Math Problem Statement
The coefficient of determination is:
2.786
0.701
0.679
Solution
The coefficient of determination, denoted as , is a measure of the proportion of the variance in the dependent variable (here, "grade") that is predictable from the independent variables.
From the provided output, the value of is given as 70.1%.
To report it as a decimal, the value is:
Thus, the correct value of the coefficient of determination is 0.701.
Would you like more details or have any questions?
Here are 5 related questions to explore further:
- What does the adjusted indicate?
- How is the degrees of freedom calculated in this context?
- What is the difference between and adjusted ?
- What does the value of represent in the output?
- Why is the coefficient of determination important in regression analysis?
Tip: Always compare and adjusted to understand the impact of additional predictors on the model's performance.
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Math Problem Analysis
Mathematical Concepts
Regression Analysis
Coefficient of Determination
Formulas
R² = SSR / SST
Theorems
Linear Regression
Suitable Grade Level
Undergraduate Level
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