Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield (bar x) x=99.3, (bar y) y=99.5, r=0.943, P-value=0.000, and (^ over y) y=−5.29+1.06x, where x represents the IQ score of the younger child. Find the best-predicted value of (^ over y) y given that the younger child has an IQ of108? Use a significance level of 0.05. The critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficient r n α=0.05 α=0.01 NOTE: To test H0: ρ=0 against H1: ρ≠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 α=0.05 α=0.01 The best-predicted value of (^ over y) y is ______. (Round to two decimal places as needed.)
Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield (bar x) x=99.3, (bar y) y=99.5, r=0.943, P-value=0.000, and (^ over y) y=−5.29+1.06x, where x represents the IQ score of the younger child. Find the best-predicted value of (^ over y) y given that the younger child has an IQ of108? Use a significance level of 0.05. The critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficient r n α=0.05 α=0.01 NOTE: To test H0: ρ=0 against H1: ρ≠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 α=0.05 α=0.01 The best-predicted value of (^ over y) y is ______. (Round to two decimal places as needed.)
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Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield (bar x) x=99.3, (bar y) y=99.5, r=0.943, P-value=0.000, and
Use a significance level of 0.05.
(^ over y) y=−5.29+1.06x, where x represents the IQ score of the younger child.
Find the best-predicted value of (^ over y) y given that the younger child has an IQ of108?Use a significance level of 0.05.
The critical values of the Pearson correlation coefficient r.
Critical Values of the Pearson Correlation Coefficient r
|
n
|
α=0.05
|
α=0.01
|
NOTE: To test H0: ρ=0 against H1: ρ≠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
|
α=0.05
|
α=0.01
|
The best-predicted value of (^ over y) y is ______.
(Round to two decimal places as needed.)
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