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business
statistics for business and economics
Questions and Answers of
Statistics For Business And Economics
Use an example to show the similarities and differences between the Sharpe and the Treynor investment performance measures.
Use the following information to answer question. A manufacturer is planning its production for the next 6 months. It has to decide how much of an important ingredient to keep in inventory. The
Use the following information to answer question. A manufacturer is planning its production for the next 6 months. It has to decide how much of an important ingredient to keep in inventory. The
Use the following information to answer question. A manufacturer is planning its production for the next 6 months. It has to decide how much of an important ingredient to keep in inventory. The
Use the following information to answer question. A manufacturer is planning its production for the next 6 months. It has to decide how much of an important ingredient to keep in inventory. The
Use the following information to answer question. A manufacturer is planning its production for the next 6 months. It has to decide how much of an important ingredient to keep in inventory. The
Use the following information to answer question. A company is considering what size copying machine it should lease. The copier comes in three different sizes: small, medium, and large. A larger
Use the following information to answer question. A company is considering what size copying machine it should lease. The copier comes in three different sizes: small, medium, and large. A larger
Use the following information to answer question. A company is considering what size copying machine it should lease. The copier comes in three different sizes: small, medium, and large. A larger
Use the following information to answer question. A company is considering what size copying machine it should lease. The copier comes in three different sizes: small, medium, and large. A larger
Use the following information to answer question. A company is considering what size copying machine it should lease. The copier comes in three different sizes: small, medium, and large. A larger
A limousine chauffeur is going to take a guest from the hotel to the airport. To catch the flight, the chauffeur has to arrive at the airport in 30 min. There are two routes to the airport: a local
Does the risk-averse decision maker ever take any risk?
Use the following information to answer question. Assume an investor has the utility function W1/3, where W is wealth. The state government issues a lottery ticket that pays the winner $300. The
Use the following information to answer question. Assume an investor has the utility function W1/3, where W is wealth. The state government issues a lottery ticket that pays the winner $300. The
Use the following information to answer question. Assume an investor has the utility function W1/3, where W is wealth. The state government issues a lottery ticket that pays the winner $300. The
The owner of a personal computer company is considering whether to install a large or a small new assembly line. The possible payoffs (in thousands of dollars)depend on the state of the economy and
Mr. Montero is deciding how to invest the money for his son’s tuition, which is due 2 months from today. He can put the money in a 2-month certificate of deposit (CD) earning a 10%annual rate of
Use the following information to answer question. Ms. Jones is thinking of investing in a new project that will cost $1,000 to start. There are two ways to raise this $1,000. She can take out $1,000
Use the following information to answer question. Ms. Jones is thinking of investing in a new project that will cost $1,000 to start. There are two ways to raise this $1,000. She can take out $1,000
Use the following information to answer question. Ms. Jones is thinking of investing in a new project that will cost $1,000 to start. There are two ways to raise this $1,000. She can take out $1,000
The owner of the New Land Food Corporation is considering a new project that has the following possible payoffs (in thousands of dollars).The owner’s current assets are worth about $5,000. His
The owner of North American toy company is considering enlarging its production capacity to meet increasing future demand. The company can either expand its old plant or establish a new plant. The
Ace Corporation is sending a shipment of crystal balls from North Carolina to California. There is a chance that the shipment may be damaged, so Ace Corporation is thinking of buying insurance to
An ice cream stand at the beach wants to order some ice cream for the coming weekend. The demand for ice cream depends on the weather. The ice cream has to be ordered in 50-gallon units.The profits
The stockholder will receive whatever is left after bondholders are paid. An investor is thinking of investing $40,000 in the company for 1 year. A year later, she will pull out of the investment.
The stockholder will receive whatever is left after bondholders are paid. An investor is thinking of investing $40,000 in the company for 1 year. A year later, she will pull out of the investment.
The stockholder will receive whatever is left after bondholders are paid. An investor is thinking of investing $40,000 in the company for 1 year. A year later, she will pull out of the investment.
