The following data were used in a regression study.
Observation | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
---|---|---|---|---|---|---|---|---|---|
xi |
2 | 3 | 4 | 5 | 7 | 7 | 7 | 8 | 9 |
yi |
3 | 5 | 4 | 7 | 4 | 6 | 9 | 5 | 11 |
a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)
ŷ =
b) Do the assumptions about the error term seem to be satisfied?
a) The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied.
b) The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied.
c) The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied.
d) The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are satisfied.
e) The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied.
The statistical software output for this problem is:
Hence,
a) y = 1.94 + 0.70 x
b) Option E is correct.
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