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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 is a set of coded experimental data on the two variables: Normal Stress, x (MPa) Shear Resistance, y (MPa) 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) Determine the equation of the best fit line that relates the normal stress and the shear resistance of the metal specimen. Evaluate the standard deviation as well. (b) Predict the magnitude of the normal stress acting on the metal specimen provided that its shear resistance is 25.0 MPa. (c) Predict the magnitude of the shear resistance of the metal specimen if a normal stress of 28.0 MPa is acting on it