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# Statistics: Various Problems

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For questions 1, 3 and 4, please refer to the attached document for numerical information.

1. Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the attached sample information. The X column indicates the number of client contacts last month, and the Y column shows the value of sales (\$ thousands) last month for each client sampled.

a. Determine the regression equation.
b. Determine the estimated sales if 40 contacts are made.

2. Refer to Exercise 1. (Above)

a. Determine the standard error of estimate.
b. Suppose a large sample is selected (instead of just 10). About 95 percent of the predictions regarding sales would occur between what two values?

3. The attached table gives the annual amount of scrap produced by Machine Products, Inc. Determine the least squares trend equation. Estimate the amount of scrap for the year 2003.

4. Victor Anderson, the owner of Anderson Belts, Inc., is studying absenteeism among his employees. His workforce is small, consisting of only five employees. For the last three years he recorded the attached number of employee absences, in days, for each quarter. Determine a typical seasonal index for each of the four quarters.