Question

Given the following ANOVA table

Source	DF	SS
Regression	1	1800
Residual	16	900
Total	17	2700

The total variability in the Y observations that can be explained by this regression model is ______%. Round to one decimal point and do not include the % sign.

Answer 1

From the given table, we see that,

SS(residual) = 900 and SS(total) = 2700

We know that, the total variability in the Y observations that can be explained by this regression model is denoted by R squared.

R-squared = 1 - (SS(residual) / SS(total))

= 1 - (900/2700)

= 0.6667

= 66.67%

Answer : The total variability in the Y observations that can be explained by this regression model is 66.7 %.

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