The number of faculty and the number of students are shown for a random selection of small colleges. Is there a significant relationship between the two variables? Switch x and y and repeat the process. Which do you think is really the independent variable?

Perform the following steps.
a. Draw the scatter plot for the variables.
b. Compute the value of the correlation coefficient.
c. State the hypotheses.
d. Test the significance of the correlation coefficient at α = 0.05, using Table I.
e. Give a brief explanation of the type of relationship.

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Faculty 99 110 16 138 174 220 Students 1353 1290 1091 1213 1384 1283 2075