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# Regression Analysis

### Regression equation AK8: Age and repair costs of buses for regional transit authority

8. The regional transit authority for a major metropolitan area wants to determine whether there is any relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the following data. (Use of TI - 83 plus calculator permited given that steps are provided). Age of the Bus (yrs.)

### Ask a sample of people if they take vitamins/supplements daily and how many (see data attached). Conduct a regression analysis to determine if age (independent variable) has any effect on the number of vitamins/supplements people take. Use the "Correlation and Regression" spreadsheet. Again, enter data in yellow and read output in blue. Explain your answer.

Ask a sample of people if they take vitamins/supplements daily and how many (see data attached). Conduct a regression analysis to determine if age (independent variable) has any effect on the number of vitamins/supplements people take. Use the "Correlation and Regression" spreadsheet. Again, enter data in yellow and read outp

### Regression Analysis: Home market value, college and university data, concert sales

[See attached files.] This assignment introduces you to applications of simple and multiple regression. You will apply these models for predicting and forecasting and, determining the strength of the relationship between a variable y and a number of variables X1, ..., Xp. Skill- Building Exercises: ? 1. For the Home M

### Academic approach to Case study

[See attached file.] The ThermoStar Case ThermoStar has been producing residential thermostats for over 50 years. Looking over the past 20 quarters (5 years) of the different product lines, the general manager has been trying to get a handle on sales, costs, and production, and has asked for your help. Your response t

### Production costs for textbooks, a linear regression equation

See attached file for clarity. Data Item Quantity (# of Books Produced) Total Cost of Production 1 2 \$30 2 5 \$40 3 8 \$73 4 10 \$100 5 11 \$130 6 12 \$90 7 14 \$150 8 15 \$160 9 16 \$160 10 17 \$180 11 18 \$240 12 19 \$280 13 20 \$180 14 21 \$181 15 22 \$185 16 23 \$190 17 24 \$200 18 25 \$200 19 26 \$275 20 28 \$215 21 30

### Legal decision related to racial discrimination

In Bazemore v. Friday, 478 U.S. 385 (1986), a case involving pay discrimination in the North Carolina Extension Service, the plaintiff, a group of black agents, submitted a multiple regression model showing that, on average, the black agents' salary was lower than that of their white counterparts. When the case reached the court

### 15.23 Least-square Regression Line - National Football Tds and Interceptions

See attached file. (15.23) For the National Football League, ratings for the alltime leading passers were as shown below. Also shown for each quarterback is the percentage of passes that were interceptions, along with the percentage of passes that were touchdowns. Player Rating TD% Int

### Statistics: Stereo Speakers, Auto Speeds and Fuel Consumption for New Cars Sold

See attached file for tables. Set of problems. Show all essential work. Problem 1 Consider the following prices and accuracy ratings for 27 stereo speakers. (a) Make a scatter plot of accuracy rating as a function of price. (b) Calculate the correlation coefficient. At ? = .05, does the correlation differ from zero?

### Econometrics problem: Hourly Earnings and Unemployment Rate

See attached files. The excel document is the data needed for the question and the other 3 uploads are the references to the question in the problem: Hourly Earnings and Unemployment Rate Complete Problem 5.29 of Chapter 5. 5.29. Refer to Example 5.6 in the chapter. It was shown that the percentage change in the ind

### Econometrics: Using CPI data, plot a scattergram and analyze

See the attached file forthe formula. Econometrics 2.12 Table 2-9 gives data on the Consumer Price Index (CPI) for all items (1982-1984=100) and the Standard & Poor's (S&P) index of 500 common stock prices (base of index: 1941-1943=10). Complete letters a through e in the questions that follow the table. Table 2-9

### HR Statistical data analysis and evaluation: mean, median, deviation, t-test, ANOVA

Identify the types of processes and analyses used in HR that use data analysis and evaluation. Discuss generally how statistics can be used in hiring, turnover, performance management, training, culture assessments, and other dashboard indicators of overall health and performance of the employee group. Consider how

### Forecasting methods: simple moving average, weighted, exponential smoothing

Ch. 13, 14, & 16 of Operations Management for Competitive Advantage. Chapter 13: a. From the choice of simple moving average, weighted moving average, exponential smoothing, and linear regression analysis, which forecasting technique would you consider the most accurate? Why? b. Complete Problem 17 - be sure to sho

### Portfolio returns: Use Excel and Megastat for linear model, regression model, ANOVA

12.33 Use Excel's Add Trend-line feature to fit a linear regression to the scatter plot. Is a linear model credible? 12.35 Use Megastat to fit the regression model, including residuals and standardized residuals. 12.37 ( a) based on the R2 and ANOVA table for your model, how would you assess the fit? (b) Interpret the p-v

