# The time to failure of a machine component is related to ## Problem 49 Chapter 9

Introduction to Probability and Statistics for Engineers and Scientists | 5th Edition

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Problem 49

The time to failure of a machine component is related to the operating voltage (x1), the motor speed in revolutions per minute (x2), and the operating temperature (x3). A designed experiment is run in the research and development laboratory, and the following data, where y is the time to failure in minutes, are obtained. y x1 x2 x3 2,145 110 750 140 2,155 110 850 180 2,220 110 1,000 140 2,225 110 1,100 180 2,260 120 750 140 2,266 120 850 180 2,334 120 1,000 140 2,340 130 1,000 180 2,212 115 840 150 2,180 115 880 150 (a) Fit a multiple regression model to these data. (b) Estimate the error variance. (c) Determine a 95 percent confidence interval for the mean time to failure when the operating voltage is 125, the motor speed is 900, and the operating temperature is 160.

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Chapter 5 Bivariate Data­ two variables for on individual to find a relationship between one another When analyzing describe each variable and describe the relationship Explanatory variable­ X, used to predict, independent Response variable­ Y, dependent Scatterplot­ the variables measured by the same individual Linear relationship­ straight line Non­linear relationship­ a relationship...

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