
x y
25 95
26 95
36 102
36 109
40 110
48 114
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 73.012826 + 0.8858912 x
Sample size: 6
R (correlation coefficient) = 0.95124387
R-sq = 0.9048649
Estimate of error standard deviation: 2.7880693
Parameter estimates:
| Parameter | Estimate | Std. Err. | Alternative | DF | T-Stat | P-value |
|---|---|---|---|---|---|---|
| Intercept | 73.012826 | 5.1774635 | ? 0 | 4 | 14.102045 | 0.0001 |
| Slope | 0.8858912 | 0.14362462 | ? 0 | 4 | 6.168101 | 0.0035 |
Analysis of variance table for regression
model:
| Source | DF | SS | MS | F-stat | P-value |
|---|---|---|---|---|---|
| Model | 1 | 295.74001 | 295.74001 | 38.04547 | 0.0035 |
| Error | 4 | 31.093322 | 7.7733304 | ||
| Total | 5 | 326.83333 |
Predicted values:
| X value | Pred. Y | s.e.(Pred. y) | 95% C.I. for mean | 95% P.I. for new |
|---|---|---|---|---|
| 37 | 105.7908 | 1.1682843 | (102.54712, 109.03448) | (97.39775, 114.18385) |
Hence,
95% prediction interval will be:
97.4 < y < 114.2
Option B is correct.
POT) The regression equation for the given paired data is y-hat = 73.012 +0.8859x and the standard error of estimate is se= 2.78807. Find the 95% prediction interval of y for x = 37. * 25 26 36 36 40 48 y 95 95 102 109 110 114 a) 73.0 < y < 114.2 Ob) 73.0 < y < 105.8 Oc) 97.4 < y < 10.8 od) 97.4 < y < 114.2 Question 4 (1 point) Saved ов Ана со...
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