
Using the number of stores open for Bed Bath & Beyond from 1997 through 2012 data for Problem 16.12 on page 625 and Problem 16.28 on page 634 (stored in Bed & Bath). a. Perform a residual analysis
Using the number of passenger cars produced in the U.S. from 1999 to 2011 data for Problem 16.17 on page 626 and Problem 16.29 on page 634 (stored in Car Production). a. Perform a residual analysis
Using the average baseball salary from 2000 through 2012 data for Problem 16.18 on page 626 and Problem 16.30 on page 634 (stored in BBSalaries). a. Perform a residual analysis for each model. b.
a. Perform a residual analysis.b. Compute the standard error of the estimate (SYX).c. Compute the MAD.d. On the basis of (a) through (c), are you satisfied with your linear trend forecasts in Problem
The data on page 616 (stored in ThruSpeed) represent the average time (in seconds) it took to be served at the drive-through at McDonald's from 1998 to 2009:a. Plot the time series.b. Fit a
In forecasting a monthly time series over a five-year period from January 2008 to December 2012, the exponential trend forecasting equation for January isTake the antilog of the appropriate
In forecasting daily time-series data, how many dummy variables are needed to account for the seasonal component day of the week? Discuss.
In forecasting a quarterly time series over the five-year period from the first quarter of 2008 through the fourth quarter of 2012, the exponential trend forecasting equation is given bywhere quarter
a. What is the fitted value of the series in the fourth quarter of 2010?b. What is the fitted value of the series in the first quarter of 2010?c. What is the forecast in the fourth quarter of 2012?d.
The data in Toys R Us are quarterly revenues (in $millions) for Toys R Us from 1996-Q1 through 2012-Q2. (Data extracted from Standard & Poor's Stock Reports, November 1995, November 1998, and
Are gasoline prices higher during the height of the summer vacation season than at other times? The file Gas Prices contains the mean monthly prices (in S/gallon) for unleaded gasoline in the United
The data in Travel show the average traffic on Google recorded at the beginning of each month from January 2004 to August 2012 for searches from the United States concerning travel (scaled to the
The file Call Center contains the monthly call volume for an existing product. (Data extracted from S. Madadevan and J. Overstreet, "Use of Warranty and Reliability Data to Inform Call Center
The file Silver-Q contains the price in London for an ounce of silver (in US$) at the end of each quarter from 2004 through 2011. (Data extracted from bit.ly/lafifi.)a. Plot the data.b. Develop an
The file Gold contains the price in London for an ounce of gold (in US$) at the end of each quarter from 2004 through 2011. (Data extracted from bit.ly/lafifi.)a. Plot the data.b. Develop an
The following data, stored in Spills provide the number of oil spills in the Gulf of Mexico from 1996 to 2011:a. Plot the time series.b. Fit a three-year moving average to the data and plot the
What are the different components of a time-series model? Discuss.
The data in the following table, stored in Polio, represent the annual incidence rates (per 100,000 persons) of reported acute poliomyelitis recorded over five-year periods from 1915 to 1955:a. Plot
How have stocks performed in the past? The following table presents the data stored in Stock Performance. Which show the performance of a broad measure of stock performance (by percentage) for each
The U.S. Department of Labor gathers and publishes statistics concerning the labor market. The file Workforce contains data on the size of the U.S. civilian non institutional population of people 16
The monthly wellhead and residential prices for natural gas (dollars per thousand cubic feet) in the United States from January 2008 through June 2012 are stored in Natural Gas2. (Data extracted from
The data in the following table, stored in McDonalds represent the gross revenues (in billions of current dollars) of McDonald's Corporation from 1975 through 2011:a. Plot the data.b. Compute the
Teachers' Retirement System of the City of New York offers several types of investments for its members. Among the choices are investments with fixed and variable rates of return. There are several
As a consultant to an investment company trading in various currencies, you have been assigned the task of studying long-term trends in the exchange rates of the Canadian dollar, the Japanese yen,
The following data (stored in Coffee Price Portugal represent the retail price of coffee (in‚¬/kg) in Portugal from 2004 to 2011:a. Plot the time series.b. Fit a three-year moving average to the
The file Auditors contains the number of audits of corporations with assets of more than $250 million conducted by the Internal Revenue Service. (Data extracted from K. McCoy, 'TRS Audits Big Firms
If you are using the method of least squares for fitting trends in an annual time series containing 25 consecutive yearly values, a. what coded value do you assign to X for the first year in the
A population starts at size 1000 and grows with per capita production rt that alternates between 0.6 and 1.5. In each of the above populations, per capita production changes over time according to a
Population 2 starting from 50 individuals.The following table gives the per capita production for four populations over a period of 10 years. Find the population over the 10 years starting from the
Population 3 starting from 500 individuals.The following table gives the per capita production for four populations over a period of 10 years. Find the population over the 10 years starting from the
Population 4 starting from 200 individuals.The following table gives the per capita production for four populations over a period of 10 years. Find the population over the 10 years starting from the
Population 1 starting from 10 individuals.The following table gives the immigration (positive values) or emigration (negative values) for four populations over a period of 10 years. Find the
Population 2 starting from 20 individuals.The following table gives the immigration (positive values) or emigration (negative values) for four populations over a period of 10 years. Find the
Population 3 starting from 10 individuals.The following table gives the immigration (positive values) or emigration (negative values) for four populations over a period of 10 years. Find the

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