You wish to estimate as precisely as possible the slope in a straight line regression model y = + x + e: each pair of observations (x; y) costs $ 1: 00 and your budget is $ 4: 00. a data analyst proposes that you consider one of the following two options: (a) make two y-observations at x = 1 and a further two at x = 4; (b) make one y-observation at each of the points x = 1; 2; 3 and 4. which of the two options would give you the most bang for your bucks? show a relevant calculation to justify your choice.

The following account balances at the beginning of january were selected from the general ledger of fresh bagel manufacturing company: work in process inventory $0 raw materials inventory $ 28 comma 100 finished goods inventory $ 40 comma 600 additional data: 1. actual manufacturing overhead for january amounted to $ 65 comma 000. 2. total direct labor cost for january was $ 63 comma 400. 3. the predetermined manufacturing overhead rate is based on direct labor cost. the budget for the year called for $ 255 comma 000 of direct labor cost and $ 382 comma 500 of manufacturing overhead costs. 4. the only job unfinished on january 31 was job no. 151, for which total direct labor charges were $ 5 comma 200 (1 comma 300 direct labor hours) and total direct material charges were $ 14 comma 400. 5. cost of direct materials placed in production during january totaled $ 123 comma 700. there were no indirect material requisitions during january. 6. january 31 balance in raw materials inventory was $ 35 comma 300. 7. finished goods inventory balance on january 31 was $ 35 comma 400. what is the cost of goods manufactured for january?

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Suppose a country's productivity last year was 84. if this country's productivity growth rate of 5 percent is to be maintained, this means that this year's productivity will have to be: