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Finding and Testing the Correlation Coefficient

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A sociologist is interested in the relation between x=number of job changes and y=annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information:

x (number of job changes) 0 7 6 2 8 6 8 7 0 0
y (salary in $1000s) 56 45 45 47 69 73 57 69 54 68

a. find xbar, ybar, a, b, and the equation of the least-squares line

b. if someone had x=3 job changes, what does the line predict for y, the annual salary?

c. find a 95% confidence interval for the prediction in part c

d. find the sample correlation coefficient r.

e. test the correlation coefficient for significance at the 90% confidence level

f. calculate the spearman rank correlation coefficient for these data.

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The expert examines finding and testing the correlation coefficient.

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A sociologist is interested in the relation between x=number of job changes and y=annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information:

x (number of job changes) 0 7 6 2 8 6 8 7 0 0
y (salary in $1000s) 56 45 45 47 69 73 57 69 54 68

a. find xbar, ybar, a, b, and the equation of the least-squares line ...

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