Greece has the highest changing percentage growth i.e. 6% between the years 2000 to 2002 and also it has the smallest changing percentage growth i.e. -4.17% between the years 2002 to 2004.
The productivity and growth in UK shows a clear and concise pattern i.e. it increases from 2000 and reached to its top in the year 2004 and then started declining in a continuous manner whereas the growth of USA, Greece and Japan are little deviating throughout the decade and therefore we cannot analyze the forecasting easily.
4.B. The changes that occur after changing the axis range is that it just zoom the graph further and therefore we can see the variations more clearly which could not be seen keeping the minimum value zero.
The analysis of the BBC article are very much true and that can be seen in the year 2000 to 2002 where Greece faces the highest growth in the world i.e. 6% and also Greece has the most highly average growth rates in the world during these 10 years.
Portfolio One: Task Two
Minimum
0
Maximum
7
Range
7
Arithmetic mean
3.233333
Median
3
Mode
2
Standard deviation
2.029
Coefficient of variation
Cannot be determined as it require Two variables
Standard Deviation
The use of standard deviation in statistics is to determine the deviation of data from the mean. It is the most basic but one of the most important tools in statistics as after so many unique tools this is still used in the analysis.
Coefficient of Variation
Statistics shows the correlation between two variables and indicates the strength of the link with a criterion of relationship, called the correlation coefficient. This ratio is always denoted by a Latin letter R, can take values between -1 and +1, and if the value is closer to 1, it indicates a strong connection, and if close to 0, then the weak. If the correlation coefficient is negative, it means the presence of the opposite relation: the higher the value of one variable, the lower the value of another. The power connection is also characterized and the absolute value of the correlation coefficient.
Portfolio One: Task Three
Quarters
Sales
Estimated Sales
Average Estimates/Quarter
2008
1
121
86.397
96.9675
2
78
93.444
3
65
100.491
4
107
107.538
2009
5
150
114.585
125.1555
6
105
121.632
7
99
128.679
8
142
135.726
2010
9
188
142.773
153.3435
10
132
149.82
11
123
156.867
12
177
163.914
2011
13
211
170.961
181.5315
14
166
178.008
15
155
185.055
16
209
192.102
2012
17
199.149
209.7195
18
206.196
19
213.243
20
220.29
The following assumptions have been made while applying the time series analysis on the forecasted sales:
Normality of Distributions of Residuals.
Homogeneity of Variance and Zero Mean of Residuals.