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1. In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following data is a set of coded experimental data on the two variables: Normal stress Shear stress 26.8 26.5 25.4 27.3 28.9 24.2 23.6 27.1 27.7 23.6 23.9 25.9 24.7 26.3 28.1 22.5 26.9 21.7 27.4 21.4 22.6 25.8 25.6 24.9 a. Validate the claim that the shear stress is influenced by the normal stress by testing the linear correlation of the two variables. b. If there is a linear correlation, based on your computation in letter (a), construct a simple linea regression model. Otherwise, disregard this question and the next question. c. Estimate the shear resistance when the normal stress is 25.0

1. In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following data is a set of coded experimental data on the two variables: Normal stress Shear stress 26.8 26.5 25.4 27.3 28.9 24.2 23.6 27.1 27.7 23.6 23.9 25.9 24.7 26.3 28.1 22.5 26.9 21.7 27.4 21.4 22.6 25.8 25.6 24.9 a. Validate the claim that the shear stress is influenced by the normal stress by testing the linear correlation of the two variables. b. If there is a linear correlation, based on your computation in letter (a), construct a simple linea regression model. Otherwise, disregard this question and the next question. c. Estimate the shear resistance when the normal stress is 25.0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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1. In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following data is a set of coded experimental data on the two variables: Normal stress Shear stress 26.8 26.5 25.4 27.3 28.9 24.2 23.6 27.1 27.7 23.6 23.9 25.9 24.7 26.3 2 26.9 21.7 27.4 21.4 22.6 25.8 25.6 24.9 a. Validate the claim that the shear stress is influenced by the normal stress by testing the linear correlation of the two variables. b. If there is a linear correlation, based on your computation in letter (a), construct a simple linear regression model. Otherwise, disregard this question and the next question. c. Estimate the shear resistance when the normal stress is 25.0
Transcribed Image Text:1. In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following data is a set of coded experimental data on the two variables: Normal stress Shear stress 26.8 26.5 25.4 27.3 28.9 24.2 23.6 27.1 27.7 23.6 23.9 25.9 24.7 26.3 2 26.9 21.7 27.4 21.4 22.6 25.8 25.6 24.9 a. Validate the claim that the shear stress is influenced by the normal stress by testing the linear correlation of the two variables. b. If there is a linear correlation, based on your computation in letter (a), construct a simple linear regression model. Otherwise, disregard this question and the next question. c. Estimate the shear resistance when the normal stress is 25.0
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