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1. Professor Dunwoody has been a prolific writer. He was born in 1900 and prior to his death in 1999, he wrote nearly 500 books. As his career progressed, he became even more productive in terms of the number of books written within a given period of time. The data below is the time in months required to write his books in increments of 100. Number books, X {100, 200, 300, 400, 500} Time in months, Y {237, 350, 419, 465, 507} Write the regression model. Oy = 30 + 31X1 + 32X2 + B3X3 + & Oy = 30 + 31X1 + & Oy = 30 + 31X1 + 32X2 + 83X3 + 34X4 + 35X5 + & O none of these2. In order to study the relationship of advertising and capital investment with corporate profits, the following data, recorded in units of $500,000, were collected for 10 large firms in the same year. The variable y represents profit for the year, X1 represents capital investment, and X2 represents capital advertising expenditures. The data is given below. X1 X2 15 25 4 16 1 5 2 6 3 3 30 12 29 - 20 NAUAON- 16 12 18 15 13 3 2 16 Write the regression model. Oy = 30 + 31X1 + 32X2 + 83X3 + 34X4 + 35X5 + 36X6 + 37X7 + 38X8 + 39X9 + 310X10 + & Oy = 30 + 31X1 + & Oy = 30 + 31X1 + 32X2 + & O none of these