Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 99.11, y = 100.1, r= 0.872, P-value = 0.000, and y = 7.99 +0.93x, where x represents the IQ score of the twin bom first. Find the best predicted value of y given that the twin born first has an IQ of 96? Use a significance level of 0.05. O Critical Values of the Pearson Correlation Coefficient r 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.) Critical Values of the Pearson Correlation Coefficient r NOTE: To test H: p=0 against H,: p#0, reject Ho if the absolute value of ris greater than the critical value in the table. a= 0.05 a = 0.01 0.950 0.990 0.878 0.959 0.811 0.917 7 0.754 0.875 0.834 0.798 8 0.707 9 0.666 0.632 0.765 0.735 0.708 10 0.602 0.576 0.553 11 12 0.684 13 14 0.532 0.661 0.641 0.623 0.606 0.514 15 16 17 0.497 0.482 0.468 0.456 0.590 0.575 0.561 0.505 0.463 0.430 0.402 18 19 20 0.444 25 0.396 30 0.361 35 40 0.335 0.312
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 99.11, y = 100.1, r= 0.872, P-value = 0.000, and y = 7.99 +0.93x, where x represents the IQ score of the twin bom first. Find the best predicted value of y given that the twin born first has an IQ of 96? Use a significance level of 0.05. O Critical Values of the Pearson Correlation Coefficient r 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.) Critical Values of the Pearson Correlation Coefficient r NOTE: To test H: p=0 against H,: p#0, reject Ho if the absolute value of ris greater than the critical value in the table. a= 0.05 a = 0.01 0.950 0.990 0.878 0.959 0.811 0.917 7 0.754 0.875 0.834 0.798 8 0.707 9 0.666 0.632 0.765 0.735 0.708 10 0.602 0.576 0.553 11 12 0.684 13 14 0.532 0.661 0.641 0.623 0.606 0.514 15 16 17 0.497 0.482 0.468 0.456 0.590 0.575 0.561 0.505 0.463 0.430 0.402 18 19 20 0.444 25 0.396 30 0.361 35 40 0.335 0.312
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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Question
Transcribed Image Text:Critical Values of the Pearson Correlation Coefficient r
0.034
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
x = 0.05
a = 0.01
In
Transcribed Image Text:Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 99.11, y = 100.1, r=0.872, P-value = 0.000, and y = 7.99 +0.93x, where x represents the IQ score of the twin bom first. Find the
best predicted value of y given that the twin born first has an IQ of 96? Use a significance level of 0.05.
1 Critical Values of the Pearson Correlation Coefficient r
E Click the icon to view the critical values of the Pearson correlation coefficient r.
The best predicted value of y is.
Critical Values of the Pearson Correlation Coefficient r
a = 0.01
NOTE: To test Ho: p=0
against H,: p#0, reject H,
if the absolute value of r is
greater than the critical
value in the table.
(Round to two decimal places as needed.)
a = 0.05
4
0.950
0.990
0.878
0.959
0.811
0.917
0.754
0.875
0.834
0.798
0.765
0.735
0.708
8
0.707
9
0.666
10
0.632
11
0.602
0.576
0.553
12
0.684
13
0.661
0.641
0.623
0.606
14
0.532
0.514
15
16
17
0.497
0.482
0.468
0.456
0.444
0.590
0.575
0.561
0.505
0.463
0.430
0.402
18
19
20
25
0.396
30
0.361
35
0.335
40
0.312
0.378
n 361
0.294
45
50
0.279
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