Question
In: Statistics and Probability
The following data were used in a regression study. Observation 1 2 3 4 5 6...
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 |
5 | 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 =
|
xi |
1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
|
yi |
3 | 8 | 5 | 11 | 12 |
The estimated regression equation for these data is ŷ = 1.50 + 2.10x.
(b) Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2.
SSE =
SST =
SSR =
(c) Compute the coefficient of determination r2.
r2 =
Solutions
Expert Solution
a)
y^ =3.12+0.54*x
2)
| SSE = 'Σ(Yi-Ŷ)2 = | 14.7000 | |
| SST = 'Σ(Yi-Y̅)2 = | 58.800 | |
| SSR = 'Σ(Ŷ-Y̅)2 = | 44.100 | |
c)
| Coeffficient of determination R^2 =SSR/SST= | 0.750 | ||
orchestra answered 1 year agoRelated Solutions
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