Probability and Statistics for Engineering and the Sciences
Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Textbook Question
Chapter 13, Problem 73SE

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: β ^ o = − 1.5127, β ^ 1   = .391901, β ^ 2  = -.00163141, s β ^ 2  = .00003391, SSE = .29, SST =" 202.88, and s γ ^ = .1141 when x = 100.

  1. a. Does the quadratic model appear to be suitable for explaining observed variation in output power by relating it to frequency?
  2. b. Would the simple linear regression model be nearly as satisfactory as the quadratic model?
  3. c. Do you think it would be worth considering a cubic model?
  4. d. Compute a 95% CI for expected power output when frequency is 100.
  5. e. Use a 95% PI to predict the power from a single experimental run when frequency is 100.
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Chapter 13 Solutions

Probability and Statistics for Engineering and the Sciences

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