Introduction to Probability and Statistics
Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 12.7, Problem 12.40E

Refer to Exercise 12.7. Portions of the MINITAB printout are shown here.
MINITAB Output for Exercise 12.40
Regression Analysis: y versus x

Chapter 12.7, Problem 12.40E, Refer to Exercise 12.7. Portions of the MINITAB printout are shown here. MINITAB Output for Exercise

  1. Find a 95% confidence interval for the average value of y when x = 2.
  2. Find a 95% prediction interval for some value of ‘‘to be observed in the future when x = 2.
  3. The last line in the third section of the printoutindicates a problem with one of the fitted values.
    What value of x corresponds to the fitted value y = 1.5429 ? What problem has the MINITAB program detected?

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In exercise 12, the following data on x = average daily hotel room rate and y = amount spent on entertainment (The Wall Street Journal, August 18, 2011) lead to the estimated regression equation ŷ = 17.49 + 1.0334x. For these data SSE = 1541.4.Click on the datafile logo to reference the data. Use Table 1 of Appendix B.     a.  Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals).$ b.  Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89 (to 2 decimals).$ to $ c.  The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).
In exercise 12, the following data on x = average daily hotel room rate and y = amount spent on entertainment (The Wall Street Journal, August 18, 2011) lead to the estimated regression equation ŷ = 17.49 + 1.0334x. For these data SSE = 1541.4. Use Table 1 of Appendix B.Click on the datafile logo to reference the data.     a.  Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals).$ b.  Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89 (to 2 decimals).$ to $ c.  The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).$ to $
In simple linear regression, at what value of the independent variable, X, will the 95% confidence interval for the average value of Y be narrowest? At what value will the 95% prediction interval for the value of Y for a single n ew observation be narrowest?

Chapter 12 Solutions

Introduction to Probability and Statistics

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