HI6007: The Coefficient of Correlation (r) Between Television(hours) and Overweight (KG) - Statistics Assignment Help

Assignment Task

Purpose:

This assignment aims at assessing students’ understanding of different qualitative and quantitative research methodologies and techniques. Other purposes are:

1. Explain how statistical techniques can solve business problems

2. Identify and evaluate valid statistical techniques in a given scenario to solve business problems

3. Explain and justify the results of a statistical analysis in the context of critical reasoning for a business problem solving

4. Apply statistical knowledge to summarize data graphically and statistically, either manually or via a computer package

5. Justify and interpret statistical/analytical scenarios that best fit business solution

Assignment Structure should be as the following:

This is an applied assignment. Students have to show that they understand the principles and techniques taught in this course. Therefore, students are expected to show all the workings, and all problems must be completed in the format taught in class, the lecture notes or prescribed text book. Any problems not done in the prescribed format will not be marked, regardless of the ultimate correctness of the answer.

Instructions:

• Your assignment must be submitted in WORD format only.

• When answering questions, wherever required, you should copy/cut and paste the Excel output (e.g., plots, regression output etc.) to show your working/output. Otherwise, you will not receive the allocated marks.

• You are required to keep an electronic copy of your submitted assignment to re-submit, in case the original submission is failed and/or you are asked to resubmit.

• Please check your Holmes email prior to reporting your assignment mark regularly for possible communications due to failure in your submission.

Question 1

A group of researchers conducted a research in order to assess their opinion on expected 20% increase in development tax with the expectation of commencement of a new rail road project. Each person being interviewed was asked whether they would vote for this new change or not. Possible responses were vote for, vote against, and no opinion. 295 respondents said they would vote for the law, 672 said they would vote against the law, and 51 said they had no opinion.

a. Do the responses for this question provide categorical or quantitative data? What is the scale of measurement? (2 marks)

b. Draw a suitable graph and explain whether the results indicate general support for or against increasing the development tax to commence the new rail road project?

Question 2

ABZ research consultancy firm conducted a study of how chief executive officers (CEOs) spend their day. The study found that CEOs spend on average about 18 hours per week in meetings, not including conference calls, business meals, and public events. Shown below is the time spent per week in meeting (hours) for a sample of 25 CEOs

a. Prepare a numerical summary report including the summary measures, mean, median, range, variance, standard deviation, and coefficient of variation, smallest and largest values, and the three quartiles. (2 marks)

b. Use a class width of 2 hours to prepare a frequency distribution and a percentage frequency distribution for the data. (4 marks)

c. Prepare a histogram and comment in the shape of the distribution.

Question 3 max 700 words - at least 3 references

Three group of researchers would like to seek your help to determine the methods of data collection and methods of sampling for the following statistical analysis. Propose the suitable method of data collection and method of sampling for each of the following with sufficient justification why you recommend your selection, over other possible methods.

a. Analyse the voting intention of Australian voters for upcoming election.
b. Investigation of reasons for not Big 4 banks (NAB, ANZ, CBA and WBC) passing on the full interest cuts introduced by reserve bank of Australia to its borrowers.
c. Understand the demographic profile of the community living in Hume city council, Melbourne
d. Examine opinions from adults on legalising marijuana use in Australia.
e. Estimation of the average age of children in city of Melbourne.

Question 4

A sample of 15, 10 years -old children was taken to study whether watching television reduces the amount of physical exercise, causing weight gains. The number of kilograms each child was overweight by was recorded (a negative number indicates the child is underweight). In addition, the number of hours of television viewing per week was also recorded. These data are listed in the table below

a. Use an appropriate plot to investigate the relationship between Television(hours) and Overweight (KG). Briefly explain the selection of each variable on the X and Y axes and why? (3 marks)

b. Calculate and interpret the coefficient of correlation (r) between Television(hours) and Overweight (KG). (2 marks)

c. Estimate a simple linear regression model and present the estimated linear equation. Then, interpret the coefficient estimates of the linear model. (3 marks)

d. Determine the coefficient of determination (R 2 ) and interpret it. (2 marks)

e. Test the significance of the relationship at the 5% significance level. (3 marks)

f. What is the value of the standard error of the estimate (se). Then, comment on the fitness of the linear regression model?

Academic Integrity

Holmes Institute is committed to ensuring and upholding Academic Integrity, as Academic Integrity is integral to maintaining academic quality and the reputation of Holmes’ graduates. Accordingly, all assessment tasks need to comply with academic integrity guidelines. Table 1 identifies the six categories of Academic Integrity breaches. If you have any questions about Academic Integrity issues related to your assessment tasks, please consult your lecturer or tutor for relevant referencing guidelines and support resources. Many of these resources can also be found through the Study Sills link on Blackboard.

Academic Integrity breaches are a serious offence punishable by penalties that may range from deduction of marks, failure of the assessment task or unit involved, suspension of course enrolment, or cancellation of course enrolment.

Table 1: Six categories of Academic Integrity breaches

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