Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)

Question

x y

3 15.93

4 15.94

5 17.45

6 19.56

7 19.67

8 20.98

Answer 1

correlation coefficient = the product of the sum of differences of x and the mean x times the sum of differences of y values and the mean y, divided by the square root of (the product of the sum of same x differences squared times the sum of y differences squared)

do some long tedious calculations

or use an on line correlation coefficient calculator to get .9704

closer to 1, the stronger the positive correlation

round to 3 decimals is .970