in predicting the man-day requirements for implementing large-scale programming projects. As part of a study on how to improve predict tions, the company asked 24 programmers to predict the number 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 forecasting errors (man-days predicted minus actual man-days) were: Amount of Experience Type of Experience Under 2 years 2-5 years More than 5 years Small-scale systems only 275 106 48 196 118 92 241 88 58 188 96 58 Large-scale systems 80 46 40 44 52 32 70 32 42 57 49 31 . DO NOT TRANSFORM the data for parts (a and b). (a) State the model you will use to analyze the effects of amount and type of experience on the forecasting error. (b) Test whether the factors have any main effects and whether they interact. Use a level of significance of .05 for each test. Write your ANOVA table. Present all the confidence intervals and summarize your results