Business Analytics 2nd Edn 2nd Edition James Evans - Solutions

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For each of the following pairs of coordinates calculate the equation of the line that passes through them, the midpoint of the two coordinates and the distance between them.1. (2,3) and (5,9). 4. (1,–2) and (–5,2).2. (–3,–2) and (–5,8) 5. (–6,4) and (2,10)3. (–5,1) and (1,7) 6.
Factorise the following expressions.1. 8x + 24 6. 2x2 – 3x – 2 2. 3x – 9x3 7. 6x2 – 23x + 7 3. 12y – 2y2 8. a2 + 7a + 6 4. 6y2 + 24y3 9. t2 – 5t – 6 5. x2 + 3x + 2 10. 6b2 + 5b – 6
Expand and simplify the following brackets 1. 2(x + 4) 5. (x + 4)(x –2)2. x(3x + 2) + 2(x –1) 6. 2(3x + 3)(2x –5)3. 2(a + 3) – 4(a –2) 7. (x2 + 3x –2)(x + 3)4. (a + 3)(a –3) 8. (2x + 3)(x –5)(x + 3)
Solve these inequalities 1. 2x – 3 ≤ 7 5. 4x + 2 ≥ 2x + 3 2. 3t < t + 6 6. 3x –1 ≤ x + 5 3. 4t ≥ 5t + 2 7. 2 < 3x – 1 ≤ 8 4. 3t + 2 ≤ 7t + 1 8. 4 ≤ 2x –3 ≤ 9
Confidence Builder Questions: Set 2.2 Solve the following equations for the unknown letter 1. 2x + 4 = 10 5. 7x + 3 = –2x + 12 2. 4x + 2 = 14 6. 14 x + 1 = –5 3. 7x + 12 = 2x –3 7. 23 x + 2 = 5 4. –2x + 3 = x + 9 8. 13 x + 2 = 14 x + 3
10. Given that h = 5t2+2, calculate the value of t when h = 47.
9. Given that h = 5t2 + 2, calculate the value of h when t = –2.
8. Given that A = h(x+10)/2, with A = 27 and h = 4, calculate the value of x.
7. Work out the value of p(q – 3)/4 when p = 2 and q = –7.
6. You are charged 50p per unit of electricity used in your factory with a fixed charge of £22.Write down a formula for the cost C of using n units of electricty and calculate how much it would cost to use 1200 units of electricity.
5. The demand function of a certain product us given by Qd = 40 – 2P. What would the demand be equal to if the price P = 2.50?
4. Given that x = 4 and y = –3 calculate the value of z = (x2 – y2)/(x – y)
3. Given that f = –5 and g = –2 calculate the value of h = –2f – 3g.
2. Given that x = –3 and y = 2 calculate the value of z = x2 + y2.
1. Given that a = 3 and b = 2, calculate the value of c = a2 – 2b.
4. For the following questions give your answers to the nearest pound.(a) You invest £10,000 in a savings account with a nominal rate of interest of 5%.Assuming the interest is compounded yearly how much would the investment be worth after 5 years?(b) You invest £12,500 in a savings account with
3. For the following questions give your answers to two decimal places if required.(a) The cost of a laptop has decreased from £600 to £400. What is the percentage decrease in the cost of the laptop?(b) The cost of a new phone has increased from £799 to £999. What is the percentage increase in
2. (a) A pair of jeans cost £80 before being reduced by 20%. What is the new price?(b) A pair of shoes cost £40 before being reduced by 30%.What is the new price of the shoes?(c) A car costs £20,000 before VAT is added. What is the new cost of the car?(d) A car costs £25,500 after VAT is added.
1. (a) Calculate 25% of 120. (b) Calculate 30% of 480.(c) Calculate 74% of 1300. (d) Calculate 57% of 1450.(e) Calculate 28% of 6780. (f ) Calculate 21% of 1340.
