(Step-by-Step) Mary Sue wants to know if there is a connection between attendance at craft fairs and the number of exhibitors who have booths at the fair.
Question:
Mary Sue wants to know if there is a connection between attendance at craft fairs and the number of exhibitors who have booths at the fair. For a random sample of seven local craft fairs, she chose a random day of the fair and recorded the number of exhibitors. In the data below, x represents the number of exhibitors and y represents the attendance in hundreds of people.
| x | 35 | 55 | 75 | 95 | 100 | 135 | 150 |
| y | 1.2 | 2.1 | 4.2 | 5.4 | 5.8 | 6.2 | 9.5 |
- Draw the scatter diagram for the data.
- Calculate the sample correlation coefficient, r.
- Calculate the coefficient of determination, r 2 .
- What does the coefficient of determination tell you about the variation in attendance and the variation in the number of exhibitors?
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