Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x= 98.14, y = 98.05, r=0.819, P-value = 0.000, and y = 16.2 + 0.83x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 97? Use a significance level of 0.05. E Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y isn. (Round to two decimal places as needed.)

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Critical Values of the Pearson Correlation Coefficient r
NOTE: To test Ho: p=0
pgainst H,: p#0, reject H,
f the absolute value of r is
greater than the critical
value in the table.
a = 0.05
(= 0.01
4
0.950
0.990
0.959
5
0.878
6
0.811
0.917
7
0.754
0.875
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
0.514
0.661
15
0.641
16
0.497
0.623
17
0.482
0.468
0.606
18
0.590
19
0.456
0.575
20
0.444
0.396
0.561
0.505
25
30
0.361
0.463
35
40
0.335
0.430
0.402
0.312
45
0.294
0.378
50
0.279
0.361
60
70
0.254
0.236
0.330
0.305
80
0.220
0.286
0.269
90
100
0.207
0.196
0.256
a= 0.05
x= 0.01
n
Transcribed Image Text:Critical Values of the Pearson Correlation Coefficient r NOTE: To test Ho: p=0 pgainst H,: p#0, reject H, f the absolute value of r is greater than the critical value in the table. a = 0.05 (= 0.01 4 0.950 0.990 0.959 5 0.878 6 0.811 0.917 7 0.754 0.875 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 0.514 0.661 15 0.641 16 0.497 0.623 17 0.482 0.468 0.606 18 0.590 19 0.456 0.575 20 0.444 0.396 0.561 0.505 25 30 0.361 0.463 35 40 0.335 0.430 0.402 0.312 45 0.294 0.378 50 0.279 0.361 60 70 0.254 0.236 0.330 0.305 80 0.220 0.286 0.269 90 100 0.207 0.196 0.256 a= 0.05 x= 0.01 n
Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x = 98.14, y = 98.05, r= 0.819, P-value = 0.000, and y = 16.2 + 0.83x, where x represents the IQ score of the wife. Find the best predicted value of
y given that the wife has an IQ of 97? Use a significance level of 0.05.
E 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 couples. The 20 pairs of measurements yield x = 98.14, y = 98.05, r= 0.819, P-value = 0.000, and y = 16.2 + 0.83x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 97? Use a significance level of 0.05. E 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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