5. A process critical characteristic, y, is thought to be linearly correlated to an upstream measurement, x. Five samples were measured for both x and y and the measurements in dB are shown in the table below. a. Evaluate the range of data and comment on the potential for correlation. b. Assess the correlation using simple linear regression. i. Plot the residuals and discuss them with respect to the assumptions of linear regression. ii. Show the ANOVA table and R2. Comment on the significance of the model ( = 0.05 ), including comments on the amount of explained variation versus unexplained variation. c. If the plant wants to prevent the critical characteristic y from exceeding 25dB(95% confidence), what limit should the plant place on the measurement x ? d. The same plant has a different process whose correlation has been evaluated and the data has been partially analyzed. Using the data in the ANOVA table below, fill in the missing values, calculate R2 and comment on the significance of the model (=0.05), including comments on the amount of explained variation versus unexplained variation