In a table summarizing the results of a regression analysis, the adjusted r-squa

Question

In a table summarizing the results of a regression analysis, the adjusted r-squared statistic is reported as r2 = 0.42. This means that: a. The dependent variable (DV) explains at least 42 percent of the variance in the independent variables (IVs). b. The last IV entered into the equation increases the amount of variance in the DV that we can explain by 42 percent. c. 58 percent of the variance in the DV is not explained by the total variance in the IVs. d. The percent of the variance explained would be considerably lower were the unadjusted r-squared used.

Explanation / Answer

We know that R-squared measures the proportion of the variation in your dependent variable (DV) explained by your independent variables (IVs) for a linear regression model. It indicates how well the model fits the data. Also Adjusted R-squared adjusts the statistic based on the number of independent variables in the model.

Also we know that R-squared is always greater than Adjsuted R-squared.

Thus Adjusted R-squared of 0.42 means that the dependent variable (DV) explains at least 42 percent of the variance in the independent variables (IVs).Hence correct option is option A.

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