## Does the returns for Olympic stock increase with the DVWR returns

Under the model, the returns for Olympic stock increase with the DVWR returns; because the scale of the equation increases with increasing DVWR, the errors are likely also to increase, making the model heteroscedastic. Apart from a loss of efficiency in estimating the coefficients (which is not relevant here since we assumed that the coefficients were estimated without error), the effect is to overstate the precision of the Olympic stock price regression prediction when DVWR is in the high range; as a result, the model is even less powerful in that range than it appears to be. However, since the prediction interval, as calculated, is so wide, the fact that it should in some contexts be even wider is of little importance.

### What is the probability that the parcel was shipped express and arrived the next day?

1.  In a lot of n components, 30% are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective,….

### Given that the test is positive, what is the probability that the person has the disease?

1.  Refer to Exercise 28. Assume that both inspectors inspect every item and that if an item has no flaw, then neither inspector will detect a flaw. a.  Assume that….

### If a man tests negative, what is the probability that he actually has the disease?

1.  Refer to Example 2.26. a.  If a man tests negative, what is the probability that he actually has the disease? b.  For many medical tests, it is standard procedure….