You are at a college of roughly 1,000 students and obtain data from the entire freshman class (250 students) on height and weight during orientation
You consider this to be a population that you want to describe, rather than a sample from which you want to infer general relationships in a larger population. Weight (Y) is measured in pounds and height (X) is measured in inches. You calculate the following sums:
= 94,228.8, = 1,248.9, = 7,625.9
(small letters refer to deviations from means as in = – ).
(a) Given your general knowledge about human height and weight of a given age, what can you say about the shape of the two distributions?
(b) What is the correlation coefficient between height and weight here?
What will be an ideal response?
Answer:
(a) Both distributions are bound to be normal.
(b) 0.703.
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