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...

Extracted 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