Question

who is correct and why? shelby is correct because the line of best fit has a negative slope and the trend shows a decrease in y values as the x values increase. shelby is correct because the line of best fit matches the points as closely as possible with a weak correlation. ashik is correct because the points are a strong correlation to this nonlinear association. ashik is correct because points with a weak correlation can never have linear association.

Explanation:

Step1: Analyze the first graph

The first graph has a line of best fit with a negative slope. As \(x\) increases, \(y\) generally decreases. But the points are spread out, indicating a weak correlation. However, the line of best fit is linear.

Step2: Analyze the second graph

The second graph has a non - linear (parabola - like) curve of best fit. The points follow a non - linear pattern more closely. A non - linear association can have a strong correlation when the points closely follow the non - linear curve.

Since the second graph shows a non - linear association with points that are a strong correlation to the non - linear curve (Ashik's claim about non - linear strong correlation), while the first graph's linear fit has a weak correlation.

Answer:

Ashik is correct because the points are a strong correlation to this nonlinear association.