Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 10.3, Problem 26BSC
Regression and Predictions. Exercises 13–28 use the same data sets as Exercises 13–28 in Section 10-2. In each case, find the regression equation, letting tire first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5.
25. Gas Prices One gas station not included in the table below had a listed price of $2.78 for regular gas. Find the best predicted price of premium gas at this station. Is the result close to the actual price of $2.93 for premium gas?
| Regular | 2.77 | 2.77 | 2.79 | 2.81 | 2.78 | 2.86 | 2.75 | 2.77 |
| Mid-Grade | 3 00 | 2.77 | 2.89 | 2.93 | 2.93 | 2.96 | 2.86 | 2.91 |
| Premium | 3.07 | 3.09 | 3.00 | 3.06 | 3.03 | 3.06 | 3.02 | 3.03 |
26. Gas Prices Using the data from the preceding exercise, find the best predicted price for mid-grade gas for a station that posted $2.78 as the price of regular gas. Is the result close to the actual price of $2.84 for mid-grade gas?
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Problem 44
Marsha, a renowned cake scientist, is trying to determine how long different cakes can survive intense fork attacks before collapsing into crumbs.
To simulate real-world cake consumption, she designs a test where cakes are subjected to repeated fork stabs and bites, mimicking the brutal
reality of birthday parties. After rigorous testing, Marsha records 10 observations of how many stabs each cake endured before structural failure.
Construct P-P plots for (a.) a normal distribution, (b.) a lognormal distribution, and (c.) a Weibull distribution (using the information included in the
table below). Which distribution seems to be the best model for the cycles to failure for this material? Explain your answer in detail.
Observation
Empirical
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Cumulative distribution
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distribution F-1 (-0.5)
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Normal…
Chapter 10 Solutions
Essentials of Statistics (5th Edition)
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