Working as a professor, I may want to try and predict success on a final exam by student success on exam 1 and see whether or not there is a relationship between those. I gather data from a set of students and obtain their first exam score and their final exam score. Using the following data, find the Pearson’s r correlation coefficient, produce a linear regression equation, and describe the associated R2 value.  First exam score (X) Final exam score (Y) 95 100 90 92 95 90 85 90 85 85 80 75 65 75 60 50 70 82 90 95 80 100 90 90 75 60 75 80 R2 = ____________________ What does R2 in this example mean? ____________________________________________   What would the final exam score be for someone who scored a 75 on the first exam?  _______________   What would the final exam score be for someone who scored a 90 on the first exam?  _______________

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Working as a professor, I may want to try and predict success on a final exam by student success on exam 1 and see whether or not there is a relationship between those. I gather data from a set of students and obtain their first exam score and their final exam score. Using the following data, find the Pearson’s r correlation coefficient, produce a linear regression equation, and describe the associated R2 value. 



First exam score (X)

Final exam score (Y)

95

100

90

92

95

90

85

90

85

85

80

75

65

75

60

50

70

82

90

95

80

100

90

90

75

60

75

80

  1. R2 = ____________________
  2. What does R2 in this example mean? ____________________________________________

 

  1. What would the final exam score be for someone who scored a 75 on the first exam? 

_______________

 

  1. What would the final exam score be for someone who scored a 90 on the first exam? 

_______________



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