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Sample covariance between quiz score

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A teacher would like to know the relationship between quiz score and how long students studied for the quiz the day before. She collects data for four students randomly selected from her class, which are reported in the following table.
quiz score (out of 100) study time in hours
60 8
70 2
80 5
100 6
(A) What is the sample covariance between quiz score and study time measured in hours?
(B) For the sample sample of students, would you expect the sample covariance between quiz score and study time measured in minutes to be higher, lower, or the same as your answer in Part (A)? Why?
(C) For the sample sample of students, would you expect the sample correlation between quiz score and study time measured in hours to be higher, lower, or the same as the sample correlation between quiz score and study time measured in minutes? Why?
(D) Based on the sample data above, should you expect students who studied longer for the quiz to on average do better or worse than students who studied less? Why?

Reference no: EM132865150

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