Respuesta :
The correlation between the ages of women and the men they marry would be 1.
Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables:
- The age of women
- The age of the men they married
Moreover, it is known in this situation, women are always two years younger. Let's see some examples:
- Woman age Man age
- 25 years old 27 years old
- 37 years old 39 years old
- 31 years old 33 years old
Now, let's calculate the mean of these values
- 25 + 27 = 52/ 2 = 26
- 37 + 39 = 76/2 = 38
- 31 + 33 = 64/ 2 = 32
These values have a common factor, in all cases, the difference between any of the variables and the mean is 1, which implies the correlation is also 1.
- For example: 26 that is the mean of the first example equals 25 + 1 = age of the woman and 27-1 age of the man.
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