Question
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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