Question

analyze determine which line of fit shown is a better fit for the data in the scatter plot. justify your argument.

Explanation:

Step1: Recall Line of Fit Criterion

A better line of fit should have points evenly distributed (similar number above and below) and follow the trend.

Step2: Analyze Line \( g \) (Blue)

Check point distribution: Count points above/below \( g \). Points seem balanced (e.g., some above, some below, following the decreasing trend of data).

Step3: Analyze Line \( f \) (Green)

Line \( f \) is steeper; more points deviate (e.g., lower points are far below \( f \), upper points far above), so it’s less balanced.

Answer:

Line \( g \) is a better fit. It has the same number of points above and below the line, and it more closely follows the trend of the scatter plot data (compared to line \( f \), which is too steep and misrepresents the data’s distribution).