Question
ŷ = 20 + 0.8x is given for the data below. Please show steps. xi 70...
ŷ = 20 + 0.8x is given for the data below. Please show steps.
|
xi |
70 |
75 |
80 |
80 |
85 |
90 |
|
yi |
75 |
82 |
80 |
86 |
90 |
91 |
|
ŷi |
76 |
80 |
84 |
84 |
88 |
92 |
|
ei |
-1 |
2 |
-4 |
2 |
2 |
-1 |
Calculate SSE, the sum of square errors.
Calculate the sample estimate of the variance for the regression model. What is it's purpose?
Calculate the value of R2. What does R2represent?
Homework Answers
Answer #1
| X | Y | Y' | (Y-Y') | (Y-Y')^2 | (Y'-Y_bar)^2 |
| 70 | 75 | 76 | -1 | 1 | 64 |
| 75 | 82 | 80 | 2 | 4 | 16 |
| 80 | 80 | 84 | -4 | 16 | 0 |
| 80 | 86 | 84 | 2 | 4 | 0 |
| 85 | 90 | 88 | 2 | 4 | 16 |
| 90 | 91 | 92 | -1 | 1 | 64 |
| Mean | 84 | Sum | 30 | 160 |
SSE: 
or 
The sample estimate of variance, SSR: 
The amount variance covered by regression is sample estimate of variance.
SST=SSR+SSE= 190
The percentage of estimated variance covered by regression:
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