3. Calculate the following currency conversion questions using the given exchange rates:GBP (£) 1 =US dollar 1.311 Euro 1.254(a) Edward buys a watch in the US for 1200 US dollars. How much would the watch cost in GB pounds?(b) Graham wants to exchange £2000 into US dollars. How many dollars will
2. Share the following amounts in the given ratios.(a) Share £1000 in the ratio 1 : 4. (b) Share £3500 in the ratio 2 : 3.(c) Share £400 in the ratio 1 : 3. (d) Share £500 in the ratio 1 : 4 : 5.(e) Share £875 in the ratio 1 : 1 : 3. (f ) Share £580 in the ratio 1 : 3 : 6.
1. Simplify the following ratios(a) 12 : 18 (b) 120 : 40 (c) 13 : 52 (d) 6 : 21 (e) 27 : 15(f ) 10 : 200 (g) 15 : 18 (h) 24 : 64 (i) 18 : 63 (j) 5 : 15
Confidence Builder Questions: Set 1.6 Write the following in standard form 1. 12,000 2. 0.00981 3. 1,414,000 4. 0.0000008721 5. 120.431 6. 0.00187 7. 893.7810 8. 76,650,000 9. 0.00911 10. 34,000,000 11. 98.2891 12. 0.0000000223 13. 156,000,000,000 14. 13.981
Confidence Builder Questions: Set 1.5 Simplify the following expressions m7 1. m2 m6n8 2. m2n3 m2 × m4 3. m3 m7 × m−2 × m3 4. m3 × m2 2√m × n2 × 3√n 5. 4m2 × n3(m2 )3 6. (m2 )3√m3 7. m−3 2m2 ×(n3)4 ×(m3)−2 8. 3m4 × (n2)3(m2 × n3)3 9. (m × n2)2(2m2 × n4)2 10. (3m2 × n3)4
Confidence Builder Questions: Set 1.4 Calculate the value of the following:1. 2 + 1 5 7 2. 1 – 2 3 9 3. 4 + 3 7 10 4. 7 – 3 5 8 5. 2 3 + 2 4 7 6. 1 3 – 11 7 8 7. 4 + 2 13 20 8. 7 – 11 5 8 9. 3 × 14 7 15 10. 2 ÷ 3 3 7 11. 5 × 16 8 21 12. 8 ÷ 7 7 6 13. 2 1 × 7 2 9 14. 2 4 ÷ 17 7 8 15. 1
2. Calculate the prime factorisation of the following numbers(a) 210. (d) 700.(b) 102 (e) 620.(c) 350. (f ) 1200.
1. Calculate the highest common factor and lowest common multiple of the following pairs of numbers(a) 12 and 15. (d) 10 and 22.(b) 15 and 45. (e) 18 and 32.(c) 12 and 18. (f ) 21 and 28.
Confidence Builder Questions: Set 1.2 1. Write 24,021 to three significant figures.6. Write 0.00088313 to six decimal places.2. Write 2.6581 to two decimal places.7. Write -12.789118 to three significant figures.3. Write 32.482 to three significant figures 8. Write -2.1118 to one decimal places.4.
Confidence Builder Questions: Set 1.1 1. −5 × −3 + 2 2. 2 + 3 × 4 − 3 3. 8 ÷ (−2 − 2)4. 7 − 4(22 − 6)5. −2 + 3 × 42 6. 4 ÷ 22 + 8 ÷ 4 7. (2 + 3 × 2)(3 + 2 × 3)8. (2 + 32 ÷ 9 − 2)(1 + 5 × 10)9. 1 + 4 × 3 22 10. 22 + 3(2 + 4)2 × 8 − 5(23 − 7)
23. Data in the Excel File Microprocessor Data shows the demand for one type of chip used in industrial equipment from a small manufacturer.a. Construct a chart of the data. What appears to happen when a new chip is introduced?b. Develop a causal regression model to forecast de- mand that includes
22. Choose an appropriate forecasting technique for the data in the Excel file Treasury Yield Rates and find the best forecasting model. Explain how you would use the model to forecast and how far into the future it would be appropriate to forecast.
21. Choose an appropriate forecasting technique for the data in the Excel file Gaussian Response and find the ?
20. Choose an appropriate forecasting technique for the data in the Excel file Mortgage Rates and find the best forecasting model. Explain how you would use the model to forecast and how far into the future it would be appropriate to forecast.
