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The Total Number of Hours Worked by a Student, Y xˉ \bar{x}

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The total number of hours worked by a student, y, last week depends on the number of days, x, they worked. Data on twenty-eight students produce the summary statistics
n = 28 xˉ \bar{x} = 3.21 yˉ \bar{y} = 14.79 Sxx = 2260.714 Sxy = 1969.286 Syy = 2076.714
Determine the proportion of variation in y that is explained by linear regression. Round your answer to three decimal places.

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