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A calculus instructor is interested in finding the strength of a relationship between the final exam...

A calculus instructor is interested in finding the strength of a relationship between the final exam grades of students enrolled in Calculus I and Calculus II at his college. The data (in percentages) are listed below. Complete the hypothesis test to predict the Calculus II grade if the Calculus I grade was 80?

Calculus 1: 88 78 62 75 95 91 83 86 98

Calculus 2: 81 80 55 78 90 90 81 80 100

  1. By visual observation of the scatter plot, does the data appear linear?
  1. Null Hypothesis:
  1. Alternative Hypothesis:
  1. What is the p-value?
  1. Is there sufficient evidence to support a claim of a linear correlation between the two variables? Why or why not? Explain why you rejected or failed to reject the null.
  1. If there is a correlation, what is the regression equation?
  1. What is the best prediction of the Calculus II grade if the Calculus I grade was 80?
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