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Questions and Answers of Statistics

A corporation owns several companies. The strategic planner for the corporation believes dollars spent on advertising can to some extent be a predictor of total sales dollars. As an aid in long-term
Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is, bonds perform well when lending rates are down and perform poorly
Is it possible to predict the annual number of business bankruptcies by the number of firm births (business starts) in the United States? The following data published by the U.S. Small Business
It appears that over the past 45 years, the number of farms in the United States declined while the average size of farms increased. The following data provided by the U.S. Department of Agriculture
Can the annual new orders for manufacturing in the United States be predicted by the raw steel production in the United States? Shown on the next page are the annual new orders for 10 years according
Determine the equation of the regression line for the following data, and compute theresiduals.
Solve for the predicted values of y and the residuals for the data in Problem 12.6. The data are provided hereagain:
Solve for the predicted values of y and the residuals for the data in Problem 12.7. The data are provided hereagain:
Solve for the predicted values of y and the residuals for the data in Problem 12.8. The data are provided hereagain:
Solve for the predicted values of y and the residuals for the data in Problem 12.9. The data are provided hereagain:
In problem 12.10, you were asked to develop the equation of a regression model to predict the number of business bankruptcies by the number of firm births. Using this regression model and the data
The equation of a regression line isy = 50.506 â€“ 1.646xAnd the data are as follows.Solve for the residuals and graph a residual plot. Do these data seem to violate any of the assumptions
Wisconsin is an important milk-producing state. Some people might argue that because of transportation costs, the cost of milk increases with the distance of markets from Wisconsin. Suppose the milk
Graph the following residuals, and indicate which of the assumptions underlying regression appear to be in jeopardy on the basis of the graph.xy – ẏ213 .......... -11216 .......... -5227
Graph the following residuals, and indicate which of the assumptions underlyingregression appear to be in jeopardy on the basis of the graph.xy – ẏ10 .......... +611 .......... +312 ..........
Study the following Minitab Residuals Versus Fits graphic for a simple regression analysis. Comment on the residual evidence of lack of compliance with the regressionassumptions.
Determine the sum of squares of error (SSE) and the standard error of the estimate (se) for Problem 12.6. Determine how many of the residuals computed in Problem 12.14 (for Problem 12.6) are within
Determine the SSE and the se for Problem 12.7. Use the residuals computed in Problem 12.15 (for Problem 12.7) and determine how many of them are within ±1se and ±2se. How do these numbers compare
Determine the SSE and the se for Problem 12.8. Think about the variables being analyzed by regression in this problem and comment on the value of se.In Problem 12.8Advertising Sales12.5
Determine the SSE and se for Problem 12.9. Examine the variables being analyzed by regression in this problem and comment on the value of se.In Problem 12.9Bond Rate Prime Interest Rate5%
In problem 12.10, you were asked to develop the equation of a regression model to predict the number of business bankruptcies by the number of firm births. For this regression model, solve for the
Use the data from problem 12.19 and determine the se.In problem 12.19y = 50.506 â€“ 1.646xAnd the data are asfollows.
Determine the SSE and the se for Problem 12.20. Comment on the size of se for this regression model, which is used to predict the cost of milk.In Problem 12.20Cost of Milk Distance from Madison(per
Determine the equation of the regression line to predict annual sales of a company from the yearly stock market volume of shares sold in a recent year. Compute the standard error of the estimate for
Compute r2 for Problem 12.24 (Problem 12.6). Discuss the value of r2 obtained.(in Problem12.6)
Compute r2 for Problem 12.25 (Problem 12.7). Discuss the value of r2 obtained.In (Problem12.7)
Compute r2 for Problem 12.26 (Problem 12.8). Discuss the value of r2 obtained.(In Problem 12.8).Advertising Sales12.5 ..............1483.7 .............. 5521.6 ..............33860.0
Compute r2 for Problem 12.27 (Problem 12.9). Discuss the value of r2 obtained.(in Problem 12.9).Bond Rate Prime Interest Rate5% ..............16%12 ..............69 ..............815 ..............47
In problem 12.10, you were asked to develop the equation of a regression model to predict the number of business bankruptcies by the number of firm births. For this regression model, solve for the
The Conference Board produces a Consumer Confidence Index (CCI) that reflectspeople’s feelings about general business conditions, employment opportunities, and their own income prospects. Some
Test the slope of the regression line determined in Problem 12.6. Use Î± = .05.in Problem12.6.
Test the slope of the regression line determined in Problem 12.7. Use Î± = .01.In Problem12.
