Homework 10
Critical Values
| Critical Values for the Correlation Coefficient | ||
| n | alpha = .05 | alpha = .01 |
| 4 | 0.95 | 0.99 |
| 5 | 0.878 | 0.959 |
| 6 | 0.811 | 0.917 |
| 7 | 0.754 | 0.875 |
| 8 | 0.707 | 0.834 |
| 9 | 0.666 | 0.798 |
| 10 | 0.632 | 0.765 |
| 11 | 0.602 | 0.735 |
| 12 | 0.576 | 0.708 |
| 13 | 0.553 | 0.684 |
| 14 | 0.532 | 0.661 |
| 15 | 0.514 | 0.641 |
| 16 | 0.497 | 0.623 |
| 17 | 0.482 | 0.606 |
| 18 | 0.468 | 0.59 |
| 19 | 0.456 | 0.575 |
| 20 | 0.444 | 0.561 |
| 25 | 0.396 | 0.505 |
| 30 | 0.361 | 0.463 |
| 35 | 0.335 | 0.43 |
| 40 | 0.312 | 0.402 |
| 45 | 0.294 | 0.378 |
| 50 | 0.279 | 0.361 |
| 60 | 0.254 | 0.33 |
| 70 | 0.236 | 0.305 |
| 80 | 0.22 | 0.286 |
| 90 | 0.207 | 0.269 |
| 100 | 0.196 | 0.256 |
A
| x | y |
| 10 | 11.93 |
| 3 | 6.3 |
| 2 | 12.93 |
| 2 | 12.85 |
| 10 | 6.74 |
| 3 | 12.7 |
| 2 | 7.2 |
| 10 | 9.61 |
| 9 | 8.21 |
| 7 | 11.19 |
| 5 | 6.35 |
B
| x | y |
| 14 | 9.92 |
| 3 | 13.91 |
| 14 | 11.34 |
| 4 | 7.73 |
| 7 | 12.86 |
| 6 | 9.39 |
| 13 | 9.72 |
| 10 | 7.19 |
| 8 | 12.11 |
| 9 | 7.38 |
| 5 | 10.18 |
C
| x | y |
| 1 | 13.64 |
| 6 | 6.16 |
| 7 | 12.18 |
| 13 | 12.91 |
| 12 | 9.1 |
| 11 | 13.36 |
| 7 | 6.44 |
| 10 | 6.07 |
| 9 | 9.09 |
| 10 | 9.57 |
| 12 | 8.37 |
D
| x | y |
| 11 | 9.58 |
| 5 | 6.47 |
| 14 | 8.75 |
| 12 | 6.1 |
| 10 | 9.32 |
| 4 | 8.74 |
| 12 | 12.2 |
| 6 | 13.61 |
| 4 | 14.04 |
| 9 | 12.34 |
| 13 | 11.76 |
E
| x | y |
| 1 | 6.93 |
| 2 | 7.6 |
| 8 | 12.87 |
| 12 | 7.97 |
| 14 | 10.1 |
| 1 | 6.3 |
| 10 | 6.29 |
| 4 | 5.89 |
| 15 | 5.25 |
| 9 | 6.27 |
| 13 | 8.64 |
F
| x | y |
| 2 | 6.26 |
| 1 | 8.36 |
| 12 | 9.4 |
| 7 | 11.43 |
| 8 | 6.85 |
| 1 | 12.11 |
| 6 | 12.17 |
| 1 | 12.97 |
| 5 | 9.11 |
| 7 | 5.21 |
| 3 | 12.22 |
G
| x | y |
| 4 | 13.09 |
| 3 | 6.56 |
| 1 | 12.93 |
| 3 | 7.17 |
| 9 | 13.91 |
| 14 | 13.19 |
| 10 | 6.33 |
| 13 | 5.18 |
| 12 | 5.95 |
| 2 | 6.53 |
| 1 | 9.65 |
H
| x | y |
| 7 | 5.19 |
| 11 | 10.23 |
| 7 | 8.55 |
| 9 | 7.5 |
| 5 | 5.63 |
| 13 | 10.49 |
| 6 | 12.62 |
| 9 | 5.43 |
| 6 | 12.47 |
| 7 | 11.89 |
| 13 | 13.87 |
I
| x | y |
| 6 | 11.75 |
| 14 | 9.51 |
| 10 | 9.82 |
| 9 | 13.9 |
| 3 | 10.54 |
| 1 | 9.25 |
| 8 | 10.66 |
| 7 | 10.52 |
| 5 | 14.8 |
| 12 | 10.06 |
| 3 | 9.61 |
J
| x | y |
| 1 | 14.95 |
| 2 | 6.23 |
| 4 | 5.25 |
| 3 | 14.17 |
| 9 | 7.35 |
| 2 | 10.2 |
| 10 | 8.97 |
| 8 | 9.4 |
| 3 | 14.38 |
| 12 | 13.02 |
| 2 | 9 |
K
| x | y |
| 12 | 11.71 |
| 4 | 14.38 |
| 11 | 8.77 |
| 13 | 7.16 |
| 5 | 12.73 |
| 7 | 8.85 |
| 14 | 14.02 |
| 7 | 6.28 |
