Bundle: Probability and Statistics for Engineering and the Sciences, 9th + WebAssign Printed Access Card for Devore's Probability and Statistics for ... and the Sciences, 9th Edition, Single-Term
9th Edition
ISBN: 9781305779372
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 13.3, Problem 30E
The accompanying data was extracted from the article “Effects of Cold and Warm Temperatures on Springback of Aluminum-Magnesium Alloy 5083- H111” (J. of Engr. Manuf., 2009: 427–431). The response variable is yield strength (MPa), and the predictor is temperature (°C).
| x | -50 | 25 | 100 | 200 | 300 |
| y | 91.0 | 120.5 | 136.0 | 133.1 | 120.8 |
Here is Minitab output from fitting the quadratic regression model (a graph in the cited paper suggests that the authors did this):
a. What proportion of observed variation in strength can be attributed to the model relationship? b. Carry out a test of hypotheses at significance level .05 to decide if the quadratic predictor provides useful information over and above that provided by the linear predictor.
c. For a strength value of 100,
d. Use the information in (c) to predict strength for a single observation to be made when temperature is 100, and do so in a way that conveys information about precision and reliability. Then compare this prediction to the estimate obtained in (c).
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Chapter 13 Solutions
Bundle: Probability and Statistics for Engineering and the Sciences, 9th + WebAssign Printed Access Card for Devore's Probability and Statistics for ... and the Sciences, 9th Edition, Single-Term
Ch. 13.1 - Suppose the variables x = commuting distance and y...Ch. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Prob. 4ECh. 13.1 - As the air temperature drops, river water becomes...Ch. 13.1 - The accompanying scatterplot is based on data...Ch. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - Consider the following four (x, y) data sets; the...Ch. 13.1 - a. Show that i=1nei=0 when the eis are the...
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