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- (A) Phoenix Lumber Company uses the number of construction permits issued to help estimate demand (sales). The firm collected the following data on annual sales and number of construction permits issued in its market area: No. of Construction Sales Year Permits Issued (000) (1,000,000) 2003 6.50 10.30 2004 6.20 10.10 2005 6.60 10.50 2006 7.30 10.80 2007 7.80 11.20 2008 8.20 11.40 2009 8.30 11.30 (a) Which variable is the dependent variable and which is the independent variable? (b) Determine the estimated regression line. (c) Calculate the coefficient of determination. Give an economic interpretation to the value obtained. (d) Suppose that 8,000 construction permits are expected to be issued in 2010. What would be the point estimate of Phoenix Lumber Company's sales for 2010? Q 3. (B) Following output for the multiple regression problem shows…here is a negative relationship between two variables if: they move in opposite directions. they move in the same direction. one variable changes and the other does not. neither variable moves.n one sentence, what does it mean for an estimator to be consistent? (Hint: you do not need to state the formal definition of consistency)
- Show that b ^β0 is an unbiased estimator of β0. (Hint: Use the fact that ^β1 isunbiased.You are buying boxes of donuts at a bakery. Each box of donuts costs $10. Which of the following statements are true? Choose all answers that apply: Group of answer choices A. The dependent variable is the number of boxes of donuts you buy. B. The independent variable is the number of boxes of donuts you buy. C. The dependent variable is the amount of money you spend on the donuts. D. The independent variable is the amount of money you spend on the donuts.Consider the following summary statistics of the variables x, y and z var(x) = 2.4, var(y)=3.2, var(z) =1.1 cov(x,y) = 3.1, cov(x,z) = 4.2, cov(y,z) = 8 What is the instrumental variable (IV) estimator of the effect of x on y when you use the variable z as an instrumental variable?