Test the slope of the regression line determined in Problem 12.8. Use α = .10.in Problem 12.8Advertising Sales12.5 ..............1483.7 .............. 5521.6 ..............33860.0
Test the slope of the regression line determined in Problem 12.9. Use a 5% level of significance.In Problem 12.9Bond Rate Prime Interest Rate5% ..............16%12 ..............69 ..............815
Test the slope of the regression line developed in Problem 12.10. Use a 5% level of significance.in Problem 12.10Business Bankruptcies Firm Births(1000) (10,000)34.3 ..............58.135.0
Study the following analysis of variance table, which was generated from a simple regression analysis. Discuss the F test of the overall model. Determine the value of t and test the slope of the
Construct a 95% confidence interval for the average value of y for Problem 12.6. Use x = 25.In Problem12.6
Construct a 90% prediction interval for a single value of y for Problem 12.7; use x = 100. Construct a 90% prediction interval for a single value of y for Problem 14.2; use x = 130. Compare the
Construct a 98% confidence interval for the average value of y for Problem 12.8; use x = 20. Construct a 98% prediction interval for a single value of y for Problem 14.3; use x = 20.Which is wider?
Construct a 99% confidence interval for the average bond rate in Problem 12.9 for a prime interest rate of 10%. Discuss the meaning of this confidence interval.in Problem 12.9Bond Rate Prime Interest
Determine the equation of the trend line for the data shown below on U.S. exports of fertilizers to Indonesia over a five-year period provided by the U.S Census Bureau. Using the trend line equation,
Shown below are rental and leasing revenue figures for office machinery and equipment in the United States over a seven-year period according to the U.S. Census Bureau. Use these data to construct a
After a somewhat uncertain start, e-commerce sales in the United States have been growing for the past several years. Shown below are quarterly e-commerce sales figures ($ billions) released by the
Determine the Pearson product-moment correlation coefficient for the followingdata.
Use the following data for parts (a) through (f).a. Determine the equation of the least squares regression line to predict y by x.b. Using the x values, solve for the predicted values of y and the
Use the following data for parts (a) through (g).a. Determine the equation of the simple regression line to predict y from x.b. Using the x values, solve for the predicted values of y and the
If you were to develop a regression line to predict y by x, what value would the coefficient of determinationhave?
Determine the equation of the least squares regressionline to predict y from the following data.a. Construct a 95% confidence interval to estimate the mean y value for x = 60.b. Construct a 95%
Determine the equation of the trend line through the following cost data.Use the equation of the line to forecast cost for year 7.Year Cost ($ millions)1 .......562 .......543 .......494 .......465
A manager of a car dealership believes there is a relationship between the number of salespeople on duty and the number of cars sold. Suppose the following sample is used to develop a simple
Executives of a video rental chain want to predict the success of a potential new store. The company's researcher begins by gathering information on number of rentals and average family income from
It seems logical that restaurant chains with more units (restaurants) would have greater sales. This assumption is mitigated, however, by several possibilities: some units may be more profitable than
Shown here are the total employment labor force figures for the country of Romania over a 13-year period published in LABORSTA. Develop the equation of a trend line through these data and use the
How strong is the correlation between the inflation rate and 30-year treasury yields? The following data published by Fuji Securities are given as pairs of inflation rates and treasury yields for
According to the National Marine Fisheries Service, the current landings in millions of pounds of fish by U.S. fleets are almost double what they were in the 1970s. In other words, fishing has not
People in the aerospace industry believe the cost of a space project is a function of the weight of the major object being sent into space. Use the following data to develop a regression model to
The following data represent a breakdown of state banks and all savings organizations in the United States every 5 years over a 60-year span according to the Federal Reserve System.Develop a
Is the amount of money spent by companies on advertising a function of the total sales of the company? Show are sales income and advertising cost data for seven companies published by Advertising
Can the consumption of water in a city be predicted by temperature? The following data represent a sample of a day's water consumption and the high temperature for that day.Water Use
Study the following Minitab output from a regression analysis to predict y from x.a. What is the equation of the regression model?b. What is the meaning of the coefficient of x?c. What is the result
Study the following Excel regression output for an analysis attempting to predict the number of union members in the United States by the size of the labor force for selected years over a 30-year
Study the following Minitab residual diagnostic graphs. Comment on any possible violations of regressionassumptions.
Starbucks is a resounding restaurant success story. Beginning with its first coffee house in 1971, Starbucks has grown to more than 11,000 U.S. locations. Opening up its first international outlet in
Use a computer to develop the equation of the regression model for the following data. Comment on the regression coefficients.Determine the predicted value of y for x1 = 200 and x =7.
