Answer:
n=6
So then the correlation coefficient would be r =0.913
And as we can see the value for r is very high and near to 1. so the correct option for this case would be:
C. There is a positive correlation between the heights of men and women.
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
We have the following data:
Women (X): 66 64 66 65 70 65
Men(Y): 72 68 70 68 74 69
We have quantitative data so no makes sense say that we have categorical data.
For our case we have this:
n=6
So then the correlation coefficient would be r =0.913
And as we can see the value for r is very high and near to 1. so the correct option for this case would be:
C. There is a positive correlation between the heights of men and women.