Two bags each contain tickets numbered 1 to 10. John draws a ticket from each bag five times, replacing the tickets after each draw. He records the number on the ticket for each draw from both the bags: Draw Bag 1 Bag 2
Draw 1 2 4
Draw 2 4 5
Draw 3 1 3
Draw 4 6 4
Draw 5 7 9
For the the first bag, the mean is 4 and the standard deviation is 2.5.
For the second bag, the mean is 5 and the standard deviation is 2.3.
Using the formula below or Excel, find the correlation coefficient, r, for this set of tickets John drew. Answer choices are rounded to the nearest hundredth.
r equals fraction numerator 1 over denominator n minus 1 end fraction sum from blank to blank of open parentheses fraction numerator x minus x with bar on top over denominator s subscript x end fraction close parentheses open parentheses fraction numerator y minus y with bar on top over denominator s subscript y end fraction close parentheses
a. 0.56
b. 0.70
c. 0.75
d. 0.50