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Mary Sue problem: Scatter Diagram, Sample Correlation Coefficient, Coefficient of determination

Mary Sue wants to know if there is a connection between attendance at craft fairs and 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. illustrate the scatter diagram for the data.

b. estimate the sample correlation coefficient, r.

c. compute 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?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M920730

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