2. An agricultural economist used sample data to estimate the following demand equation: In(y) = Bo + B, In(x, ) + B2 In(x2 ) + B, In(x, ) + B, In(x4 ) + & where y is the amount of beef consumed in tons per year x1 is the price of beef in dollars per pound x2 is the price of pork in dollars per pound x3 is the price of chicken in dollars per pound x4 is average annual household income in thousands of dollars. This estimation produced the following results: Variable Coefficient Std. Error p-value Constant -0.024 0.019 0.124 Beef price -0.529 0.168 0.002 Pork price 0.217 0.103 0.023 Chicken price 0.193 0.106 0.041 Income 0.416 0.163 0.009 (a) Identify and interpret the slope coefficient associated with the price of beef. (b) Identify and interpret the slope coefficient associated with the price of pork. (c) Identify and interpret the slope coefficient associated with the price of chicken. (d) Identify and interpret the slope coefficient associated with income. (e) Construct and conduct appropriate hypothesis tests to determine which of the slope coefficients are statistically significant at the 1% level of significance