In speed golfing an athlete’s score is determined by adding the number of strokes to complete a course to the minutes required to finish. For example, $90$ strokes in $51$ minutes would be a score of $141$. The lower the score, the better. Diego wants to see if there is a relationship between the time, $t$, it takes for him to complete a speed golfing match and the number of strokes, s, he takes in the same match. If so, perhaps focusing on running faster will also reduce the number of strokes.   

1. Create a scatterplot with pencil and paper. Determine Diego’s best score and circle the point representing Diego’s best total score.

2. Describe the association from observation of the scatterplot.

   Hint (b):

   Does the linear association look strong? Are there any outliers?

3. Diego recalls that he was suffering from seasonal allergies that slowed his running on a particular course. Cross out that point. Then use your intuition and draw a line of best fit from the remaining points.

   Hint (c):

   Look for the outlier in this data. After this, draw the line that best fits the data.

4. Estimate the slope of your trend line and interpret it in the context of the problem.

   Hint (d):

   What are the units for the slope?

5. Should Diego train to reduce his time so that he sees a decrease in his golf score?

   Hint (e):

   Are the variables related closely enough for this claim to be certain?