Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 99.55, y = 97.95, r=0.945, P-value=0.000, and y=-20.99 +1.19x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 103? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of ŷ is. (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r n 4 5 7 6 = 7 7 8 ♡ 9 10 11 12 13 14 15 16 17 18 19 20 25 25 30 50 35 35 40 40 45 45 50 60 70 70 80 90 100 n Critical Values of the Pearson Correlation Coefficient r -0.05 0.950 0.878 0.811 0.911 0.754 0.707 0:10 0.666 0.632 0.632 0.602 0.00€ 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 0.254 0.236 0.220 0.207 0.196 -0.05 Print -0.01 0.990 0.959 0.917 0.875 0.000 0.834 0.094 0.798 0.190 0.765 0.769 0.735 0.708 0.684 0.00 0.661 0.00 0.641 0.623 0.606 0.590 0.575 0.561 0.505 0.463 0.430 0.490 0.402 0.402 0.378 0.361 0.301 0.330 0.330 0.305 0.286 0.269 0.256 -0.01 Done NOTE: To test Ho: p=0 against H,: p#0, reject Ho if the absolute value of ris greater than the critical value in the table. - X

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Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 99.55, y = 97.95, r=0.945, P-value = 0.000, and y=-20.99+ 1.19x, where x represents the IQ score of
the older child. Find the best predicted value of y given that the older child has an IQ of 103? Use a significance level of 0.05.
Click the icon to view the critical values of the Pearson correlation coefficient r.
The best predicted value of ŷ is.
(Round to two decimal places as needed.)
Critical Values of the Pearson Correlation Coefficient r
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
90
100
n
Critical Values of the Pearson Correlation Coefficient r
α = 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
0.207
0.196
α = 0.05
Print
α = 0.01
0.990
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
0.269
0.256
α = 0.01
Done
NOTE: To test Ho: p=0
against H₁: p#0, reject Ho
if the absolute value of r is
greater than the critical
value in the table.
- X
Transcribed Image Text:Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 99.55, y = 97.95, r=0.945, P-value = 0.000, and y=-20.99+ 1.19x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 103? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of ŷ is. (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r 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 90 100 n Critical Values of the Pearson Correlation Coefficient r α = 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 0.207 0.196 α = 0.05 Print α = 0.01 0.990 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 0.269 0.256 α = 0.01 Done NOTE: To test Ho: p=0 against H₁: p#0, reject Ho if the absolute value of r is greater than the critical value in the table. - X
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