Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x= 102.13, y = 101.35, r=0.927, P-value = 0.000, and y = 2.05 + 0.97x, 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. Critical Values of the Pearson Correlation Coefficient r E Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. Critical Values of the Pearson Correlation Coefficientr a = 0.05 (Round to two decimal places as needed.) a= 0.01 NOTE: To test Ho: p=0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 102.13, y = 101.35, r= 0.927, P-value = 0.000, and y = 2.05 + 0.97x, 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.
Critical Values of the Pearson Correlation Coefficient r
The best predicted value of y is
(Round to two decimal places as needed.)
Critical Values of the Pearson Correlation Coefficient r
a = 0.05
a = 0.01
NOTE: To test Ho: p=0
Jagainst H,: p#0, reject H,
lif the absolute value of r is
greater than the critical
value in the table.
4.
0.950
0.990
0.878
0.959
6
0.811
0.917
0.754
0.875
8.
0.707
0.834
0.666
0.632
0.602
9
0.798
10
0.765
11
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
0.468
0.456
18
0.590
19
0.575
20
0.444
0.561
25
0.396
0.505
30
0.361
0.463
35
0.335
0.430
0.402
40
0.312
45
0.294
0.378
50
0.279
0.361
60
0.254
0.330
Enter your answer in the answer box and then click Check Answer.
70
0.236
0.305
?
Transcribed Image Text:Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 102.13, y = 101.35, r= 0.927, P-value = 0.000, and y = 2.05 + 0.97x, 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. Critical Values of the Pearson Correlation Coefficient r The best predicted value of y is (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r a = 0.05 a = 0.01 NOTE: To test Ho: p=0 Jagainst H,: p#0, reject H, lif the absolute value of r is greater than the critical value in the table. 4. 0.950 0.990 0.878 0.959 6 0.811 0.917 0.754 0.875 8. 0.707 0.834 0.666 0.632 0.602 9 0.798 10 0.765 11 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 0.468 0.456 18 0.590 19 0.575 20 0.444 0.561 25 0.396 0.505 30 0.361 0.463 35 0.335 0.430 0.402 40 0.312 45 0.294 0.378 50 0.279 0.361 60 0.254 0.330 Enter your answer in the answer box and then click Check Answer. 70 0.236 0.305 ?
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