A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and

records for each the company's current stock price and the company's earnings per share reported for the past $12$ months. Her data are given below, with $x$

denoting the earnings per share from the previous year, and $y$ denoting the current stock price $($both in dollars$).$ Based on these data, she computes the least$-$

squares regression line to be hat$(y)=-0\mathrm{.}078+0\mathrm{.}041x.$ This line, along with a scatter plot of her data, is shown below.

Based on the analyst's data and regression line, complete the following.

$($a$)$ For these data, current stock prices that are greater than the mean of the current stock prices tend to be paired with

values for earnings per share that are $($Choose one$)(2)$ the mean of the values for earnings per share.

$($b$)$ According to the regression equation, for an increase of one dollar in earnings per share, there is a corresponding

increase of how many dollars in current stock price?