Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis are the same for each scatter diagram.

(a) [tex]R^2 = 1[/tex]
(b) [tex]R^2 = 0.58[/tex]
(c) [tex]R^2 = 0.98[/tex]

(a) Scatter diagram:
- III
- II
- I

(b) Scatter diagram:
- II
- III
- I

(c) Scatter diagram:
- III
- I
- II

In a scatter diagram, the coefficient of determination (R2) represents the proportion of the variation in the dependent variable that can be explained by the independent variable(s).

In the given options, scatter diagram III corresponds to R2=1, indicating a perfect fit where all data points fall exactly on a line. This means that the dependent variable can be completely explained by the independent variable(s).

Scatter diagram I corresponds to R2=0.58, indicating a moderate fit where there is some variability in the data points around the fitted line. This means that 58% of the variation in the dependent variable can be explained by the independent variable(s).

Scatter diagram II corresponds to R2=0.98, indicating a strong fit where the data points are tightly clustered around the fitted line. This means that 98% of the variation in the dependent variable can be explained by the independent variable(s).

Learn more about dependent variable here:

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