President Reagan was interested in establishing a “defensive wall” to blunt the threat of a nuclear missile attack against this country. The plan was commonly known as “Star Wars.” Assume a
Peter Campbell plans to invest in real estate income property. He plans to hold that property for 7 years. He is considering two income properties, A and B.Their initial investment, cash flows,
The MINITAB output is a market model for Ford stock return. Please explain the result in accordance with Eqs. 21.5 and 21.6.Eqs. 21.5Eqs. 21.6 MTB > PRINT C2-C4 Data Display ROW 1 RE 6 SWNH 2 3 4 5 6
Sandy is going to make investment for the $10,000 which she deposited for the past 2 year. Her financial advisor presented the following tables which show (1)expected profits (in $10,000’s) for
If the financial advisor predicts a boom state, what is the EMV of the investing bond, using the revised probability?Problem 68Sandy is going to make investment for the $10,000 which she deposited
If the advisor predicts a recession state, what is the EMV of the investing bond, using the revised probability?Problem 68Sandy is going to make investment for the $10,000 which she deposited for the
If the advisor predicts a flat state, what is the EMV of investing bond, using the revised probability?Problem 68Sandy is going to make investment for the $10,000 which she deposited for the past 2
Compute the EMV of investing stock, using the revised probability under each predicted state.Problem 68Sandy is going to make investment for the $10,000 which she deposited for the past 2 year. Her
What is the optimal investment plan based on the advisor’s prediction state?Problem 68Sandy is going to make investment for the $10,000 which she deposited for the past 2 year. Her financial
In a hospital, 100 patients were checked for their cholesterol level. The mean was 200 and the standard deviation was 27.2. Do the data collected support the hypothesis that the cholesterol levels
Use the MINITAB or SAS program to answer question.Use the data given in Table 2B.2 in Appendix B of Chap. 2 to estimate the relationship between GM stock’s rate of return and the rate of return for
Suppose you estimate a regression and compute SSE = 17.57 and SSR = 102.76. Calculate SST, R2, and r by using this information.
Use the data and your results from question 59 to estimate the earnings of someone with 15 years of education. Also compute r and R2.Question 59The Department of Education at a university is
A market researcher is interested in who buys Fun Time Cereal. In order to analyze this problem, she collects data on the age of the consumer and how many boxes that person consumes each month.(a)
Use the information given in question 61 to calculate the standard error of the residual. Briefly explain how we can use the standard error of the residual as a measure of the goodness of
Use the data given in question 23 of Chap. 2 to compute the correlation between the dollar/pound exchange rate and the dollar/yen exchange rate.Question 23 of Chap. 2You are given the following
Use the data given in question 24 of Chap. 2 to compute the correlation coefficient between J&J’s current ratio and the industry’s.Question 24 of Chap. 2You are given the following financial
Use the data given in question 24 of Chap. 2 to estimate the regression coefficients for a regression of J&J’s current ratio on the pharmaceutical industry’s current ratio.Question 24 of
Use your results from question 65 to compute the standard error of the estimate.Question 65Use the data given in question 24 of Chap. 2 to estimate the regression coefficients for a regression of
Repeat questions 64–66, using J&J’s inventory turnover.Question 64Use the data given in question 24 of Chap. 2 to compute the correlation coefficient between J&J’s current ratio and the
Repeat questions 64–66, using J&J’s ROA.Question 64Use the data given in question 24 of Chap. 2 to compute the correlation coefficient between J&J’s current ratio and the
Repeat questions 64–66, using J&J’s price–earnings ratio.Question 64Use the data given in question 24 of Chap. 2 to compute the correlation coefficient between J&J’s current ratio and
You are given the following information on unemployment in the United States and in New Jersey (data from New Jersey Economic Indicators, March 1990):Number unemployed (in thousands)If you are
Use the information and MINITAB results from question 70 to compute the standard error of the estimate and the coefficient of determination.Question 70You are given the following information on
Use the data given in question 70 and the MINITAB program to find the correlation coefficient between unemployment in the United States and in New Jersey for 1980–1989.Question 70You are given the
Consider the following table. Fill in the values missing from the table, using the least-squares method. X 5 7 9 11 13 15 xyxy xyy ee (y- y) y 50 35 25 20 15 10
Use your results in question 73 to find the coefficient of determination and the standard error of the estimate.Question 73Consider the following table. Fill in the values missing from the table,
Suppose you estimate a regression and compute SST = 217.47 and SSR = 121.73. Use this information to calculate SSE, R2, and r.
Suppose you estimate a regression and compute SST = 1017.17and SSE =302.33. Use this information to calculate SSR, R2, and r.
Suppose you are interested in finding the relationship between the monthly highest prices of a stock and risk-free interest rates. A regression of the highest stock prices against the risk-free
Compute the correlation coefficient and the R2 between the monthly highest prices of a stock (y, unit: dollar) and risk-free interest rates (x, unit: %). X 1.70 1.74 1.75 1.91 2.17 2.06 2.04 1.93
Use the information given in Problem 78 to estimate the regression of the monthly highest stock price on the risk-free interest rate.Problem 78Compute the correlation coefficient and the R2 between
Use the estimated regression equation from Problem 79. Interpret the results of this regression.Problem 79Use the information given in Problem 78 to estimate the regression of the monthly highest
Use the estimated regression equation from Problem 79. How much is the highest stock price expected to increase or decrease if the risk-free interest rate rises by 0.3?Problem 79Use the information
Here x is the number of units of a product produced during a certain period, and y represents total variable costs incurred during the period.(a) Find the estimated equation for the regression of y
Use again the data given for question 1.(a) Find the standard deviation of the regression line’s slope sb.(b) Find an interval that you can be 95 % confident will containb, the slope of the
In a regression problem, n = 30, x;- 15, y; = 30, = 30, = 10,
In a regression analysis, n = 25, ; = 75, ; = 50, = 625, ; = 30,
For each of the following sets of quantities, find the sample correlation coefficient.Test the hypothesis that ρ = 0. Let α = .05. Use H1: ρ ≠ 0. (a) n = - 11, y = 400, (x-x)(y-y) = 400, .2 =
Find the sample correlation coefficient and test H0: ρ = 0 for the data of question 4. Use H1: ρ ≠ 0 0 and α = .05.Question 4In a regression analysis, n = 25, ; = 75, ; = 50, = 625, ; = 30,
Records were kept on the scores 14 job applicants got on a manual-dexterity test and on their production output after a week on the job.(a) Use the following data and MINITAB program to estimate the
The managers of a weight-loss clinic wish to confirm their belief that there is a relationship between the weight of a person entering the program and the number of pounds lost. The table presents
A certain firm provides expense accounts for its executives. Using the following data, the firm’s human resources department ran a regression analysis to determine whether a relationship exists
Briefly explain what we mean when we say that α and β are unbiased. Why is unbiasedness an important property in an estimator?
