Question
In: Statistics and Probability
Use the following pairs of observations to construct an 80% and a 98% confidence interval for β1....
Use the following pairs of observations to construct an 80% and a 98% confidence interval for β1.
|
x |
11 |
55 |
33 |
00 |
44 |
22 |
66 |
|
|---|---|---|---|---|---|---|---|---|
|
y |
11 |
66 |
44 |
22 |
33 |
33 |
77 |
The 80% confidence interval is (______) (Round to two decimal places as needed.)
The 98% confidence interval is (______) (Round to two decimal places as needed.)
Solutions
Expert Solution
For the given data using Regression in Excel we get output as :
| SUMMARY OUTPUT | ||||||
| Regression Statistics | ||||||
| Multiple R | 0.902109796 | |||||
| R Square | 0.813802083 | |||||
| Adjusted R Square | 0.7765625 | |||||
| Standard Error | 1.010657495 | |||||
| Observations | 7 | |||||
| ANOVA | ||||||
| df | SS | MS | F | Significance F | ||
| Regression | 1 | 22.32142857 | 22.32143 | 21.85315 | 0.005459317 | |
| Residual | 5 | 5.107142857 | 1.021429 | |||
| Total | 6 | 27.42857143 | ||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
| Intercept | 1.035714286 | 0.688647002 | 1.503984 | 0.192914 | -0.734509189 | 2.805937761 |
| X Variable 1 | 0.892857143 | 0.190996314 | 4.674735 | 0.005459 | 0.401885488 | 1.383828797 |
orchestra answered 1 year agoRelated Solutions
Use the following pairs of observations to construct an 80% and a 98% confidence interval for...
Use the following pairs of observations to construct an 80% and
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beta 1β1.
x
1
2
3
0
6
4
5
y
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1
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