nvestigate characteristics of college students using survey results.
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. Can we estimate a person’s height from their shoe size? Create a scatterplot of the relationship between shoe size and height. Choose the appropriate variable to be on the horizontal axis. 
b. Examine the scatterplot. Is the relationship positive or negative? 
c. Calculate the least squares regression line that relates height to shoe size. What is the least squares line? 
d. Explain in layman’s terms the meaning of the slope term in this regression line.
e. Is the slope between shoe size and height significant? Explain how you know. 
f. Does the intercept term make sense in this setting? Explain. 
g. Calculate the R-square statistic for the relationship between shoe size and height. Explain this terms meaning.
h. We find a student shoe print that was a size 10. What height would you estimate for this student? Also calculate a prediction interval. Would this interval be useful in identifying the student? Explain.
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.