Ch7Q1
Equation (1) depicts the regression line, where y is the price index and x is the money supply to real GDP ratio.
(1)
Ch7Q2 Equation 7.1 With, the equation becomes as illustrated in Equation (2).
(2) Equation 2 has larger elasticities in the Change in Log of Money Supply Ratio to Real GDP and Change in Log of (M/Y) terms. The elasticities of the terms in the two equations, however, are not appreciably different.
Ch9Q1
The regression lines are shown in Equations (3), (4), (5) and (6) where y is the per capita total expenditure and x1, x2, x3, and x4 are the food, clothing, housing and fuel, and other items categories of per capita expenditure.
()
(4)
(5)
(6)
Comparing Equations (3), (4), (5) and (6) with Equations (9.2a) to (9.5a), the elasticities in Equations (3), (4), (5) and (6) are higher.
Ch9Q2
The main assumptions in the two equations are as follows (Greene, 2012):
The models assume a linear relationship between the dependent variables and the independent variables
The models assume that the independent variables are exogenous.
In determining the parameters of the model, there is an assumption that there is no exact linear relationship of the independent variables
The models also assume nonautocorrelation and homoscedasticity
The independent and dependent variables are normally distributed
Ch9Q3:
The second equation provides a more detailed description of the expenditure on a certain commodity as it encompasses the total consumption expenditure, and the size of the family as opposed to the first equation which only describes the consumption of a certain commodity as a function of the total expenditure.
References
Greene, W. (2012). Econometric Analysis (7th ed.). New York, NY: Pearson Education Limited.