1. The production quantities and unit costs of a particular product of a factory are obtained as follows. By using the data; a. Determine the regression model of \( Y=a X^{b} \). Estimate the unit cost for a batch of 15 pieces. b. Determine the regression model of \( Y=a b^{X} \). Estimate the unit cost for a batch of 15 pieces. c. Determine the regression model of \( Y=e^{a+b X} \). Estimate the unit cost for a batch of 15 pieces.