Question

1. the scatter - plot shows the finishing times for the olympic gold medalist in the mens 100 - meter (m.) dash for the olympic games since 1960.

a. dana says that the strength and direction of the linear association between the two variables is moderately negative. explain whether you agree with dana.
i do not agree with dana because it would be a strong negative linear association.
b. the equation of the line of best fit shown on the scatter plot is f(x)=10.2217 - 0.0098x, where f is the finishing time of the olympic gold medalist in the mens 100 - m dash and x is the number of years since 1960.

Explanation:

Step1: Analyze scatter - plot

The points on the scatter - plot are closely clustered around the line of best - fit.

Step2: Determine association direction

As the number of years since 1960 (x) increases, the finishing time (y) decreases, indicating a negative association.

Step3: Evaluate association strength

The close clustering of points around the line implies a strong linear relationship.

Answer:

a. I do not agree with Dana. The linear association is strong negative because the points are closely clustered around the line of best - fit and as the years since 1960 increase, the finishing time decreases.
b. The y - intercept of the linear equation \(f(x)=10.2217 - 0.0098x\) is 10.2217. This represents the predicted finishing time of the Olympic gold medalist in the men's 100 - m dash in the year 1960 (when \(x = 0\)).