Math Problem Statement
The coefficient of determination = ____.
0.671
0.71
0.654
Solution
From the image, the coefficient of determination (denoted as ) is clearly provided as:
This percentage can be converted into a decimal form by dividing by 100, giving:
Therefore, the correct value for the coefficient of determination is 0.671.
Would you like a detailed explanation of how this value is interpreted or calculated?
Here are 5 related questions that can deepen your understanding:
- What does the value represent in linear regression?
- How does the adjusted differ from , and why is it important?
- What does the T-statistic indicate in regression analysis?
- Why is the coefficient of determination important in evaluating a model's performance?
- How do you interpret the regression equation in the context of this output?
Tip: indicates the proportion of variance in the dependent variable explained by the independent variable(s) in the model.
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Statistics
Coefficient of Determination
Formulas
R^2 = 1 - (SS_res / SS_tot)
Theorems
Coefficient of Determination (R^2)
Suitable Grade Level
Grades 10-12
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