A motorist found that the efficiency of her engine could be increased by adding lubricating oil to fuel. She experimented with different amounts of lubricating oil and the data are Amount of lubricating oil (ml) 0 25 50 75 100 Efficiency (%) 60 70 75 81 84 (a) (10 points) Obtain the least squares fit of a straight line to the amount of lubricating oil. (b) (10 points) Test whether or not the slope β1 = 0. Take α = 0.05 as your level of significance. (c) (10 points) Construct a 90% confidence interval on the mean response at x0 = 10 ml. (d) (10 points) Give a point estimate of the mean engine efficiency when the amount of lubricating oil is 450 ml. (e) (10 points) What additional danger is there when using your estimate in part (d)?

A motorist found that the efficiency of her engine could be increased by adding lubricating oil to fuel. She experimented with different amounts of lubricating oil and the data are Amount of lubricating oil (ml) 0 25 50 75 100 Efficiency (%) 60 70 75 81 84 (a) (10 points) Obtain the least squares fit of a straight line to the amount of lubricating oil. (b) (10 points) Test whether or not the slope β1 = 0. Take α = 0.05 as your level of significance. (c) (10 points) Construct a 90% confidence interval on the mean response at x0 = 10 ml. (d) (10 points) Give a point estimate of the mean engine efficiency when the amount of lubricating oil is 450 ml. (e) (10 points) What additional danger is there when using your estimate in part (d)?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter23: Simulation With The Excel Add-in @risk

Section23.4: Reliability And Warranty Modeling

Problem 3P

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