A consumer advocate examines whether the longevity of car batteries (measured in years) is affected by the brand name (factor A) and whether or not the car is kept in a garage (factor B). Interaction is suspected. The results are shown in the accompanying table.
Garage | Brand | Years |
Yes | A | 6 |
Yes | A | 8 |
Yes | A | 7 |
No | A | 6 |
No | A | 5 |
No | A | 5 |
Yes | B | 6 |
Yes | B | 6 |
Yes | B | 6 |
No | B | 5 |
No | B | 5 |
No | B | 5 |
Yes | C | 8 |
Yes | C | 10 |
Yes | C | 10 |
No | C | 6 |
No | C | 6 |
No | C | 7 |
Fit the full model with the interaction term and fill in the ANOVA table. (Round "Sum Sq", "Mean Sq", and "F value" to 3 decimal places and "p-value" to 2 decimal places.)
ANOVA | |||||
Source of Variation | Df | Sum Sq | Mean Sq | F value | Pr(>F) |
Garage | |||||
Brand | |||||
Garage:Brand | |||||
Residuals |
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