The table below is from Munson, et al. (2005) \"Relationships Between Nonword Re

Question

The table below is from Munson, et al. (2005) "Relationships Between Nonword Repetition Accuracy and Other Measures of Linguistic Development in Children With Phonological Disorders, Journal of Speech, Language, and Hearing Research." In this study, regression statistics were performed to analyze the ability of accuracy in real words to predict accuracy in non-words in two types of children, those who are typically developing and those who have phonological disorders. In this study, the dependent variables are "Mean accuracy" and "Frequency effect." The independent variables are "GFTA" and "Vocabulary size." There are two types of subjects: those with phonological disorders (PD) and children with typical development (TD). The R^2 suggests that GFTA accounts for how much of the variance of mean accuracy among PD subjects? 40.1% None of the above

Explanation / Answer

Answer:

In a linear regression model, R2 (R-squared) is the “percent of variance explained” by the model. R-squared measures the closeness of the data to the fitted regression line. It is also known as the coefficient of determination. R2 indicates the percentage of the response variable variation that can be explained by a linear regression model.

In the given data, R2 corresponding to GFTA (for the mean accuracy of the PD subjects) is 0.362 that corresponds to 36.2% variance explained by the model.

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