Question

1. a. what type of relationship does this graph suggest? b. what variables would you plot to linearize the data?

Explanation:

Step1: Analyze the graph shape

As the age (x - variable) increases, the number of accidents (y - variable) seems to increase at an increasing rate, which suggests a non - linear, likely quadratic relationship.

Step2: Recall linearization methods

For a quadratic relationship of the form $y = ax^{2}+bx + c$, if we want to linearize it, we can plot $y$ against $x^{2}$.

Answer:

a. A non - linear (likely quadratic) relationship.
b. Plot the number of accidents against the square of age.