Obtain a graphical representation of the relationship

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Reference no: EM13491302

Project 1

Part: Human resource managers are responsible for a variety of tasks within organisations. Personnel or human resource managers are involved with recruiting new workers, determining which applicants are most suitable to hire, and helping with various aspects of monitoring the workforce, including absenteeism and employee turnover. For many firms, employee turnover is a costly problem. Firstly, there is the cost of recruiting and attracting qualified workers. The firm must advertise vacant positions and make certain that applicants are judged properly. Second, the cost of training the new employees can be high, particularly in technical areas. Third, new employees are often not as productive and efficient as experienced employees. Consequently, it is in the interests of the firm to attract and keep the best workers. Any information that the personnel manager can obtain is likely to be useful.

File XR16-17 (available in Moodle) shows the work history of a random sample of telemarketers of a telemarketing form that have quit in the last year. This file contains information about the number of weeks the telemarketers have been on the job before quitting and the age at which each telemarketer was hired. Conduct an analysis using the data provided, and present a report on how you may assist the personnel manager in reducing the rapid turnover of the staff. (Selvanathan et al, p662)

Part D: Go to the ABS website: www.abs.gov.au, and obtain the National account data series Catalogue 5206.0 (Table 2). Find the series 2304082X, and extract at least 8 years of the most recent data. Describe the pattern of the data, and using the appropriate technique, forecast for the following four quarters.

Project 2

The Federal Government of Australia uses the cash rate to control the inflation rate in Australia. Is there statistical evidence to support such a policy?

Instructions:

• Go to either the RBA website or the ABS website to obtain the series of data that you would like to investigate.

• Collect at least 8 years of information of each series. Using relevant statistical tools, describe the key characteristics of the series and provide a brief report.

• The Australian government sets as a target an inflation rate of no more than 3% over the course of the business cycle. From the data you have collected on the inflation rate, is there statistical evidence to support such a claim.

• Using relevant statistical tools, analyse the relationship described in this project, and provide a concise report of your findings.

• Using the appropriate statistical tools, forecast the cash rate for the next four quarters outside your sample data period.

Project 3

Foreign trade is important to Australia. One of the measures of Australia's standing in the world economy is its trade balance figures. Economists in calculating trade balances will look at the relationship between exports and imports of merchandise goods. If exports exceed imports, then Australia is said to have a trade surplus. On the other, if imports exceed exports, then, Australia faces a trade deficit. And when exports equal imports, then we have a trade balance.

Go to the Australian Bureau of Statistics Website, Australian Economic Indicators, Table 53680 and obtain the monthly data for exports and imports ($millions) from 1988 - 2009.

(i) Using descriptive statistical tools you have learned in this course, write a non-technical report on monthly exports and imports for Australia over the period 1988 to 2007. The summary results will form part of the final report.

(ii) Construct frequency distribution tables for both the exports and imports data. Plot the frequency distributions on to one graph. Comment on your graphs.

(iii) Using the information that you have obtained, calculate a 95% confidence interval for the true average monthly exports for Australia. Remember to state any assumptions you have made.

(iv) The Federal Treasurer in his annual report to Parliament states that in the past decade, the average monthly imports for Australia was at least 1120 ($m). Is there statistical evidence to support the claim?

(v) It is claimed that the variability in the export data exceeds 19882400 ($m)2. Conduct a test to determine if there is evidence to support this claim. State any assumptions you have made.

Part B:

The growing interest in and use of the internet has forced many companies into considering ways to sell their products on the web. Therefore, such companies are interested in determining who is using the web. A statistics practitioner undertook a study to determine how education and internet use are connected. She took a random sample of 200 adults (aged between 20 years and older) and asked each to report the years of education they had completed and the number of hours of internet use in the previous week. The responses are recorded and stored in File XR 16-23. (Selvanathan et al p624)

(i) Obtain a graphical representation of the relationship and give a brief description of the relationship.

(ii) Estimate the simple regression line and interpret the estimated relationship.

(iii) Can the practitioner conclude that there is a linear relationship between the two variables?

(iv) Interpret the coefficient of determination and explain the difference between the coefficient of determination and the coefficient of correlation.

(v) On the basis of what the answers you have provided, evaluate the analysis you have performed.

Project 5

Part A:

Go to the website: https://unfccc.int/ghg_data/ghg_data_unfccc/time_series_annex_i/items/3814.php and obtain information about the main sources of global greenhouse gas (GHG) emissions. Use a relevant graphical technique to represent the data and provide a short description of the data.

Part B: Go to a reliable website and obtain data on the top ten polluters in the world. Obtain information about the amount of GHG emissions over the last 3 years and the percentages of global emissions. Present the data in an appropriate graphical form and provide a short report of your findings.

Part C: Is global warming real? If so, what causes it?

In the last part of the 20th century, scientists developed the theory that the planet was warming and that the primary cause was the increasing amounts of atmospheric carbon dioxide (CO2), which are the product of burning oil, natural gas and coal (fossil fuels). Although many climatologists believe in what is commonly referred to as the greenhouse effect, many others do not subscribe to this theory. There are three critical questions that need to be answered in order to resolve the issue.

1. Is the earth warming?
2. If the planet is warming, is there a human cause or is it natural fluctuation?
3. If the planet is warming, is CO2 the cause?
File CO4-01a - is a file containing the monthly temperature anomalies from 1880 - 2009 collected by the National Climate Data Center (NCDC). Temperature anomalies are calculated by taking the deviations between the latest month's temperature reading and the average for each month. A positive anomaly indicates a month where the temperature is above the average. A negative anomaly indicates a month where the temperature is less than the average.

File CO4-01b - contains the measurement of CO2 levels in the atmosphere. This data was collected from the Mauna Loa Observatory in Hawaii.

Use the information provided, and the appropriate techniques to determine if there is evidence of global warming, and if so, is CO2 the cause of it?

Part D: Files CO5 -02a lists the temperature anomalies from 1840 to 1940; CO5 -02b lists the data from 1941 to 1975; CO5 -02c lists the temperature anomalies from 1976 to 1977; and CO5 -02d lists the data from 1998 to 2009. Using these information, together with the CO2 data from Part B, report on your findings on the relationship between temperature anomalies over these period segments and CO2.

Attachment:- XR16-23.xls

Reference no: EM13491302

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