statistics
posted by ryee on .
calculate both the pearson and spearman correlation coefficient for the data below. state whether ther are significant? writ a brief statement to explain the results generated by each correlation.
selfesteem 10.00, 9.00,8.00,7.00,7.00,6.00,6.00,6.00,4.0,4.00.
grades 83.00,97.00,92.00,83.00,93.00,97.00,5.00,68.00,59.00,65.00

If you calculate this by hand, it might be helpful to set up a table of x values (selfesteem) and y values (grades), x^2 values, y^2 values, and xy values (x times y). Total each set of values. Once you have all the values, plug them into the formula to calculate Pearson r.
Formula is this:
r = n(Exy)  [(Ex)(Ey)]

√{[n(Ex^2)(Ex)^2][n(Ey^2)(Ey)^2]}
Note: E means to add up or total its corresponding value.
Once you have r, then you can take it from there.
I hope this will help get you started.