Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x = 96.41, y = 99.25, r=0.877, P-value = 0.000, and y = 14.46 +0.88x, where x represents the IQ score of the twin born first. Find the best predicted value of y given that the twin born first has an IQ of 109? 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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
0312
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
0402
NOTE: To test Ho: p=0
against H₁: p0, reject Ho
if the absolute value of r is
greater than the critical
value in the table.
Transcribed Image Text:n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 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 0312 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 0402 NOTE: To test Ho: p=0 against H₁: p0, reject Ho if the absolute value of r is greater than the critical value in the table.
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield
x=96.41, y = 99.25, r=0.877, P-value = 0.000, and y = 14.46 + 0.88x, where x represents the IQ score of the
twin born first. Find the best predicted value of y given that the twin born first has an IQ of 109? 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.)
Transcribed Image Text:Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=96.41, y = 99.25, r=0.877, P-value = 0.000, and y = 14.46 + 0.88x, where x represents the IQ score of the twin born first. Find the best predicted value of y given that the twin born first has an IQ of 109? 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.)
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