Problem 1: I have uploaded data (PCE-PDI.xIs) for the US total personal consumption expenditures and total disposable income from 1971:1 to 2009:7. Divide the entire sample into two subsamples: 1971:01 to 1985:12 and 1986:01 to 2009:07. Here consumption expenditure (PCE) is the dependent variable and disposable income (PDI) is the independent variable. Let variable Y denotes consumption expenditure and variable X denotes disposable income. (a) Estimate a two-variable regression model for both subsamples and report the estimated results. (10) (b) Interpret the estimated values of Beta in each sample. Why do you think that that the estimated values of Beta are different in these two subsamples? Explain. (Hint: There may not be any correct answer to this. I just want to know your opinions) (10) Problem 2: Consider the following estimated demand function for chicken for a household in Fullerton, California over a period of 25 months. Q, = 56.09 -0.19P, + 0.03P, SE=(29.18) (-0.07) (0.019) R2 = 0.81 and Radi = 0.805 Number of observations = 25 Here, Q, is the quantity demanded for chicken (in pound), P, is the price of chicken (in $), PP is the price of pork (in $). of the dim (a) Interpret the values of R-square and R-square adjusted. (10) (b) Calculate t statistics for all the estimated coefficients of this regression model. (10) (c) Determine whether the estimated coefficients are statistically significant at the 1% or or 10% level of significance