| 5 | 9.14 |
| 4 | 14.01 |
| 12 | 13.31 |
L
| x | y |
| 4 | 5.39 |
| 8 | 10.98 |
| 12 | 14.11 |
| 2 | 11.9 |
| 12 | 5.1 |
| 14 | 13.49 |
| 12 | 8.63 |
| 0 | 11.44 |
| 2 | 9.94 |
| 1 | 5.6 |
| 14 | 10.66 |
M
| x | y |
| 1 | 9.95 |
| 4 | 6.34 |
| 4 | 9.28 |
| 7 | 6.17 |
| 14 | 14.05 |
| 10 | 13.49 |
| 10 | 12.52 |
| 9 | 7.17 |
| 4 | 13.17 |
| 12 | 7.59 |
| 12 | 12.18 |
N
| x | y |
| 11 | 12.8 |
| 1 | 11.46 |
| 11 | 9.74 |
| 14 | 14.27 |
| 14 | 5.01 |
| 3 | 12.7 |
| 14 | 14.72 |
| 4 | 13.49 |
| 9 | 13.58 |
| 10 | 8.65 |
| 2 | 14.31 |
O
| x | y |
| 7 | 11.12 |
| 2 | 12.15 |
| 11 | 14.14 |
| 13 | 8.34 |
| 3 | 10.6 |
| 13 | 14.77 |
| 2 | 12.14 |
| 6 | 14.77 |
| 7 | 6.6 |
| 11 | 6.05 |
| 5 | 11.45 |
P
| x | y |
| 3 | 14.8 |
| 14 | 14.98 |
| 6 | 14.14 |
| 1 | 5.16 |
| 2 | 14.57 |
| 8 | 10.72 |
| 13 | 8.54 |
| 11 | 5.47 |
| 5 | 14.94 |
| 12 | 6.66 |
| 11 | 13.64 |
Q
| x | y |
| 5 | 10.57 |
| 6 | 6.23 |
| 15 | 13.08 |
| 6 | 8.99 |
| 12 | 9.94 |
| 4 | 10.06 |
| 4 | 12.44 |
| 14 | 6.45 |
| 2 | 14.84 |
| 7 | 10.09 |
| 4 | 7.77 |
R
| x | y |
| 1 | 12.31 |
| 14 | 11.34 |
| 9 | 14.23 |
| 9 | 11.67 |
| 14 | 7.51 |
| 11 | 14.77 |
| 11 | 9.92 |
| 6 | 11.43 |
| 2 | 7.51 |
| 5 | 5.58 |
| 13 | 13.8 |
S
| x | y |
| 14 | 9.73 |
| 11 | 13.55 |
| 7 | 5.6 |
| 1 | 13.89 |
| 1 | 10.64 |
| 15 | 13.73 |
| 9 | 6.69 |
| 13 | 5.99 |
| 5 | 6.05 |
| 5 | 12.51 |
| 13 | 7 |
T
| x | y |
| 14 | 9.48 |
| 1 | 13.79 |
| 7 | 10.14 |
| 9 | 14.78 |
| 3 | 6.64 |
| 7 | 12.96 |
| 4 | 8.45 |
| 10 | 8.17 |
| 11 | 9.82 |
| 6 | 12.43 |
| 12 | 13.49 |
U
| x | y |
| 5 | 9.08 |
| 1 | 5.87 |
| 10 | 7.91 |
| 14 | 14.93 |
| 11 | 9.39 |
| 11 | 10.14 |
| 13 | 12.56 |
| 1 | 11.55 |
| 8 | 14.02 |
| 8 | 14.74 |
| 9 | 11 |
V
| x | y |
| 11 | 13.43 |
| 14 | 14.77 |
| 11 | 9.55 |
| 15 | 12.31 |
| 5 | 7.67 |
| 12 | 8.48 |
| 13 | 7.82 |
| 2 | 13.11 |
| 5 | 7.82 |
| 3 | 12.53 |
| 7 | 8.31 |
W
| x | y |
| 4 | 7.89 |
| 6 | 12.22 |
| 6 | 12.92 |
| 3 | 9.32 |
| 5 | 7.45 |
| 8 | 9.74 |
| 5 | 14.15 |
| 11 | 8.09 |
| 10 | 5.91 |
| 1 | 14.84 |
| 13 | 5.29 |
X
| x | y |
| 9 | 7.81 |
| 13 | 13.62 |
| 7 | 12.34 |
| 7 | 7.75 |
| 9 | 14.86 |
| 13 | 14.28 |
| 12 | 8.05 |
| 1 | 5.2 |
| 8 | 8.89 |
| 14 | 10.62 |
| 13 | 12.34 |
Y
| x | y |
| 12 | 8.08 |
| 15 | 9.34 |
| 6 | 11.86 |
| 15 | 12.17 |
| 9 | 8.49 |
| 14 | 14.59 |
| 8 | 5.74 |
| 15 | 6.71 |
| 3 | 14.2 |
| 13 | 12.91 |
| 5 | 9.87 |
Z
| x | y |
| 6 | 12.28 |
| 1 | 14.55 |
| 14 | 8.78 |
| 4 | 6.27 |
| 3 | 7.67 |
| 2 | 5.15 |
| 2 | 14.73 |
| 9 | 11.07 |
| 3 | 5.6 |
| 6 | 6.4 |
| 11 | 7.83 |