2012年4月14日 星期六

Correlation between HSI and USD/YEN or USD/EUR or USD/HKD

Objective: To understand the correlation between HSI and USD/YEN  or  USD/EUR  or  USD/HKD by using correlation Coefficient

Samples: Market Close price from 25/01/2012 to 14/4/2012

Correlation definition: Correlation quantifies the extent to which two quantitative variables, X and Y, “go together.” When high values of Xare associated with high values of Y, a positive correlation exists. When high values of X are associated with lowvalues of Y, a negative correlation exists.

Interpretation of Correlation Coefficient: The correlation coefficient ranges from −1 to 1. A value of 1 implies that a linear equation describes the relationship between X and Y perfectly, with all data points lying on a line for which Y increases as X increases. A value of −1 implies that all data points lie on a line for which Y decreases as X increases.


Result :
Correlation (USD/YEN : HSI) = 0.815556989 = Strong Positive Correlation
Correlation (USD/EUR : HSI) = 0.283697423  = Weak Positive Correlation
Correlation (USD/HKD: HSI) = 0.392802256= Weak Positive Correlation  

Conclusion
There are strong positive correlation between USD/YEN to HSI from 25/01/2012 to 14/4/2012, while USD/HKD is weak positive correlation.

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