Stock performance. The following table displays information for 470 of the S&P 500 stocks, on how their one-day change on a day on which the S&P 500 index gained 1.23% compared with their year-to-date change.

Year to Date Positive Change Negative Change Single Day Positive Change 164 233 Negative Change 48 25

a) What percent of the companies reported a positive change in their stock price over the year to date?

b) What percent of the companies reported a positive change in their stock price over both time periods?

c) What percent of the companies reported a negative change in their stock price over both time periods?

d) What percent of the companies reported a positive change in their stock price over one period and a negative change in the other period?

e) Among those companies reporting a positive change in their stock price over the prior day what percentage also reported a positive change over the year to date?

f) Among those companies reporting a negative change in their stock price over the prior day what percentage reported a positive change over the year to date?
g) What relationship, if any, do you see between the performance of a stock on a single day and its year-to-date performance?