C7.13 Use the data in APPLE.RAW to answer this question. (i) Define a binary variable as ecobuy = 1 if ecolbs 0 and ecobuy = 0 if ecolbs 0. In other words, ecobuy indicates whether, at the prices given, a family would buy any ecologically friendly apples. What fraction of families claim they would buy ecolabeled apples? (ii) Estimate the linear probability model CALE ecobuy = B+ Becopre + Bregpre + Bfamine + B hhsize + Beduc + Bage + u, and report the results in the usual form. Carefully interpret the coeffi- cients on the price variables. (iii) Are the non-price variables jointly significant in the LPM? (Use the usual F statistic, even though it is not valid when there is heteroskedas- ticity.) Which explanatory variable other than the price variables seems to have the most important effect on the decision to buy ecolabeled apples? Does this make sense to you? (iv) In the model from part (ii), replace famine with log(famine). Which model fits the data better, using famine or log(faminc)? Interpret the coefficient on log(famine). In the estimation in part (iv), how many estimated probabilities are neg- ative? How many are bigger than one? Should you be concerned? (vi) For the estimation in part (iv), compute the percent correctly predicted for each outcome, ecobuy = 0 and ecobuy = 1. Which outcome is best predicted by the model? BEVI