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Correlation coefficient & Margin of Error

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Calculate the correlation of the data set (3,2), (3,3), (6,4).
A 95% confidence interval for the average miles per gallon for all cars of a ginven type is 32.1 plus/minus 1.8. The interval is based on a sample of 40 randomly selected cars.

What units represent the margin of error?
Suppose you want to decrease the margin of error, but want to keep the 95% confidence interval. What do you need to do?

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The solution provides step by step method for the calculation of correlation coefficient and margin of error. Formula for the calculation is also included.

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Calculate the correlation of the data set (3, 2), (3, 3), (6, 4).
Answer
X Y X^2 Y^2 XY
3 2 9 4 6
3 3 9 9 9
6 4 36 16 24
12 9 54 29 39

The correlation between X, Y is ...

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