Problem

To determine the characteristics of the students in their large introductory statistics class, a group of college professors administered a survey to the students in their classes. Some of the questions asked include: the student’s age in years, height (in inches), shoe size and high school GPA.

Exercise: 
a. Before you actually do any calculations or construct graphics, consider the relationship between a student’s height and the height of their ideal mate. What type of relationship would you expect for these variables? (Positive or negative? Strong or weak?)
b. Explain in layman’s terms what a positive correlation between these variables would mean. Then explain (again in layman’s terms) what a negative correlation would mean.
c. Calculate Pearson’s correlation for these variables. Is it positive or negative? Does this match your intuition? Explain.
d. Create a scatterplot of these variables. Does the scatterplot match the correlation you calculated? Explain. 
e. Further explore the data to develop an explanation for the calculated correlation.
Sample Data

The Survey data is the result of a survey administered to a large introductory statistics class. The data set contains answers from 485 participants. Not all questions are answered, resulting in missing data. Missing data is indicated by a period.