In: Statistics and Probability
Find if there is a relationship between education (in years) X and income Y.
| 
 x  | 
 4  | 
 6  | 
 8  | 
 11  | 
 12  | 
 14  | 
 16  | 
 17  | 
 20  | 
| 
 y  | 
 6000  | 
 12000  | 
 14000  | 
 10000  | 
 17000  | 
 16000  | 
 13000  | 
 16000  | 
 19000  | 
Make sure that THREE of your posts for the week are Statistical in nature AND a direct response to the problems given in the discussion
To find the relationship between x and y we need to plot a scatter-plot between variables which is plotted using the software as:

From the scatter-plot, we can say that there is an almost positive correlation around 0.70.
To find the accurate correlation we do the following tabulation as:

The correlation is calculated as:

based on the data provided the calculation is:


Now from the calculation we find that the exact correlation is 0.77 hence we can say that there is a positive correlation between the variables.