A glass bottle manufacturing company has recorded data on the average number of defects per 10,000 bottles due to stones and the number of weeks since the last furnace overhaul. The data are shown in the following table5 where :1: denotes the number of weeks, and 3; denotes the number of defects per 10,000 bottles. y 13.0 16.1 14.5 17.8 22.0 27.4 16.8 34.2 65.6 40.2 66.2 81.2 87.4 114.5 a: 4 5 6 7 8 9 10 11 12 13 14 15 16 17 {8.} Fit a straight line regression model and check for model adequacy. (b) Suggest an appropriate transformation (such as log[y)) to eliminate the problems encountered in part (a). Fit the transformed mode] and check for model adequacy. (C) Use the robust estimation method to t the model in part (b). Are there possible outliers? (d) State the tted models in part (b) using the LSE and the robust estimation method, respectively