The data from exercise 3 follow. xi 2 6 9 13 20 yi 7 18 9...
The data from exercise 3 follow.
| xi | 2 | 6 | 9 | 13 | 20 |
| yi | 7 | 18 | 9 | 26 | 23 |
The estimated regression equation is = 7.6 + .9x.
- What is the value of the
standard error of the estimate (to 4 decimals)?
- What is the value of the
t test statistic (to 2 decimals)?
What is the p-value? Use Table 1 of Appendix B.
Selectless than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40
What is your conclusion ( = .05)?
SelectConclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and y - Use the F test to
test for a significant relationship. Use = .05.
Compute the value of the F test statistic (to 2 decimals).
What is the p-value?
Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10
Homework Answers
| x | y | SUMMARY OUTPUT | |||||||||
| 2 | 7 | ||||||||||
| 6 | 18 | Regression Statistics | |||||||||
| 9 | 9 | Multiple R | 0.739795443 | ||||||||
| 13 | 26 | R Square | 0.547297297 | ||||||||
| 20 | 23 | Adjusted R Square | 0.396396396 | ||||||||
| Standard Error | 6.514087299 | ||||||||||
| Observations | 5 | ||||||||||
| ANOVA | |||||||||||
| df | SS | MS | F | Significance F | |||||||
| Regression | 1 | 153.9 | 153.9 | 3.63 | 0.152962 | ||||||
| Residual | 3 | 127.3 | 42.43333 | ||||||||
| Total | 4 | 281.2 | |||||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | ||||
| Intercept | 7.6 | 5.551576 | 1.37 | 0.2645 | -10.0676 | 25.26759 | -10.0676 | 25.26759 | |||
| x | 0.9 | 0.472582 | 1.904433 | 0.152962 | -0.60397 | 2.403965 | -0.60397 | 2.403965 | |||
a) 6.5141
b) t = 1.37 , p-value between .20 and .40
c) F = 3.63 , p-value greater than .10
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{Exercise 13.07}
Three different methods for assembling a product were proposed
by an industrial engineer. To investigate the number of units
assembled correctly with each method, 30 employees were randomly
selected and randomly assigned to the three proposed methods in
such a way that each method was used by 10 workers. The number of
units assembled correctly was recorded, and the analysis of
variance procedure was applied to the resulting data set. The
following results were obtained: SST = 10,800;...
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