19. Choose an appropriate forecasting technique for the data in the Excel file Inflation Rates US and find the best forecasting model. Explain how you would use the model to forecast, and how far into the future it would be appropriate to forecast.
18. Choose an appropriate forecasting technique for the data in the Excel file DJIA December Close and find the best forecasting model. Explain how you would use the model to forecast and how far into the future it would be appropriate to forecast.
17. Choose an appropriate forecasting technique for the data in the Excel file Coal Consumption and find the best forecasting model. Explain how you would use the model to forecast and how far into the future it would be appropriate to forecast.
16. The Excel file Olympic Track and Field Data provides the gold medal-winning distances for the high jump, discus, and long jump for the modern Olympic Games. Develop forecasting models for each of the events. What do your models predict for the next Olympics?
15. The Excel file CD Interest Rates provides annual average interest rates on 6-month certificate of de- posits. Compare the Holt-Winters additive and mul- tiplicative models using XLMiner with the default parameters and a season of 6 years. Why does the multiplicative model provide better results?
14. Use the Holt-Winters no-trend model to find the best model to find forecasts for the next 12 months in the Excel file Housing Starts.
13. The Excel file Census Data provides annual average expenditures and income levels of the people in the U.S. Develop forecasting models for each of the data type. What do your models predict for the next two years?.
12. Develop a multiple regression model with categori- cal variables that incorporate seasonality for fore- casting housing starts beginning in June 2006 using the data in the Excel file Housing Starts.
11. Develop a multiple regression model with categori- cal variables that incorporate seasonality for fore- casting sales using the last three years of data in the Excel file New Car Sales.
10. Develop a multiple linear regression model with cat- egorical variables that incorporate seasonality for forecasting the deaths caused by accidents in the U.S. Use the data for years 1976 and 1977 in the Excel file Accidental Deaths. Use the model to generate forecasts for the next nine months,
9. Consider the data in the Excel file Internet Users. Use simple linear regression to forecast the data. What would be the forecast for the next three years?
8. Consider the data in the Excel file Consumer Price Index.a. Use simple linear regression to forecast the data. What would be the forecasts for the next 2 years?b. Use the double exponential smoothing procedure in XLMiner to find forecasts for the next 2 years.
7. Consider the prices for the DJ Industrials in the Excel file Closing Stock Prices. The data appear to have a linear trend over the time period provided.
6. For the data in the Excel file Gasoline Prices do the following:a. Develop spreadsheet models for forecasting prices using simple moving average and simple exponential smoothing.3. The Excel file Energy Production & Consumption provides data on production, imports, exports, and consumption.
5. The Excel file Closing Stock Prices provides data for four stocks and the Dow Jones Industrials Index over a 1-month period.a. Develop spreadsheet models for forecasting each of the stock prices using simple 2-period moving average and simple exponential smoothing with a smoothing constant of
4. The Excel file New Registered Users provides data on monthly new registrations on a Web site for four years. Compare the three-month and twelve-month moving average forecasts using the MAD criterion. Explain which model yields better results and why.
3. Are any of these time series stationary? In forecasting the future, discuss whether all or only a portion of the data should be used.
2. Search the Conference Board's Web site to find business cycle indicators, and the components and and identify key characteristics of the time series (e.g., trends or cycles).
31. Use XLMiner and best subsets with stepwise selec- tion to find the best model points per game for the National Football League data (see Problem 23).
30. For the Excel file Cereal Data, use XLMiner and best subsets with backward selection to find the best model.
29. A product manufacturer wishes to determine the relationship between the shelf space of the prod- uct and its sales. Past data indicates the following sales and shelf space in its stores.
