Coach Jill keeps statistics on the performance of the starting line of the hockey team she coaches. Recently, she compiled data from the first few games of the season to see how the number of goals made by each member of the team depends on the number of shots taken. Then, Coach Jill calculated a line of best fit. The equation for the line of best fit is \( y=\frac{2}{3} x+\frac{7}{10} \). What does the slope tell you? Taking 10 more shots results in about 7 more goals. Each member of the starting line has made about \( \frac{7}{10} \) of her shots. Taking 3 more shots results in about 2 more goals. About \( \frac{2}{3} \) of the starting line has scored a goal this season. Ther Ther Ther

The slope of the line of best fit, \(\frac{2}{3}\), indicates that for every additional shot taken, the team is expected to score approximately two-thirds of a goal. This relationship suggests that increasing the number of shots can effectively lead to more goals, emphasizing the importance of shooting accuracy in scoring. Moreover, analyzing this graphically can reveal that as the shots taken increase, so does the potential for scoring goals. This highlights the necessity for players to be actively shooting and taking opportunities, as the data shows a positive correlation between attempts and goals scored. A fun way to think about this could be: the more you shoot, the more you score – like taking your favorite shots at karaoke night!