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# Coefficient of determination and Correlation coefficient

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The Abalone Fancy Fish Company sells exotic fish to high end restaurants throughout the West Coast. The sales manager wants to determine what, if any, relationship exists between the pounds/week of fish sold by 24 sales persons and the length of time (in years) the sales person has been with the company.

Attached is the MegaStat regression output. The dependent variable is Sales (in pounds/week) and the independent variable is Experience (in years).

Use the MegaStat output to identify the coefficient of determination and the correlation coefficient, and interpret each of them.

coefficient of determination =

Interpretation of the coefficient of determination:

A. This is the proportion of the total variation in the number of years of experience that is explained by the sales

B. This is the point estimate of the change in sales associated with each additional year of experience.

C. This is a measure of the variability of the observed sales values from their predicted values at particular years of experience.

D. This is the proportion of the total variation in sales that is explained by the number of years of experience.

E. This value has no practical interpretation.

correlation coefficient =
.
Interpretation of the correlation coefficient:

A. This tells us that there is a positive linear relationship between sales and experience.

B. This is the point estimate of the change in sales associated with each additional year of experience.

C. This is a measure of the variability of the observed sales values from their predicted values at particular years of experience.

D. This is the proportion of the total variation in sales that is explained by the number of years of experience

E. This value has no practical interpretation.