Question 1085569: A civil service efficiency expert developed a test measuring job satisfaction of civil service clerks. The following information was obtained from a random sample of 10 clerks.
X 48 92 32 56 40 72 16 56 76 80
Y 13 2 14 10 14 6 17 8 3 7
Where; x is the job satisfaction index and y is the # of days absent from work in 1 year.
i. Draw a scatter diagram for the data
ii. From the scatter diagram, would you say slope is closest to 1, 0, or -1?
iii. Find the equation of the line.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Part i)
Using technology (specifically the program GeoGebra), I got this scatter diagram
The coordinates for each point listed in the diagram are:
A = (48, 13)
B = (92, 2)
C = (32, 14)
D = (56, 10)
E = (40, 14)
F = (72, 6)
G = (16, 17)
H = (56, 8)
I = (76, 3)
J = (80, 7)
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Part ii)
The slope is closest to -1 because of how the points move downward as we read from left to right.
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Part iii)
Using technology, I got the equation of the regression line to be approximately y = -0.20392x + 20.98278
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