In Problems 7-18, a sample of paired data gives a linear correlation coefficient \(r\). In each case, use Table 14.10 to determine whether there is a significant linear correlation.

Table 14.10

\(n=40, r=0.416 ; 5 \%\) level

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n a = 0.05 0.950 0.878 4 5 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 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 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 0.294 0.279 a = 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