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What is the value of the standard error of the estimate
Course:- Applied Statistics
Reference No.:- EM132369422




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Purpose of the assessment (with ULO Mapping)

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

Question 1

The planet may be threatened by climate change due to unsustainable activities, possibly caused by burning fossil fuels (petroleum, natural gas and coal) that produce carbon dioxide (CO2). The table stored in file CO2 EMISSIONS.XLSX (in the course website) lists the top 15 producers of CO2 (millions of metric tonnes) from fossil fuels in 2009 and 2013. Using this data, answer the questions below.

(a) Use an appropriate graphical technique to compare the amount of CO2 emissions (in millions of metric tonnes) in 2009 and 2013, broken down by the producer countries.

(b) Use an appropriate graphical technique to compare the percentage value of the amount of CO2 emissions (in %) in 2009 and 2013, broken down by the producer countries.

(c) Comment your observations in parts (a) and (b).

Question 2.

The amount of time (in seconds) needed for assembly-line workers to complete a weld at a car assembly plant in Adelaide was recorded for 40 workers.

59

60

81

74

68

66

49

76

63

67

69

35

65

61

43

72

83

65

69

70

54

61

38

92

72

74

55

63

69

73

75

47

60

62

68

51

71

73

68

99

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 data is less than 65?
f. What proportion of the data is more than 75? Use following class intervals to answer the above questions

Classes

Frequency

Relative Frequency

Cumulative Frequency

Cumulative

Relative Frequency

35 - 45

 

 

 

 

45 - 55

 

 

 

 

55 - 65

 

 

 

 

65 - 75

 

 

 

 

75 - 85

 

 

 

 

85 - 95

 

 

 

 

95 - 105

 

 

 

 

Question 3.

Because inflation reduces the purchasing power of the dollar, investors seek investments that will provide protection against inflation; that is, investments that will provide higher returns when inflation is higher. It is frequently stated that ordinary shares provide just such a hedge against inflation. The annual Australian inflation rate (as measured by percentage changes in the consumer price index) and the annual All-Ordinaries Index from 1995 to 2015 are stored in file INFLATION.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 RATE OF INFLATION and ALL- ORDINARIES INDEX. 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 RATE OF INFLATION and ALL-ORDINARIES INDEX. 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 R2 and interpret it.

g. Test the significance of the relationship 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:- INFLATION.zip




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  1. user image
    len2369422

    Excellent Very Good CO2 Emission analysis Demonstration of outstanding knowledge on descriptive techniques Demonstration of very good knowledge on descriptive techniques Analysis of time of assembly Demonstration of outstanding knowledge on descriptive measures Demonstration of very good knowledge on descriptive measures Estimation and testing significance level Demonstration of outstanding knowledge on correlation and regression analysis Demonstration of very good knowledge on correlation and regression analysis

  2. user image
    len2369422

    3. Estimation and testing significance level: a) Descriptive measure b) Scatter plot c) Numerical summary report d) Correlation coefficient e) Estimating regression line f) Estimating coefficient of determination g) Testing significance h) Standard error 18 marks 1 mark 2 marks 3 marks 2 marks 4 marks 2 marks 3 marks 1 mark TOTAL Weight 30%

  3. user image
    len2369422

    Marking criteria Marking criteria Weighting 1. CO2 Emission analysis: a) Appropriate graphical technique for comparing the values b) Appropriate graphical technique for comparing the percentage values c) Comparing a and b 4 marks 1 mark 1 mark 2 marks 2. Analysis of time of assembly: a) Appropriate frequency distribution b) Appropriate cumulative frequency distribution c) Histogram d) Ogive e) and f) Proportion 8 marks 2 marks 2 marks 1 mark 1 mark 2 marks

  4. user image
    len2369422

    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. Submit your assignment through Safe-Assign in the course website, under the Assignments and due dates, Assignment Final Submission before the due date. 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.



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