28. Cost functions are often nonlinear with volume be- cause production facilities are often able to produce larger quantities at lower rates than smaller quanti- ties. Using the following data, apply simple linear regression, and examine the residual plot. What do you conclude? Construct a scatter
27. For the Excel file Auto Survey,a. Find the best regression model to predict miles/ gallon as a function of vehicle age and mileage.b. Using your result from part (a), add the categori- cal variable Purchased to the model. Does this change your result?c. Determine whether any significant
26. For the Car Sales data described in Problem 25, de- velop a regression model for selling price as a function of horsepower and manufacture year, incorporating an interaction term. What would be the predicted price for a car manufactured in either 2002 or 2003 with a horsepower of 69? How do
25. A leading car manufacturer tracks the data of its used cars for resale. The Excel file Car Sales contains in- formation on the selling price of the car, fuel type (diesel or petrol), horsepower (HP), and manufacture year. a Develop a multiple linear regression model for the selling price as a
24. The State of Ohio Department of Education has a man- dated ninth-grade proficiency test that covers writing, reading, mathematics, citizenship (social studies), and science. The Excel file Ohio Education Performance provides data on success rates (defined as the percent of students passing) in
23. Use the p-value criterion to find a good model for predicting the number of points scored per game by football teams using the data in the Excel file National Football League.
22. The Excel file Golfing Statistics provides data for a portion of the 2010 professional season for the top 25 golfers.
21. The Excel file Major League Baseball provides data on the 2010 season.a. Construct and examine the correlation matrix. Is multicollinearity a potential problem?b. Suggest an appropriate set of independent vari- ables that predict the number of wins by examin- ing the correlation matrix.c. Find
20. Using the data in the Excel file Freshman College Data, identify the best regression model for pre- dicting the first year retention rate. For the model you select, conduct further analysis to check for significance of the independent variables and for multicollinearity.
19. The Excel file Credit Approval Decisions provides information on credit history for a sample of banking customers. Use regression analysis to identify the best
18. The Excel file Salary Data provides information on current salary, beginning salary, previous experience (in months) when hired, and total years of education for a sample of 100 employees in a firm.a. Develop a multiple regression model for pre- dicting current salary as a function of the other
16. Using the data in the Excel file Credit Card Spend- ing, develop a multiple linear regression model for estimating the average credit card expenditure as a function of both the income and family size. Predict the average expense of a family that has two mem- bers and an income of $188,000 per
14. A deep-foundation engineering contractor has bid on a foundation system for a new building housing the world headquarters for a Fortune 500 company.
13. The Excel file National Football League provides various data on professional football for one season.a. Construct a scatter diagram for Points/Game and Yards/Game in the Excel file. Does there appear to be a linear relationship?b. Develop a regression model for predicting Points/Game as a
12. Using the data in the Excel file Student Grades, ap- ply the Excel Regression tool using the midterm grade as the independent variable and the final exam grade as the dependent variable.a. Interpret all key regression results, hypothesis tests, and confidence intervals in the output.b. Analyze
10. Using the Excel file Weddings, apply the Excel Re- gression tool using the wedding cost as the dependent variable and the couple's income as the independent variable, only for those weddings paid for by the bride and groom.
5. Are there differences in employee retention due to gender, college graduation status, or whether the employee is from the local area in the data in the worksheet Employee Retention?
4. Although engineering has collected data on al- ternative process costs for building transmissionsin the worksheet Transmission Costs, why didn't they reach a conclusion as to whether one of the proposed processes is better than the current process?
3. Have the data in the worksheet Defects After Delivery changed significantly over the past 5 years?
2. In the worksheet On-Time Delivery, has the proportion of on-time deliveries in 2014 signifi- cantly improved since 2010?
1. Are there significant differences in ratings of spe- cific product/service attributes in the 2014 Cus- tomer Survey worksheet?
36. For the data in the Excel file New Account Process- ing, perform chi-square tests for independence to de- termine if certification is independent of gender, and if certification is independent of having prior indus- try background.
35. For the data in the Excel file Graduate School Sur- vey, perform a chi-square test for independence to determine if plans to attend graduate school are inde- pendent of gender.
34. For the data in the Excel file Accounting Profes- sionals, perform a chi-square test of independence to determine if age group is independent of having a graduate degree.
