Concept explainers
To rank: the
Answer to Problem 16E
Relationship | Rank |
The heights of the women at age 4 and their heights at age 18. | 1 |
The heights of the father and their heights of the adult sons. | 2 |
The heights of the husband and their heights of the wives. | 3 |
Explanation of Solution
Calculation:
Consider the case rank the correlations, here three relations are given, the heights of fathers and heights of their adult sons, the heights of husband and heights of their wives, and the heights of women at age 4 and their heights at age 18. Correlation value of a variable to itself is always 1. In third case the heights of women at age 4 and their heights at age 18 will be highly correlated. In first case, the heights of fathers and heights and heights of their adult sons are related up to some extent because of heredity. But in second case the heights of husbands and heights of their wives are not related because they come from different family. Hence we can rank the correlations between these pairs of variables from highest to lowest as:
Relationship | Rank |
The heights of the women at age 4 and their heights at age 18. | 1 |
The heights of the father and their heights of the adult sons. | 2 |
The heights of the husband and their heights of the wives. | 3 |
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The Practice of Statistics for AP - 4th Edition
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