Please read the following problem and answer the questions below (using software) : A manager of XY Company attempts to improve the quality of a hard disk drive. He has performed an experiment to consider the effect of four controllable factors on over write (larger the better) of a hard disk drive. The factors are as follows: (A) disk writability, (B) magnetization width, (C) gap length, and (D) rotational speed. Each controllable factor has two levels and each combination of the input factors is repeated two times. Then the response is measured. The data are given in the Table below: a. Estimate the factor effects on response. Which factor effect appear to be large? b. Conduct an analysis of variance. What are the factors that affect the variability in over writing? Use =0.05. c. Write down regression models that can be used to predict over writing as function of the significant main effects and interactions you have identified in part (b). d. Assume that the manger would like to reduce the variations in over write of a hard disk drive. What are the optimal factors levels that lead to the best response? e. Assume that the manger would like to reduce the variability in two desired responses which are over write (larger is better) and peak shift (smaller the better) of a hard disk drive. What are the optimal factors levels that lead to the best responses. The new data are given below