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A computer software organization was encountering serious problkems in predicting the man-day requirements for implementing large-scale programming projects. As part of a study on how to improve predic- tions, the company asked 24 programmers to predict the namber of man-days for a large project about to be undertaken. The program- mers were given full details about the specifications for the project. The programmers were classified by type of experience and amount of experience, and after the project was completed the forecasting er- rors were obtained. The forecast ing errs (man-days predicted minus actual man-days) were Amount of Experience of E scale systems Under 2 years 2-5 years More than 5 46 92 196 241 188 118 38 52 31 32 41 31 57 DO NOT TRANSFORM the data for parts (a and b). (a) State the model you will use to analyze the effects of amount and (b) Test whether the factors have any main ffects and whether they type of experience on the forecasting error interact. Use a levd of significance of 05 for each test. Write your ANOVA table. Present all the confidence intervals and summarize your results