Consider the following estimated OLS regression capturing relationship between weight loss and distance walked (values in round brackets are the estimated t-statistics): weight = -0.65 8.2 In (walk) + 0.35calorie (-9.028) (-3.04) %3D (6.604) R? = 0.53 where weight is person's weight in kilograms, walk is distance walked in km per day, calorie is number of calories consumed in thousands per day i. Interpret the coefficient on In(walk). Explain what can we capture by using In(walk) in the model instead of just using walk. ii. Is the observed negative relationship between In(walk) and weight justifiable a priori? iii. Comment on R2. Is it too "low"? iv. Can you compute the standard errors of the regression coefficients based on the regression output provided?