David Gallano, a wine merchant, has collected opinions on grape wine quality from a sample of his customers. These customers tasted wine made from grapes grown in three regions of the country. They rated the wine quality on a scale of 1 (best) to 4 (worst). The following is the data obtained for customer quality rating of wine by grape-growing region.

Quality Rating Growing Regions ---- Row Total

I II III

1 15 10 6 31

2 7 13 12 32

3 11 12 8 31

4 3 8 15 26

Column Total 36 43 41 120

David wants to know whether quality ratings are or, are not independent of grape growing region. Can you conclude at a 95% confidence that the quality rating is independent of the grape growing region?

The chairperson of the marketing department at a university undertakes a study to relate the starting salary after graduation for marketing majors to overall grade point average (GPA). To do this, he/she identifies records of seven randomly selected recent marketing graduates. The results are:

Marketing Graduates Starting salary in thousands of dollars GPA

1 33.8 3.26

2 29.8 2.60

3 33.5 3.35

4 30.4 2.86

5 36.4 3.82

6 27.6 2.21

7 35.3 3.47

Compute the equation of the regression line and interpret the results.