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Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=97.43, y=96.8, r=0.862, P-value=0.000, and y = 0.13 +0.99x, 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 110? 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.) ACCE

Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=97.43, y=96.8, r=0.862, P-value=0.000, and y = 0.13 +0.99x, 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 110? 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.) ACCE

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 t twin born second has an IQ of 110? Use a significance level of 0.05 Click the icon to view the critical values of the Pearson correlati The best predicted value of y 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 =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 x=0.01 NOTE: To test H: p=0 against H₁: p#0, reject H, if the absolute value of ris greater than the critical value in the table. - x x represents the IQ score of the twin bom second. Find the best predicted value of y given that the
Transcribed Image Text:Suppose IQ scores were obtained for 20 randomly selected sets of t twin born second has an IQ of 110? Use a significance level of 0.05 Click the icon to view the critical values of the Pearson correlati The best predicted value of y 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 =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 x=0.01 NOTE: To test H: p=0 against H₁: p#0, reject H, if the absolute value of ris greater than the critical value in the table. - x x represents the IQ score of the twin bom second. Find the best predicted value of y given that the
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=97.43, y = 96.8, r=0.862, p-value=0.000, and y = 0.13 +0.99x, where x represents the IQ score of the twin bom second. Find the best predicted value of y given that the twin born second has an IQ of 110? 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 y 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=97.43, y = 96.8, r=0.862, p-value=0.000, and y = 0.13 +0.99x, where x represents the IQ score of the twin bom second. Find the best predicted value of y given that the twin born second has an IQ of 110? 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 y is (Round to two decimal places as needed.)
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