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$).$ A scatter plot of her data is shown in Figure $1.$

Also given is the product of the earnings per share and the current stock price for each of the fifteen stocks. $($These products, written in the column labelled $"xy$

$",$ may aid in calculations.$)$

What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least

three decimal places. $($If necessary, consult a list of formulas.$)$