The Coefficient of Determination

question 28

Multiple Choice

The coefficient of determination

• A)takes values between -1 to +1.
• B)is equal to zero for a perfect fit.
• C)is equal to negative one for the poorest fit.
• D)is used to evaluate the goodness of fit.

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Definitions:

Test Statistic

A statistic calculated from sample data, used to decide whether to reject the null hypothesis in hypothesis testing.

Within-treatments Variation

The variability among experimental units that are exposed to the same level of treatment in an experiment.

Sum Squares Treatments (SST)

A measure used in statistics, especially in analysis of variance (ANOVA), to quantify the variability among group means in an experiment.

Sum Squares Error (SSE)

A measure of the discrepancy between the data and an estimation model, calculated as the sum of the squared differences between each observation and its group's mean.