2. Suppose we have the simple regression model Yi = + Xi+"i and their OLS coecient estimators a and b. Answer the following questions. (a) Suppose we multiply Xi by 1/2 for all i and do the OLS estimation again using 1 2Xi as the regressor (the independent variable). What will be your new estimators, denoted by ~a (intercept) and ~b (slope)? Compare them with the original OLS estimators a and b, respectively (b) Compare V ar[b] and V ar[~b]. Are they the same or di erent? Verify your answer (c) A t-statistic testing H0: = 0 is given by t(b) = b=S:E:(b). Show

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"we first find value of tax in dollars.

the difference between the two prices   is: 23. 54 - 22 = 1.54

therefore the sales tax in dollars is 1.54

the tax % will be   (amount of tax / original cost price ) × 100

(1.54 / 22) × 100  → (0.07) × 100 =   7

so the tax rate is 7%

we can double check the answer.

7 % of 22   → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54"

answer/// equals both average variable cost and average total cost at their respective minimums;

staple goods and impulse goods are examples of convenience products which consumers usually  buy. these products can be bought almost everywhere and are readily available for purchase. usually, the quality and price of the product are not considered. examples of staple goods are sugar and bread, while impulse goods examples are chocolates and magazine.