Regression and Correlation

1)

In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player’s home run percentage (number of home runs per 100 times at bat). A random sample of n=7 professional baseball players gave the following information.

a) Would you say the correlation is positive or negative? (It might help to draw a scatter diagram.)

x 0.243 0.259 0.286 0.263 0.268 0.339 0.299

y 1.4 3.6 5.5 3.8 3.5 7.3 5.0

(1pts)

positive

negative

2)

Using the same data, would you say the correlation is low, moderate, or high?

(1pts)

low

moderate

high

3)

Using the same data, compute r. (Round your answer to 3 decimal places.)

(2pts)

4)

Using the same data: As x increases, does the value of r imply that y should tend to increase or decrease?

(1pts)

increase

decrease

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