IBLMRS119R3 - Descriptive Statistics and Charts - Statistics Assignment Help

Assignment Task

Questions
1. Descriptive Statistics and Charts (10p)
a. Below you can find two charts that provide you the same information about Royal Dutch Shell’s revenue by region in the year 2019. Which of the two charts is a correct representation of the data and why?

b. In the following table you can find the descriptive statistics for the height distribution in meters of a cohort of cadets at a military academy. Based on the figures in the table what can you tell about the shape of the peak of the height distribution for this cohort of cadets at this military academy?

c. The table below shows you the salaries of ten American Central Executive Officers (CEO’s). The board of your company would like you to provide them with information that can help them to decide on the salary offer they will do to the newly hired CEO of your company. Name one numerical and one graphical summary measure for the extraction of information contained in the graph (2p). Explain why you would use these summary measures.

CEO                                   Company                                           Total salary
1. Brian Duperreault        American International Group Inc. $43.086.861,00
2. Thomas Wilson II         The Allstate Corp.                            $18.757.329,00
3. Sean Downes               Universal Insurance Hodlings Inc. $19.252.897,00
4. Alan Schnitzer             Travelers Cos. Inc.                            $15.233.759,00
5. Susan Griffith               Progressive Corp                             $ 9.274.439,00
6. Christopher Swift         Hartford Financial Services Group Inc. $13.115.285,00
7. Alan Colberg                 Assurant Inc.                                    $ 9.274.743,00
8. W. Robert Berkley Jr.   W. R. Berkley Corp                           $10.279.539,00
9. Carl Lindner American Financial Group Inc.                        $ 9.772.850,00
10. Dino Robusto              CNA Financial Corp.                        $10.635.781,00

2. Correlation and Regression (10p)
a. A corporation administers an aptitude test to all new sales representatives. Management is interested in the extent to which this test can predict their eventual success. For a random sample of eight sales representatives the average weekly sales (in thousands of euros) and the scores on the aptitude test (scores run from 0 (bad) to 100 (good)) are collected. The sample regression line is:

y = -11,5 + 0,402x

y = Average the average weekly sales (in thousands of euros) for the sales representatives
x = Scores on the aptitude test for the sales representatives Interpret the slope of the regression line. (5p)

b. The scatterplot below shows for 73 countries the association between the growth of Gross Domestic Product (in % on horizontal axis) and the unemployment rate (in %
on vertical axis). Based on the graph below, what can you tell about the strength and the direction of the correlation between the growth in Gross Domestic product and the unemployment rate?

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