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G Year 13 1959 3.41 0,7 4014 22123 271 1960 2.93 1.7 412 2261.7 1 23 10.60001 49.3999 -148 10260649 022084 1961 2.98 420.9 2309.8 1.38 8 899994 48.1001 1500001 -55 0213719 0210442 1962 2.78 440.9 2449.1 1.78 20 1 139 3 1 3999999 3999999 0 0464228 0585597 1963 3.16 13 459 2554 1 86 18.10001 104.8999 0800002 3800901 3 0402321 0419401 1964 3.55 1.3 1 474.7 2702.9 2.25 15 70001 148.8999 0. (1) Estimate the accelerator model by OLS, The estimated equation is: cinven,= COOP. A one-billion-dollar Increase in GDP the inventory Investment by approximately True or False: Or is statistically greater than zero at the 5% significance level, True FalseAdd the real Interest rate to the accelerator model In part (1). The estimated equation is: cinven, = GDP, + True or False: The sign of /2 indicates that the model does not contradict the economic theory that a rise in real interest rates leads to a decrease in inventories. True False True or False: /2 Is statistically different from zero at the 5% significance level. True False Add the first difference of the real interest rate to the accelerator model in part (1). The estimated equation is: cinven, GDP, + True or False: The level of the real interest rate, ro, has greater influence on the inventory investment than the first difference, cry, True FalseFor this exercise you will be using a variation of INVEN, which contains time series data giving information on real value of inventories in the United States, real Gross Domestic Product, real interest rate on 3 month T-bills, among other macroeconomic variables. The following section gives detailed information about the variables within the data set: VARIABLE DESCRIPTIONS, year = 1959-1995 13 - 3-month T-bill rate in = inflation rate; CPI inven = Inventories, 1992 dollars, billions Rup = GDP, 1992 dollars, billions 3 - real interest: D - inf cinven = inven - inven [f - 1] cgop - pop - gap [t - 1] Open any of the following data files to reference the data from INVEN_VI. Use the chosen data file to answer each of the following questions