A) For the data below, what is the value of "a" for the regression equation? B) For the data below, what is the IQ of the son if the father has an IQ of 100? C) For the data below, what is the IQ of the son if the father has an IQ of 90? D) For the data below, what is the IQ of the son if the father has an IQ of 80? E) For the data below, what is the standard error of the estimate for the previous predictions? Family Father Son 120 121 110 105 120 125 92 87 85 92 72 90 107 110 115 122 155 133 90 123
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.
A) For the data below, what is the value of "a" for the regression equation?
B) For the data below, what is the IQ of the son if the father has an IQ of 100?
C) For the data below, what is the IQ of the son if the father has an IQ of 90?
D) For the data below, what is the IQ of the son if the father has an IQ of 80?
E) For the data below, what is the standard error of the estimate for the previous predictions?
| Family | Father | Son |
| 120 | 121 | |
| 110 | 105 | |
| 120 | 125 | |
| 92 | 87 | |
| 85 | 92 | |
| 72 | 90 | |
| 107 | 110 | |
| 115 | 122 | |
| 155 | 133 | |
| 90 | 123 |
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