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Question

Are the marks one receives in a course related to the amount of time spent studying the subject? To investigate this mysterious possibility, a student took a random sample of 10 students who had enrolled in an accounting class last semester. He asked each to report his or her mark in the course and the total number of hours spent studying accounting. These data are listed here: Study

 time 40423747254441483528 Marks 77637986517883906547\begin{array}{rllllllllll}\text { time } & 40 & 42 & 37 & 47 & 25 & 44 & 41 & 48 & 35 & 28 \\ \text { Marks } & 77 & 63 & 79 & 86 & 51 & 78 & 83 & 90 & 65 & 47\end{array}

Calculate the covariance.

Solution

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Let xix_i be the ith student's study time and yiy_i be the ith student mark in the course

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