You have the results of a simple linear regression based on state-level data and the District of Columbia, a total of N ¼ 51 observations. (a) The estimated error variance ^s2 ¼ 2:04672. What is the sum of the squared least squares residuals? (b) The estimated variance of b2 is 0.00098. What is the standard error of b2? What is the value of ðxi xÞ2? (c) Suppose the dependent variable yi ¼ the state’s mean income (in thousands of dollars) of males who are 18 years of age or older and xi the percentage of males 18 years or older who are high school graduates. If b2 ¼ 0:18, interpret this result. (d) Suppose x ¼ 69:139 and y ¼ 15:187, what is the estimate of the intercept parameter? (e) Given the results in (b) and (d), what is x2i ? (f) For the state of Arkansas the value of yi ¼ 12:274 and the value of xi ¼ 58:3: Compute the least squares residual for Arkansas. (Hint: Use the information in parts (c) and (d).).