Concept explainers
The accompanying data on x = frequency (MHz) and y = output power (W) for a certain laser configuration was read from a graph in the article “Frequency Dependence in RF Discharge Excited Waveguide CO2 Lasers" (IEEE J. of Quantum Electronics, 1984: 509-514).
X | 60 | 63 | 77 | 100 | 125 | 157 | 186 | 222 |
V | 16 | 17 | 19 | 21 | 22 | 20 | 15 | 5 |
A computer analysis yielded the following information for a quadratic regression model:
- a. Does the quadratic model appear to be suitable for explaining observed variation in output power by relating it to frequency?
- b. Would the simple linear regression model be nearly as satisfactory as the quadratic model?
- c. Do you think it would be worth considering a cubic model?
- d. Compute a 95% CI for expected power output when frequency is 100.
- e. Use a 95% PI to predict the power from a single experimental run when frequency is 100.
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Probability and Statistics for Engineering and the Sciences