Explain the purpose of constructing confidence intervals for the parameters α and β.
What assumptions do we make about the distributions of a and b? Why is this important in constructing confidence intervals?
When we are estimating the regression y = α + βx, which parameter is of greater interest, α or β? Why?
In testing the significance of the parameters, why do we sometimes use a two tailed test and sometimes use a one-tailed test?
In testing the significance of the parameters, why do we sometimes use a z-test and sometimes use a t-test?
Compare the width of a 90%confidence interval with that of a 99%confidence interval. Which is wider? Why?
Compare the standard error of the estimate discussed in Chap. 13 with the standard error of the regression coefficient discussed in this chapter.
What null hypothesis do we generally use in testing the significance of the slope coefficient b?
Ralph Farmer of the Department of Agriculture is interested in the relationship between the amount of fertilizer used and the number of bushels of wheat harvested. He collects the following
Use the MINITAB output from question 19 to construct a 95 % confidence interval forb. Also construct a 90 % confidence interval forb. Which interval is larger?Question 19Ralph Farmer of the
Using the MINITAB output given in question 19, compute SST, SSE, SSR, and R2. Use an F test to test the significance of the regression.Question 19Ralph Farmer of the Department of Agriculture is
A recent study of Departments of Labor in all 50 states indicates that the amount (in thousands of dollars) spent on job placement for the unemployed and the number of people employed has a slope of
In finance, we are often interested in how the return of one stock is related to some market index such as the NYSE. The model we usually estimate to understand this relationship is known as the
In finance, we sometimes choose to estimate the capital asset pricing (CAPM)version of the market model, which is given by the equationwhere Rj,t is the return on a risk-free asset (such as T-bills)
Using R2 as the measure of goodness of fit, compare the market model estimated in question 23 with the CAPM version estimated in question 24.Question 24In finance, we sometimes choose to estimate the
Find a 95 % confidence interval for the slope coefficients you calculated in questions 23 and 24. Which estimate of b has the wider confidence interval?Question 24In finance, we sometimes choose to
Suppose we are interested in testing whether β is equal to 1. Then we would test H0: β = 1 against H1: β ≠ 1. Using the model given in question 23, test this hypothesis.Question 23In finance, we
Repeat questions 23–27, using GM stock’s rates of return.Question 25Using R2 as the measure of goodness of fit, compare the market model estimated in question 23 with the CAPM version estimated
Repeat questions 23–27, using Chrysler stock’s rates of return.Question 25Using R2 as the measure of goodness of fit, compare the market model estimated in question 23 with the CAPM version
Suppose we are interested in the relationship between the return on the risk-free asset (T-bills) and the return on the NYSE index.(a) Estimate the intercept and the slope for a regression of Rm,t on
When we are interested in the relationship between a dependent variable and time, we sometimes use a time-trend regression. That is, we use a dependent variable that consists only of the day, month,
Use the information and your calculations from question 31 to construct a 90 %and a 99 % confidence interval for b.Question 31When we are interested in the relationship between a dependent variable
When estimating the relationship between the price of a good and the quantity of the good sold (the demand curve), economists sometimes choose to transform the price and quantity data by taking the
The batting instructor of the Minnesota Twins is interested in the relationship between number of hours of batting practice and batting average. He collects the following data on 8 players:Use the
Use the data from question 21 of Chap. 13 to compute the standard error of b.Use a t-test to test the significance ofb. Construct a 99 % confidence interval for b.Question 21 of Chap. 13You are given
Use the data from question 33 of Chap. 13 to compute the standard error of b.Use a t-test to test whether b = 1. Construct a 90 % confidence interval for b.Question 33 of Chap. 13
Use the data from question 27 of Chap. 13 to compute the standard errors of a andb. Construct a 95 % confidence interval for both a and b.Question 27 of Chap. 13Suppose you are a safety consultant
Use the information given in question 57 of Chap. 13, and construct a 95 %confidence interval for both a and b.Question 57 of Chap. 13The Department of Accounting at a university is interested in the
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