Question

Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x? = 102.36, ?? = 102.85, r = 0.852, P-value = 0.000, and ? = 0.8 + 1x, where x represents the IQ score of the twin born second. Find the best predicted value of ? given that the twin born second 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 ? is (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r Critical Values of the Pearson Correlation Coefficient r n ?? = 0.05 ?? = 0.01 NOTE: To test H?: ? = 0 4 0.950 0.990 against H?: ? ? 0, reject H? 5 0.878 0.959 if the absolute value of r is 6 0.811 0.917 greater than the critical 7 0.754 0.875 value in the table. 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 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 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 25 0.396 0.505 30 0.361 0.463 35 0.335 0.430 40 0.312 0.402 45 0.294 0.378 50 0.279 0.361 60 0.254 0.330 70 0.236 0.305 80 0.220 0.286 90 0.207 0.269 100 0.196 0.256 n ?? = 0.05 ?? = 0.01

          Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x? = 102.36, ?? = 102.85, r = 0.852, P-value = 0.000, and ? = 0.8 + 1x, where x represents the IQ score of the twin born second. Find the best predicted value of ? given that the twin born second 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 ? is
(Round to two decimal places as needed.)
Critical Values of the Pearson Correlation Coefficient r
Critical Values of the Pearson Correlation Coefficient r
n ?? = 0.05 ?? = 0.01 NOTE: To test H?: ? = 0
4 0.950 0.990 against H?: ? ? 0, reject H?
5 0.878 0.959 if the absolute value of r is
6 0.811 0.917 greater than the critical
7 0.754 0.875 value in the table.
8 0.707 0.834
9 0.666 0.798
10 0.632 0.765
11 0.602 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
18 0.468 0.590
19 0.456 0.575
20 0.444 0.561
25 0.396 0.505
30 0.361 0.463
35 0.335 0.430
40 0.312 0.402
45 0.294 0.378
50 0.279 0.361
60 0.254 0.330
70 0.236 0.305
80 0.220 0.286
90 0.207 0.269
100 0.196 0.256
n ?? = 0.05 ?? = 0.01

Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x? = 102.36, ?? = 102.85, r = 0.852, P-value = 0.000, and ? = 0.8 + 1x, where x represents the IQ score of the twin born second. Find the best predicted value of ? given that the twin born second 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 ? is
(Round to two decimal places as needed.)
Critical Values of the Pearson Correlation Coefficient r
Critical Values of the Pearson Correlation Coefficient r
n ?? = 0.05 ?? = 0.01 NOTE: To test H?: ? = 0
4 0.950 0.990 against H?: ? ? 0, reject H?
5 0.878 0.959 if the absolute value of r is
6 0.811 0.917 greater than the critical
7 0.754 0.875 value in the table.
8 0.707 0.834
9 0.666 0.798
10 0.632 0.765
11 0.602 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
18 0.468 0.590
19 0.456 0.575
20 0.444 0.561
25 0.396 0.505
30 0.361 0.463
35 0.335 0.430
40 0.312 0.402
45 0.294 0.378
50 0.279 0.361
60 0.254 0.330
70 0.236 0.305
80 0.220 0.286
90 0.207 0.269
100 0.196 0.256
n ?? = 0.05 ?? = 0.01

Added by Virginia C.

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