Question

analyzing and communicating scientific information: tutorial order the graphs based on their coefficient of determination, r². start with the lowest coefficient. graph 1 graph 2 graph 3 graph 4

Explanation:

Step1: Understand $R^{2}$ concept

The coefficient of determination $R^{2}$ measures how well the regression line fits the data points. A value of $R^{2}$ close to 0 means a poor - fit and a value close to 1 means a good - fit. Points that are more scattered around the line have a lower $R^{2}$.

Step2: Analyze Graph 1

In Graph 1, the points are quite scattered around the regression line, indicating a relatively low $R^{2}$.

Step3: Analyze Graph 2

In Graph 2, the points are somewhat scattered, but less so than in Graph 1.

Step4: Analyze Graph 3

In Graph 3, the points are closely clustered around the regression line, suggesting a high $R^{2}$.

Step5: Analyze Graph 4

In Graph 4, the points are more scattered than in Graph 3 but less so than in Graph 1.

Answer:

Graph 1, Graph 4, Graph 2, Graph 3