Statistics - Course Work 2



Section 13

i.Examining the distribution3

Histogram of HPI3

Histogram of HDI4

ii.Descriptive statistics4

iv.Cumulative frequency distribution Curve5

v.Scatter diagram of HPI and HDI6

Section 28

i.Scatter diagram of GDP and Ecological Footprint8

ii.Analysis of scatter plot8

iii.Features of Scatter plot8

iv.Interpretation of best fit line8

v.Apparent outliers9

Section 310

i.Time series plot10

ii.Features of the time series plot10

iii.Time series analysis10

iv.Projections for 201310

Statistics - Course Work 2

Section 1

Examining the distribution

Class boundaries

HPI Index

20 - 30

16

31 - 40

52

41 - 50

50

51 - 60

32

> 60

1

Class boundaries

HDI Index

0.1 - 0.3

11

0.4 - 0.6

66

0.7 - 0.9

98

> 0.9

12

Histogram of HPI

From the above histogram we can determine that the distribution of the HPI index is normally distributed because the data almost lies within the 95% confidence interval. The middle values are fairly dense in this data which is the most important property of a normally distributed data.

Histogram of HDI

The histogram analysis of HDI index also shows the data is normally distributed with majority of the values lies in the center of the distribution. Further, it also follows a 95% confidence interval.

Descriptive statistics

Useful statistics 

HPI

HDI

Mean

42.238493

0.726799

Median

41.9798119

0.729218

Standard Error

0.74149381

0.009825

Standard Deviation

9.11162852

0.120729

The mean statistics obtained from the above analysis shows for HDI that on average, the people in the whole world are 72.6% developed. Though some countries may be highly developed like USA and Australia but the overall mean would certainly be low because less developed countries are included in HDI analysis. Similarly, an average of a rank 42.23 has been assigned to the world's happiness which includes life expectancy etc. One thing should be noted in HPI that smaller the index for HPI, higher the happiness measure of the respective country.

The measure of dispersion i.e. standard deviation is also fairly significant i.e. 0.12 deviation is observed from the mean 0.726 which shows that majority of the countries have their HDI around 0.6 - 0.85. Cumulative frequency distribution Curve

From the above cumulative frequency curves, it ...