### Statistic Study Discussion Questions: Chapter 16 and 17l

See attached file for clarity. Study Discussion Questions for final Problem Set 2: Chapter 16 and 17 Chapter 16 2. What information is provided by the numerical value of the Pearson correlation? The numerical value of the Pearson correlation indicates how well the data points fit a straight line. And the value of 1.0

### Multiple Regression Diagnostics for beginning salary

See attached data file. Using the salary.sav data file found in SPSS/PASW, predict the natural log of beginning salary from gender, education level, work experience, and minority status (variables sex, ed level, work, and minority). Save the leverages, Studentized residuals, standardized changes in the regression coefficient

### Statistics Multiple regression analysis: Yearly income using GPA, age, gender

31.) A multiple regression analysis between yearly income (Y in \$1,000s), college grade point average (X1), age of the individuals (X2), and the gender of the individual (X3; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained. Coefficients

### Calculate the Regression Line for Appetizer: purchasing food v restaurants

You are a manager with Appetizer. The company owns a chain of restaurants in the United States. Appetizer is looking for an opportunity to expand. As part of a market analysis, you have to send a handout in a Word document to the COO of the company, exploring the relationship between the expenditure by people on purchasing food

### Statistics: Student absences vs final grade using a linear regression equation

A statistics instructor, wishes to study the relationship between the number of absences students have and their final course grades. The data obtained for o randomly selected statistics students is given below:... (Please see attached files) (a) Find the equation of the linear regression line. (b) What is the predicted final

### Final Questions: 13 Statistics problems

1. Routine physical examinations are conducted annually as part of a health service program for the employees. It was discovered that 8% of the employees needed corrective shoes, 15% needed major dental work and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random wil

### Statistics: survey results, level of significance, equation of least squares regression line

1. An obstetrician wants to learn whether the amount of prenatal care and the wantedness of the pregnancy are assoicated. He randomly selects 939 women who had recently given birth and asks them to disclose whether their pregnancy was intended, unintended, or mistimed. In addition, they were to disclose when they started recei

### Sales & advertising: Least squares regression line; range of coefficient of determination

Please help with the following sales and advertising question. 1. Regression analysis was applied between sales in (\$1000) and advertising(in \$100), and the following regression function was obtained: Y = 61 +4.1X Based on this regression line, if advertising is \$10,000, the point estimate for sales (in dollars) is what?

### Interpret Statistical Measures

5. The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asks the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gather

### Hypothesis tests for correlation coefficient, & slope of the least-squares regression line

Please see attached file. Hypothesis tests for the correlation coefficient and the slope of the least-squares regression line Newburg Park, Florida is a popular, beach resort town. Property values are fairly high there and, as such, are rather well studied. One topic of study has been the relationship between housing pric

### Trend lines for yearly data for advertising amounts for large toy company

Please see the attached file. Trend lines for yearly data The following time series data represent the quarterly amounts spent on advertising (in millions of dollars) by a large toy company (read across): Quarter 1 Quarter 2 Quarter 3 Quarter 4 16.3 14.6 15.8 14.3 16.8 14.1 16.0 15.2 16.4 15.4 14.2 14.6 17.4 15.6 16.6

### Interpreting the Slope of the Linear Regression Line

Interpreting the Slope of the Linear Regression Line Provide an interpretation in a single sentence that includes the following information: 1. It tells you what the variables are 2. It lets you know whether the dependent variable increases or decreases as the independent variable increases 3. It tells you how muc

### Regression Analysis to forecast point for Swanson to build out top two floors

Use regression analysis to forecast the point at which Swanson needs to "build out" the top two floors of the new building, namely, when demand will exceed 16,000 births. Since opening day in 1989 the Arnold Palmer Hospital has experienced an explosive growth in demand for its services. One of only six hospitals in the U.S.

### Descriptive Statistics to predict NFL win percent, turnovers, field goals, fumbles

Case Problem 4: Predicting Winning Percentage for the NFL The National Football League (NFL) records a variety of performance data for individuals and teams (http://www.nfl.com). Some of the year end performance data for the 2005 season appear on the data disk in the file named NFL Stats. Each row of the data set corresponds

### Regression model of 30 observations: Is the model significant?

In a regression model involving 30 observations, the following estimated regression equation was obtained: Y(hat) = 17 + 4X1 - 3X2 + 8X3 + 8X4 For this model SSR = 700 and SSE = 100. The coefficient of determination for the above model is approximately A. -0.875 B. 0.875 C. 0.125 D. 0.144 The c

### High-Low Method; Regression Analysis

Tessmer Manufacturing Company produces inventory in a highly automated assembly plant in Olathe, Kansas. The automated system is in its first year of operation and management is still unsure of the best way to estimate the overhead costs of operations for budgetary purposes. For the first six months of operations, the following

### Engineering Salaries Analysis for an MS

See attached data files. Engineering Salaries Analysis for an MS A project requires us to develop a regression model to assist us in our salary/bonus prediction based on variables represented by analyzing various factors about each engineering school. For example: (1) if a student wants to go to a specific engineeri