2 An article in Wear presents data on the fretting wear of mild steel and oil viscosity. Representative data follow with X: oil viscosity and Y: wear volume 10-4 cubic millimeters. X 240 181 193 155 172 110 113 75 94 Y 1.6 9.4 15.5 20 22 35.5 43 40.5 33 (i) Construct a scatter plot. Does a simple linear regression model appear to be plausible? (ii) Find the correlation (iii) Fit the simple linear regression model. (iv) Find the estimate of o. (v) Predict fretting wear when viscosity 36. (vi) Obtain the fitted value of fretting wear when viscosity is 110 and calculate the corresponding residual. (vii) Estimate the standard error of the slope and intercept 1 (viii) Test the significance of the regression. What is the p-value for the test?