Asked by victor koskei on Jun 05, 2024
Verified
The following information regarding a dependent variable (y) and an independent variable (x) is provided. SSE = 1.9
SST = 6.8
The coefficient of determination is
A) .8489.
B) -.7206.
C) .7206.
D) .375.
Coefficient Of Determination
A measure used in statistical analysis that assesses how well data points fit a line or curve, often symbolized as R^2.
Dependent Variable
A variable in a scientific experiment that is affected by another variable, called the independent variable, and is measured or observed.
Independent Variable
A variable in an experiment or model that is manipulated or changed to observe its effect on a dependent variable.
- Master and evaluate the coefficient of determination and its meaning.
Verified Answer
R-squared = SSR/SST
where SSR = SST - SSE (unexplained variation)
Using the provided values:
SSR = SST - SSE = 6.8 - 1.9 = 4.9
R-squared = SSR/SST = 4.9/6.8 = 0.7206
Therefore, the coefficient of determination is 0.7206 or approximately 72.06%. The best choice is C.
Learning Objectives
- Master and evaluate the coefficient of determination and its meaning.
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