Suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r, P-value0.000, and , where x represents the IQ score of the . Find the best predicted value of given that the has an IQ of ? Use a significance level of 0.05. Critical Values of the Pearson Correlation Coefficient r
n
0.05
0.01
NOTE: To test H0: 0 against H1: 0, reject H0 if the absolute value of r is greater than the critical value in the table.
4
0.950
0.990
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
0.590
19
0.456
0.575
20
0.444
0.561
25
0.396
0.505
30
0.361
0.463
35
0.335
0.430
40
0.312
0.402
45
0.294
0.378
50
0.279
0.361
60
0.254
0.330
70
0.236
0.305
80
0.220
0.286
90
0.207
0.269
100
0.196
0.256
n
0.05
0.01 Click the icon to view the critical values of the Pearson correlation coefficient r.
The best predicted value of is
nothing.
(Round to two decimal places as needed.)