Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 12.2, Problem 12E
Refer back to the data in Exercise 4, in which y = ammonium concentration (mg/L) and x = transpiration (ml/h). Summary quantities include n = 13, Σxi = 303.7, Σyi = 52.8, Sxx = 1585.230769, Sv = −341.959231. and Syy = 77.270769.
- a. Obtain the equation of the estimated regression line and use it to calculate a point prediction of ammonium concentration for a future observation made when ammonium concentration is 25 ml/h.
- b. What happens if the estimated regression line is used to calculate a point estimate of true average concentration when transpiration is 45 ml/h? Why does it not make sense to calculate this point estimate?
- c. Calculate and interpret s.
- d. Do you think the simple linear regression model does a good job of explaining observed variation in concentration? Explain.
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Chapter 12 Solutions
Probability and Statistics for Engineering and the Sciences
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