Question

At the end of Spring 2018, a random sample of Northwestern students filled out questionnaires giving their year of birth, age in years, mother’s age, father’s age, etc.

(a) In this sample of students, the correlation between student’s age and mother’s age is likely .

(i) -1, or close to -1

(ii) Somewhat negative

(iii) 0, or close to 0

(iv) Somewhat positive

(v) 1, or close to 1

(b) In this sample of students, the correlation between student’s age and year of birth is likely .

(i) -1, or close to -1

(ii) Somewhat negative

(iii) 0, or close to 0

(iv) Somewhat positive

Answer 1

Solution:

(a) As no data is provided, so thee is a chance that if the age of the student increases, the age of the mother will also increase...

In this case, the correlation coefficient will be: Somewhat Positive..

(b) Consider the following example:

As the Year of Birth increases, Age decreases...

So the correlation is -1 or close to -1...

End of the Solution...