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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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.)
545
n
6
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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.
Transcribed Image Text:545 n 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 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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