In an experiment to determine the factors affecting

Chapter 8, Problem 1E

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In an experiment to determine the factors affecting tensile strength in steel plates, the tensile strength (in kg/mm2), the manganese content (in parts per thousand), and the thickness (in mm) were measured for a sample of 20 plates. The following MINITAB output presents the results of fitting the model \(\text {Tensile strength}=\beta_0+\beta_1\text{ Manganese}+\beta_2 \text { Thickness}\).

a. Predict the strength for a specimen that is 10 mm thick and contains 8.2 ppt manganese.

b. If two specimens have the same thickness, and one contains 10 ppt more manganese, by how much would you predict their strengths to differ?

c. If two specimens have the same proportion of manganese, and one is 5 mm thicker than the other, by how much would you predict their strengths to differ?

Equation Transcription:

Text Transcription:

Tensile strength=beta_0+beta_1 Manganese+beta_2 Thickness

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