The true relationship between y and three explanatory variables x can be written as follows:

y bob1xı + b2x23x3 u

however, you do not have access to the variables x1 and x2 in your data, so you estimate:

y = b3x3 + n

the relationship between the omitted variables and x3 can be expressed as follows:

601x3 + e3 x1 x2 = wo +w1x3 + €2

a) derive the expression for bo* and b3*
b) suppose that b1< 0 and b2> 0. now suppose that x3 is positively correlated with both x1 and x2. is b3 upward or downward biased. explain
c) suppose that y is income, xı is iq, x2 is work ethic, and x3 is years of education. argue that the estimate b3* is upward or downward biased using the expression you derived in part a)
d) what are two reasons why iq and work ethic might be omitted from the regression?

Daniel owns 100 shares of abc corporation's common stock. abc uses the fair value option, and recent declines in the firm's credit rating have caused the value of the firm's outstanding bonds payable to drop by 10%. daniel feels this is good news, but he wants to know what you think about the situation. which of the following represents your best response? a : "this situation may be positive for you in that the change in abc's credit standing indicates that the value of the firm's assets is likely increasing. however, the drop in bond value may negate any positive effects on your bottom line, because it means your claim on the firm's assets is simultaneously decreasing." b : "actually, this is bad news all around. the drop in the value of abc's bonds payable means shareholders' claims on the firm's assets have decreased. moreover, abc's declining credit rating means that the firm's assets are probably also dropping in value, thus magnifying your losses even more." c : "on the surface, this seems like good news because it means your claim on the firm's assets has increased. however, the drop in creditworthiness may also indicate that abc's assets are declining in value, thus offsetting any gains associated with the drop in bonds payable." d : "you're right! this is good news because it means that abc's debtholders have a decreased claim on the firm's assets. as a result, the firm's existing shareholders"like you"have seen their claim on the firm's assets increase."

Kiona co. set up a petty cash fund for payments of small amounts. the following transactions involving the petty cash fund occurred in may (the last month of the company's fiscal year). may 1 prepared a company check for $350 to establish the petty cash fund. 15 prepared a company check to replenish the fund for the following expenditures made since may 1. a. paid $109.20 for janitorial services. b. paid $89.15 for miscellaneous expenses. c. paid postage expenses of $60.90. d. paid $80.01 to the county gazette (the local newspaper) for an advertisement. e. counted $26.84 remaining in the petty cashbox. 16 prepared a company check for $200 to increase the fund to $550. 31 the petty cashier reports that $380.27 cash remains in the fund. a company check is drawn to replenish the fund for the following expenditures made since may 15. f. paid postage expenses of $59.10. g. reimbursed the office manager for business mileage, $47.05. h. paid $48.58 to deliver merchandise to a customer, terms fob destination. 31 the company decides that the may 16 increase in the fund was too large. it reduces the fund by $50, leaving a total of $500.

Which of the following is one of the advantages primarily associated with a performance appraisal? (a) it protects employees against discrimination on the basis of race. (b) it motivates employees to work on their shortcomings. (c) it encourages employees to play the role of the whistle-blower. (d) it accurately measures the resources of the firm.