Question

A student wonders if tall women tend to date taller men than do short women. She measures herself, her dormitory roommate, and the women in the adjoining dorm rooms. Then she measures the next man each woman dates. Given in the table are the data (heights in inches). Also given is the scatterplot. Find the correlation and explain how your value for r matches the scatterplot.

Answer 1

To find the correlation coefficient, use the formula: r = ((x - mean(x))(y - mean(y))) / (sqrt(sum(((x - mean(x))²)) * sqrt(sum((y - mean(y)²))).

Step-by-step explanation:

To find the correlation coefficient, we can use the formula:

r = Σ[(x - μx)(y - μy)] / [√(Σ(x - μx)²)√(Σ(y - μy)²)]

Once we calculate the correlation coefficient, we can interpret its value. A correlation coefficient between -1 and 1 indicates the strength and direction of the relationship. A value close to 1 or -1 indicates a strong positive or negative relationship, respectively.