Question: A random sample of two variables, x and y, produced the following observations: x y 19.. 7 13.. 9 17.. 8 9..11 12.. 9 25..

A random sample of two variables, x and y, produced the following observations:
x y
19………………….. 7
13………………….. 9
17………………….. 8
9…………………..11
12………………….. 9
25………………….. 6
20………………….. 7
17………………….. 8
a. Develop a scatter plot for the two variables and describe what relationship, if any, exists.
b. Compute the correlation coefficient for these sample data.
c. Test to determine whether the population correlation coefficient is negative. Use a significance level of 0.05 for the hypothesis test.

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