Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=101.13, y=100.45, r=0.890, P-value=0.000, and y=−10.24+1.09x, where x represents the IQ score of the twin born second. Find the best predicted value of y given that the twin born second has an IQ of 101? Use a significance level of 0.05. a. The best predicted value of y is (Round to two decimal places as needed.)
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=101.13, y=100.45, r=0.890, P-value=0.000, and y=−10.24+1.09x, where x represents the IQ score of the twin born second. Find the best predicted value of y given that the twin born second has an IQ of 101? Use a significance level of 0.05. a. The best predicted value of y is (Round to two decimal places as needed.)
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Author:Amos Gilat
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Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=101.13, y=100.45, r=0.890, P-value=0.000, and y=−10.24+1.09x, where x represents the IQ score of the twin born second. Find the best predicted value of y given that the twin born second has an IQ of 101? Use a significance level of 0.05.
a. The best predicted value of y is
(Round to two decimal places as needed.)

Transcribed Image Text:545
n
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16
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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
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
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.
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