For Exercises 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.
Assume all assumptions have been met.

School administrators wondered
whether class size and grade achievement (in percent)
were related. A random sample of classes revealed
the following data. Are the variables linearly related?

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No. of students Avg. grade (%) 15 10 8 20 18 6 85 90 82 80 84 92