Question

The data below shows the points scored and minutes played by six basketball players during the 2004-2005 season. The least squares regression line for the data is y=.79x+1544Question:1. Explain the slope in context of this problem....2. Using the equation from above, estimate how many points a player would score if they have played a total of 1000 minutes....

Answer 1

The given equation is

$y=0.79x+1544$

The slope is the relation between the number of points scored and the minutes played. In this case, it means, on average, they scored 0.79 points per minute.

If a player has played 1,000 minutes, so the scored points would be

$\begin{gathered} y=0.79(1,000)+1,544 \\ y=790+1,544 \\ y=2,334 \end{gathered}$

Therefore, that player would score 2,334 points in total.