2. Suppose you want to quantify the effect of the distance to a grocery store (in miles) on property value (in thousands of dollars). Let Bo denote the intercept of the population regression line, B denote the slope coefficient, and u; denote the error term (a) Write down the population regression equation in which we assume there is a linear relationship between the two variables. (b) Suppose we use OLS to estimate the coefficients. What is the difference between B and B ? (c) What is the difference between u and ? (d) Suppose the slope of the regression line is -4. Interpret this value. (e) Suppose the slope of the regression line is -4. If property A is 2.5 miles closer to a grocery store than property B, what is difference in the values of the two properties? Explain. (f) Suppose the intercept is 187, the slope is still -4, and no other factors affect property value other than the distance to a grocery store. What is the value (in dollars) of a property that is 1.5 miles from a grocery store?