younger child has an IQ of 95? Use a significance level of 0.05.

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 siblings. The 20 pairs of measurements yield x = 97.75, y= 97.25, r=0.925, P-value = 0.000, and y = -1,28 + 1.01x, where x represents
the IQ score of the younger child. Find the best predicted value of y given that the younger child has an IQ of 95? 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 siblings. The 20 pairs of measurements yield x = 97.75, y= 97.25, r=0.925, P-value = 0.000, and y = -1,28 + 1.01x, where x represents the IQ score of the younger child. Find the best predicted value of y given that the younger child has an IQ of 95? 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.)
Critical Values of the Pearson Correlation Coefficient r
Critical Values of the Pearson Correlation Coefficient r
a = 0.01
NOTE: To test H, p= 0
|against H, p 0, reject H,
lif the absolute value of r is
greater than the critical
value in the table.
x=0.05
4
0.950
0.990
0.878
0.959
0.811
0.917
0.754
0.875
0.707
0.834
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
0.482
0 468
0.456
17
0.606
18
0.590
19
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
0.378
0.361
0.330
45
0.294
50
0.279
60
0.254
70
0.236
0.305
0.286
0.269
0.220
08
06
100
0.207
0.196
0.256
a = 0.05
a = 0.01
Transcribed Image Text:Critical Values of the Pearson Correlation Coefficient r Critical Values of the Pearson Correlation Coefficient r a = 0.01 NOTE: To test H, p= 0 |against H, p 0, reject H, lif the absolute value of r is greater than the critical value in the table. x=0.05 4 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.707 0.834 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 0.482 0 468 0.456 17 0.606 18 0.590 19 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 0.378 0.361 0.330 45 0.294 50 0.279 60 0.254 70 0.236 0.305 0.286 0.269 0.220 08 06 100 0.207 0.196 0.256 a = 0.05 a = 0.01
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