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ANOVA for regression analysis

13.3 Refer to the ANOVA table for this regression. (a) State the degrees of freedom for the F test for
overall significance. (b) Use Appendix F to look up the critical value of F for α = .05. (c) Calculate
the F statistic. Is the regression significant overall? (d) Calculate R2 and R2
adj, showing your
formulas clearly. PlasmaTV

Source d.f. SS MS

Regression 4 259, 412 64,853
Error 45 224, 539 4,990
Total 49 483,951

13.4 Refer to the ANOVA table for this regression. (a) State the degrees of freedom for the F test for
overall significance. (b) Use Appendix F to look up the critical value of F for α = .05. (c) Calculate
the F statistic. Is the regression significant overall? (d) Calculate R2 and R2
adj, showing your
formulas clearly.

Source d.f. SS MS
Regression 3 1,196,410 398,803
Error 26 379,332 14,590
Total 29 1,575,742

( I think this is the chart I am suppose to refer)

Anova: Single Factor

SUMMARY
Groups Count Sum Average Variance
AYNOR 4 51 12.75 0.916667
LORIS 4 46 11.5 1.666667
LANDER 5 85 17 0.5

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 76.25 2 38.125 39.10256 1.873E-05 4.102816
Within Groups 9.75 10 0.975

Total 86 12

Solution Summary

The solution provides step by step method for the calculation of ANOVA for regression analysis . Formula for the calculation and Interpretations of the results are also included.

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