Answer Happy

3. You will need to use the critical values of the correlation coefficient, r, table found in section 14.4 of the e-text to answer these problems. a) Is a correlation coefficient of r = 0.867 when n = 16 significant at the 5% level? Why or why not? b) Is a correlation coefficient of r=-0.209 when n = 100 significant at the 1% level? Why or why not?

n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 r = 0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.396 0.361 0.335 0.312 0.294 0.279 0.254 0.236 0.220 e = 0.01 0.999 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.505 0.463 0.430 0.402 0.378 0.361 0.330 0.305 0.286