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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
a. Draw the scatter diagram for the data.
b. Calculate the sample correlation coefficient, r.
c. Calculate the coefficient of determination, r^2.
d. What does the coefficient of determination tell you about the variation attendance and the variation in the number of exhibitors?
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