Use a computer to develop the equation of the regression model for the following data. Comment on the regression coefficients.Determine the predicted value of y for x1 = 33, x2 = 29, and x =13.
Using the following data, determine the equation of the regression model. How many independent variables are there? Comment on the meaning of these regression coefficients.Predictor
Use the following data to determine the equation of the multiple regression model. Comment on the regression coefficients.Predictor CoefficientConstant .......31,409.5x1 ......... .08425x2 .........
Is there a particular product that is an indicator of per capita personal consumption for countries around the world? Shown on the next page are data on per capita personal consumption, paper
Jensen, Solberg, and Zorn investigated the relationship of insider ownership, debt, and dividend policies in companies. One of their findings was that firms with high insider ownership choose lower
Examine the Minitab output shown here for a multiple regression analysis. How many predictors were there in this model? Comment on the overall significance of the regression model. Discuss the t
Displayed here is the Minitab output for a multiple regression analysis. Study the ANOVA table and the t ratios and use these to discuss the strengths of the regression model and the predictors. Does
Using the data in Problem 13.5, develop a multiple regression model to predict per capita personal consumption by the consumption of paper, fish, and gasoline. Discuss the output and pay particular
Using the data from Problem 13.6, develop a multiple regression model to predict insider ownership from debt ratio and dividend payout. Comment on the strength of the model and the predictors by
Develop a multiple regression model to predict y from x1, x2, and x3 using the following data.Discuss the values of F andt.
Use the following data to develop a regression model to predict y from x1 and x2. Comment on the output. Develop a regression model to predict y from x1 only. Compare the results of this model with
Study the following Excel multiple regression output. How many predictors are in this model? How many observations? What is the equation of the regression line? Discuss the strength of the model in
Study the Minitab output shown in Problem 13.7. Comment on the overall strength of the regression model in light of S, R2, and adjusted R2.In Problem 13.7The regression equationis
Study the Minitab output shown in Problem 13.8. Comment on the overall strength of the regression model in light of S, R2, and adjusted R2.
Using the regression output obtained by working Problem 13.5, comment on the overall strength of the regression model using S, R2, and adjusted R2.
Using the regression output obtained by working Problem 13.11, comment on the overall strength of the regression model using S, R2, and adjusted R2.
Using the regression output obtained by working Problem 13.12, comment on the overall strength of the regression model using S, R2, and adjusted R2.
Study the Excel output shown in Problem 13.13. Comment on the overall strength of the regression model in light of S, R2, and adjusted R2.
Study the Minitab residual diagnostic output that follows. Discuss any potential problems with meeting the regression assumptions for this regression analysis based on the residualgraphics.
Study the Minitab regression output that follows. How many predictors are there? What is the equation of the regression model? Using the key statistics discussed in this chapter, discuss the strength
Study the Excel regression output that follows. How many predictors are there? What is the equation of the regression model? Using the key statistics discussed in this chapter, discuss the strength
Use the following data to develop a multiple regression model to predict y from x1 and x2. Discuss the output, including comments about the overall strength of the model, the significance of the
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 theoutput.
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 multiple regression to produce a
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 (in millions of bushels) for three farm products for 10 years
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
Shown here are the data for y and three predictors, x1, x2, and x3. A multiple regression analysis has been done on these data; the Minitab results are given.Comment on the outcome of the analysis in
Minitab residual diagnostic output from the multiple regression analysis for the data given in Problem 13.30 follows. Discuss any potential problems with meeting the regression assumptions for this
Virginia Semiconductor is a leading manufacturer of prime silicon substrates. The company, situated in Fredericksburg, Virginia, was founded in 1978 by Dr. Thomas G. Digges and his brother, Robert.
Use the following data to develop a quadratic model to predict y from x. Develop a simple regression model from the data and compare the results of the two models. Does the quadratic model seem to
Develop a multiple regression model of the formy = b0bx1 Ïµusing the following data to predict y from x. From a scatter plot and Tukeyâ€™s ladder of transformation, explore ways to recode the
The Publishers Information Bureau in New York City released magazine advertising expenditure data compiled by leading national advertisers. The data were organized by product type over several years.
Dun & Bradstreet reports, among other things, information about new business incorporations and number of business failures over several years. Shown here are data on business failures and
Use the following data to develop a curvilinear model to predict y. Include both x1and x2 in the model in addition to x21 and x22, and the interaction term x1 x2. Comment on the overall strength of

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