Reference no: EM132320552
Statistics and Research Methods for Business Decision Making Assignment 
Purpose of the assessment  Students are required to show the understanding of the principles and techniques of business research and statistical analysis taught in the course.
Assignment Specifications 
Purpose: This assignment aims at Understand various qualitative and quantitative research methodologies and techniques, and other general 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 fits business solution.
Please read below information carefully and respond all questions listed.
Question 1  Australian exports (goods and services) along with its top 8 export markets in 200405 and 201415 are shown in the table stored in file EXPORTS.XLSX (in the course website). Using this data, answer the questions below.
(a) Use an appropriate graphical technique to compare the value of Australian exports (in A$bn) in 200405 and 201415, broken down by country of export destination.
(b) Use an appropriate graphical technique to compare the percentage value of Australian exports (in %) in 200405 and 201415, broken down by country of export destination.
(c) Comment your observations in parts (a) and (b).
Question 2  The following data are the 40 days umbrella sales from a store.
63

74

42

65

51

54

36

56

68

57

62

64

76

67

79

61

81

77

59

38

84

68

71

94

71

86

69

75

91

55

48

82

83

54

79

62

68

58

41

47

a. Construct a frequency distribution and a relative frequency distribution for the data.
b. Construct a cumulative frequency distribution and a cumulative relative frequency distribution for the data.
c. Plot a relative frequency histogram for the data.
d. Construct an ogive for the data.
e. What proportion of the grades is less than 60?
f. What proportion of the grades is more than 70?
Use following class intervals to answer the above questions
Classes

Frequency

Relative Frequency

Cumulative Frequency

Cumulative Relative Frequency

30  40





40  50





50  60





60  70





70  80





80  90





90  100





Question 3  Assume you are a research analyst in an economic consultancy firm. Your team leader has given you a research task to investigate whether the per capita retail turnover in Australia is a good predictor of the final consumption expenditure of the country.
Relevant Variables: FINAL CONSUMPTION EXPENDITURE: (Trend) in $ Millions;  quarterly data from September 1983 to March 2016.
RETAIL TURNOVER PER CAPITA  (Trend) Total (State) in $; quarterly data from September 1983 to March 2016.
[Quarterly time series data (for the period September 1983 to March 2016) are from the Australian Bureau of Statistics (ABS)]
The data are stored in the file named "ASSIGNMENTDATA.XLSX" in the course website. Using EXCEL, answer below questions:
a. Using an appropriate graphical descriptive measure (relevant for time series data) describe the two variables.
b. Use an appropriate plot to investigate the relationship between FINAL CONSUMPTION EXPENDITURE and RETAIL TURNOVER PER CAPITA. Briefly explain the selection of each variable on the X and Y axes and why?
c. Prepare a numerical summary report about the data on the two variables by including the summary measures, mean, median, range, variance, standard deviation, and coefficient of variation, smallest and largest values, and the three quartiles, for each variable.
d. Calculate the coefficient of correlation (r) between FINAL CONSUMPTION EXPENDITURE and RETAIL TURNOVER PER CAPITA. Then, interpret it.
e. Estimate a simple linear regression model and present the estimated linear equation. Then, interpret the coefficient estimates of the linear model.
f. Determine the coefficient of determination R^{2} and interpret it.
g. Test whether FINAL CONSUMPTION EXPENDITURE positively and significantly increases with RETAIL TURNOVER PER CAPITA at the 5% significance level.
h. What is the value of the standard error of the estimate (se). Then, comment on the fitness of the linear regression model?
Attachment: Assignment Files.rar