An experiment was designed for the Department of Materials Engineering at Virginia Polytechnic Institute and State University to study hydrogen embrittlement properties based on electrolytic hydrogen pressure measurements. The solution used was 0.1 N NaOH, the material being a certain type of stainless steel. The cathodic charging current density was controlled and varied at four levels. The effective hydrogen pressure was observed as the response. The data follow.

(a) Run a simple linear regression of y against x.

(b) Compute the pure error sum of squares and make a test for lack of fit.

(c) Does the information in part (b) indicate a need for a model in x beyond a first-order regression?Explain.

Charging Current Density, x ( mA/cm2) 0.5 Effective Hydrogen Pressure, y (atm) 86.1 Run 0.5 0.5 0.5 1.5 1.5 1.5 2.5 92.1 64.7 74.7 223.6 202.1 132.9 413.5 231.5 466.7 365.3 3 4 2.5 2.5 2.5 3.5 3.5 3.5 3.5 10 11 12 493.7 13 14 382.3 447.2 563.8 L5 iriricimr