Statistics Coursework Example | Topics and Well Written Essays - 750 words - 2

Statistics - Coursework Example The mean, median and interquartile range for the HPI are 42.238, 41.980 and 12.849 (Q1 = 35.841, Q3 = 48.690 respectively. Both the mean and median values for the HPI are very close to each other and the median value of 41.980 is approximately in the middle of first and third quartiles. This indicates that the distribution of HPI is symmetric (normal), which is also indicated by the histogram of the HPI. The mean, median and interquartile range for the HDI are 0.663, 0.698 and 0.266 (Q1 = 0.522, Q3 = 0.788 respectively. The mean value of HDI is less than the median value and the median value is near to the third quartile as compared to the first quartile. This indicates that the distribution of HDI is left (negatively) skewed, which is also indicated by the histogram of the HPI. Figure 3 shows a scatter diagram depicting the relationship between the two indexes. A positive linear relationship between the two indexes is apparent from the scatter diagram. This means that as the HPI of a country increases its HDI also increases and vice-versa. The value of the product moment correlation coefficient between the HDI and HPI is 0.3109 indicating weak positive linear relationship between the HDI and HPI. This agrees with the statement that I said in earlier in part iii. Figure 4 shows a scatter diagram depicting the relationship between the Ecological Footprint and GDP per capita. A very strong positive linear relationship between the two variables is apparent from the scatter diagram. Since the value of the slope coefficient 0.00012 is different from the zero, this means that there is a relationship between the Ecological Footprint and GDP per capita and the Ecological Footprint can be predicted using the GDP per capita. The slope coefficient value of 0.00012 indicates that each additional $1000 increase in GDP per capita increases the Ecological footprint by about 0.12 global hectares per capita