Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x= 102.13, y = 101.35, r=0.927, P-value = 0.000, and y = 2.05 + 0.97x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 103? Use a significance level of 0.05. 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 Coefficientr a = 0.05 (Round to two decimal places as needed.) a= 0.01 NOTE: To test Ho: p=0
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
 alt="Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 102.13, y = 101.35, r= 0.927, P-value = 0.000, and y = 2.05 + 0.97x, where x represents the IQ score of the older child. Find the
best predicted value of y 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.
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
a = 0.05
a = 0.01
NOTE: To test Ho: p=0
Jagainst H,: p#0, reject H,
lif the absolute value of r is
greater than the critical
value in the table.
4.
0.950
0.990
0.878
0.959
6
0.811
0.917
0.754
0.875
8.
0.707
0.834
0.666
0.632
0.602
9
0.798
10
0.765
11
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
0.468
0.456
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
0.402
40
0.312
45
0.294
0.378
50
0.279
0.361
60
0.254
0.330
Enter your answer in the answer box and then click Check Answer.
70
0.236
0.305
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