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In a study on the satisfaction of college-age students with their part-time jobs, the average number of hours worked in a given week was recorded

In a study on the satisfaction of college-age students with their part-time jobs, the average number of hours worked in a given week was recorded for 10 different students at 10 different jobs, along with their overall level of satisfaction (on a scale of 1-10), to see if there was any correlation between the number of hours worked in a given week and the level of satisfaction with the job. All 10 students worked in the same industry in roughly the same geographical area.

Average Weekly Hours Worked Overall Satisfaction (out of 10)
5 22
8 12
6 24
7 32.5
9 16
1 9
8 17
3 31.5
10 20.5
6 22

Complete the following instructions:

i. Determine the equation of the line of best fit. y=_______+ x

Round answers to 3 significant digits.

ii. Calculate the Total Variation (SST), Explained Variation (SSR), and Unexplained Variation (SSE). SST=

SSR=

SSE=

Round answers to 2 decimal places.

iii. Based on your results from part (ii), calculate the coefficient of determination (r2).

r2=

Round to 2 decimal places.

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