Squirrel U Scientists are working hard, trying to discover what it is about the campus black squirrels that make them so lovable. One professor in the Biology department, Dr Laurel Sciuri, has a hypothesis: the campus trash cans are enriched with a diet of pizza crust and skittles, which mediates the expression of ADORBS-1, the gene linked to pigmentation and may be associated with lovability. But in order to get grant funding, Dr. Sciuri needs to collect some preliminary data. She collects two colors of squirrels: black and grey, and and assigns 3 of each color to one of four standard squirrel diets: pizza crusts, acorns, uprooted impatiens from behind the library, and skittles.

Long story short, the black squirrels eating a diet of skittles were indeed the most lovable, but in order to get the scientific community to recognize her work, Dr. Sciuri needs to interpret her two way ANOVA table:

Source of variation	df	Sum of Squares	Mean Square	F ratio	P value
Fur color		0.375
Diet		37.125
Interaction		52.125
Error
Total		109.625

To complete the questions on this quiz, fill out this table and look up the relevant critical values.

Okay, now that you've filled out the table, let's start with an easy one:what is the degrees of freedom associated with the error term?

What is the sum of squares associated with the error term?

What is thecritical Fvalue associated with theinteractionterm? (assuming = 0.05)

Which of the sources of variation were statistically significant at =0.05?