33. A survey of college students determined the prefer- ence for cell phone providers. The following data were obtained:
32. A car manufacturing firm is bringing out a new model. To figure out its advertising campaign, they want to determine whether the model appeal will be dependent on a particular age group. A sample of a customer survey revealed the following:
31. Using the data in the Excel file Freshman College Data, use ANOVA to determine whether significant dif- ferences exist in the mean retention rate for the different colleges over the 4-year period. Second, use ANOVA to determine if significant differences exist in the mean ACT and SAT scores
30. Using the data in the Excel file Cell Phone Survey, apply ANOVA to determine if the mean response for Value for the Dollar is the same for different types of cell phones.
29. A college is trying to determine if there is a signifi- cant difference in the mean GMAT score of students from different undergraduate backgrounds who apply to the MBA program. The Excel file GMAT
28. In the Excel file Restaurant Sales, determine if the variance of weekday sales is the same as that of weekend sales for each of the three variables (lunch, dinner, and delivery).
27. Using the data in the Excel file Student Grades, which represent exam scores in one section of a large statistics course, test the hypothesis that the variance in grades is the same for both tests.
26. The Excel file Unions and Labor Law Data reports the percent of public- and private-sector employ- ees in unions in 1982 for each state, along with indicators whether the states had a bargaining law that covered public employees or right-to-work laws.a. Test the hypothesis that the mean percent
25. Using the data in the Excel file Ohio Education Per- formance, test the hypotheses that the mean differ- ence in writing and reading scores is zero and that the mean difference in math and science scores is zero. Use the paired-sample procedure.
24. A producer of computer-aided design software for the aerospace industry receives numerous calls for technical support. Tracking software is used to monitor response and resolution times. In addi- tion, the company surveys customers who request support using the following scale: 0-did not ex-
23. The director of human resources for a large bank has compiled data on about 70 former employees at one of the bank's call centers (see the Excel file Call Center Data). For each of the following, assume equal variances of the two populations.a. Test the null hypothesis that the average length
22. Determine if there is evidence to conclude that the mean GPA of males who plan to attend graduate school is larger than that of females who plan to at- tend graduate school using the data in the Excel file Graduate School Survey.
21. A sample size of 22 with a mean of 8 and a standard deviation of 12.5 test the hypothesis that the value of the population mean is 70 against the assumption that it is more than 70. Use the 0.025 significant levels.
20. In the Excel file Cell Phone Survey, test the hypoth- esis that the mean responses for Value for the Dollar and Customer Service do not differ by gender.
19. The Excel file Accounting Professionals provides the results of a survey of 27 employees in a tax division of a Fortune 100 company.a. Test the null hypothesis that the average number of years of service is the same for males and females.b. Test the null hypothesis that the average years of
18. Determine if there is evidence to conclude that the mean number of vacations taken by married individuals is less than the number taken by single/divorced indi- viduals using the data in the Excel file Vacation Survey. Use a level of significance of 0.05. Would your conclu- sion change if the
17. Using the Excel file Facebook Survey, determine if the mean number of hours spent online per week is the same for males as it is for females.
16. Using the data in the Excel file Consumer Transporta- tion Survey, test the following null hypotheses:a. Individuals spend at least 8 hours per week in their vehicles.b. Individuals drive an average of 600 miles per week.c. The average age of SUV drivers is no greater than 35.d. At least 80% of
15. An employer is considering negotiating its pric- ing structure for health insurance with its provider if there is sufficient evidence that customers will be willing to pay a lower premium for a higher deduct- ible. Specifically, they want at least 30% of their employees to be willing to do
14. The Excel file Room Inspection provides data for 100 room inspections at each of 25 hotels in a ma- jor chain. Management would like the proportion of nonconforming rooms to be less than 2%. Test an ap- propriate hypothesis to determine if management can make this claim.
13. The Excel file Sales Data provides data on a sample of customers. An industry trade publication stated that the average profit per customer for this industry was at least $4,500. Using a test of hypothesis, do the data support this claim or not?
12. Formulate and test hypotheses to determine if statis- tical evidence suggests that the graduation rate for (1) top liberal arts colleges or (2) research universi- ties in the sample Colleges and Universities exceeds 90%. Do the data support a conclusion that the grad- uation rates exceed 85% ?

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Business Analytics 2nd Edn 2nd Edition James Evans - Solutions

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