Using SAS and JMP to check if x and y ~ N Normal option generates Shapiro Wilks Stats
Double click here
Shapiro Wilks Stat for x, price charged
Look at p value. If p value >5% then likely that data follows a normal distribution.
Do the same for y (here quantity sold, SAS variable name Q)
Double click here
Again compare reported p value to alpha of 5%. If greater than 5% cannot reject null that Q “follows a normal distribution”.
In JMP Open table
I have exported SAS workfile to JMP
Click analyze
Select distribution
Highlight P and Q (the two variables being correlated in this problem)
Finish selection by clicking on columns box
Stack diagrams horizontally
Go to fit distribution Select normal
Right click on fitted normal
Select goodness of fit
Will find same p values found on SAS