Scatter diagram-sample correlation-coefficient determination

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Reference no: EM1320030

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?

Reference no: EM1320030

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