Modeling offensive ability Ill No. 4, Fall 2000 (Table 2). 4.6 Earnings of Mexican street vendors. Detailed interviews were conducted with over 1,000 street vendors in the city of Puebla, Mexico, in order to study the factors influencing vendors' incomes (World Development, February 1998). Vendors were defined as individuals working in the street, and included vendors with carts and stands on wheels and excluded beggars, drug dealers, and prostitutes. The researchers collected data on gen- der, age, hours worked per day, annual earnings, and education level. A subset of these data appears in the accompanying table. (a) Write a first-order model for mean annual earnings, E(y), as a function of age (x1) and hours worked (x2).STREETVEN VENDOR ANNUAL HOURS WORKED NUMBER EARNINGS y AGE X1 PER DAY X2 29 21 $2841 12 53 1876 21 8 62 60 2934 10 184 1552 18 the 10 263 3065 40 281 3670 50 354 2005 65 4017 3215 44 515 1930 1 17 633 2010 70 677 3111 710 2882 29 614 800 1683 15 1817 10 14 997 Alliesge 4066 12 Source: Adapted from Smith, P. A., and Metzger, M. R. "The return to education: Street vendors in Mexico," World Development, Vol. 26, No. 2, Feb. 1998, pp. 289-296. (b) The model was fit to the data using SAS. Find the least squares prediction equation on the printout shown below. (c) Interpret the estimated $ coefficients in your model. (d) Conduct a test of the global utility of the model (at a = .01). Interpret the result. (e) Find and interpret the value of R2. (f) Find and interpret s, the estimated standard deviation of the error term. The Of (g) Is age (x1) a statistically useful predictor of 0 10" annual earnings? Test using a = .01. (h) Find a 95% confidence interval for B2. Inter- pret the interval in the words of the problem.\f\f\f\f\f\f\f