Question: The production manager of a factory would like to develop a model to predict performance time for a manual assembly task based upon the amount of time spent in training. A sample of 18 recent employees was selected; the training time in hours and the performance time in minutes are presented below:

a) Set up a scatter diagram and interpret the relationship indicated by the scatter diagram.

b) Assuming a linear relationship, use the least-squares method to compute the regression coefficients (a = y-intercept; b = slope).

c) Interpret the meaning of the slope.

d) Predict the performance time when the training time is 20 minutes (based on your estimated equation).

e) Identify and interpret the standard error of the estimate.

f) Identify and interpret the coefficient of determination.

g) Identify and interpret the coefficient of correlation.