A regression model is run. Shown below is a portion of the ANOVA table. What is the R-squared value for tis model? Enter your answer to 3 decimal places.
ANOVA | ||
df | SS | |
Regression | 1 | 64.496 |
Residual | 18 | 53.537 |
The regression sum of square here is given as: RSS = 64.496 and
therefore the residual sum of squares here is obtained as: SSE = 53.537
Therefore total sum of squares here is computed as: TSS = RSS + SSE = 64.496 + 53.537 = 118.033
The R-squared value for this model is computed here as:
R^{2} = Proportion of sum of squares of errors explained by regression
R^{2} = RSS / TSS = 64.496 / 118.033 = 0.54642
Therefore 54.642% that is 0.546 is the required R^{2} value here.
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