In a study similar to that described in Exercise 3.4, the researcher recorded the batch size, and the time per unity, in hours for that batch as shown in the following table: 1 Data for Exercise 3.5 2 3 4 5 % 1.71 1.00 0.64 0.48 0.41 1.99 0.85 0.66 0.46 0.38 1.68 0.83 0.60 0.47 039

a. Fit the linear model y=+2+e and determine a prediction interval 2-3 Examine the (x,y)-scatter-plot, the residual plot, the normal probability plot, and the plot of , against y, to see if a transformation is indicated. Use the Box-Cox method and the Atkinson method to find a power transformation.

e. Fit the simple linear regression model using the reciprocal z = 1/y, as the response, and examine it for adequacy. What are the units of this new variable. Determine a 95% prediction interval for y at x=3.