Question

Using the data below find the linear correlation coefficient.

X          y       xy       x²          y²
3          4       12      9             16
4          6       24      16           36
5          7       35      25           49
7          12     84      49         144
8          14     112    64         196
27        43     267    163     441

Answer 1

	X	Y	XY	X²	Y²
total sum	27.000	43.000	267.000	163	441

sample size ,   n =   5      
here, x̅ =Σx/n =   5.4000   ,   ȳ = Σy/n =   8.6
              
SSxx =    Σx² - (Σx)²/n =   17.200      
SSxy=   Σxy - (Σx*Σy)/n =   34.800      
SSyy =    Σy²-(Σy)²/n =   71.200      

correlation coefficient ,    r = Sxy/√(Sx.Sy) =   0.9944