Šuppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.877 and the equation of the regression line is y = 20.45 +0.81x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 105.5 and the 20 y values have a mean of 105.75. What is the best predicted IQ of the younger child, given that the older child has an IQ of 103? 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 IQ of the younger child is (Round to two decimal places as needed.)
Šuppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.877 and the equation of the regression line is y = 20.45 +0.81x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 105.5 and the 20 y values have a mean of 105.75. What is the best predicted IQ of the younger child, given that the older child has an IQ of 103? 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 IQ of the younger child is (Round to two decimal places as needed.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
Related questions
Question
the table for critical value is given in image capture2.png
Transcribed Image Text:Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.877 and the equation of the regression line is y = 20.45 + 0.81x, where x represents the IQ score of the older child. Also,
the 20 x values have a mean of 105.5 and the 20 y values have a mean of 105.75. What is the best predicted IQ of the younger child, given that the older child has an IQ of 103? Use a significance level of 0.05.
Click the icon to view the critical values of the Pearson correlation coefficient r.
The best predicted IQ of the younger child is
(Round to two decimal places as needed.)
Transcribed Image Text:NOTE: To test H,: p=0
against H,: p#0, reject
H, if the absolute value
of r is greater than the
critical value in the
table.
Critical Values of the Pearson Correlation Coefficient r
(=0.05
x = 0.01
4
0.950
0.990
0.878
0.959
6.
0.811
0.917
7
0.754
0.875
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
a = 0.05
a = 0.01
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