Question

A cat breeder is interested in what specific attributes people like most about cats. Specifically, they are interested to see whether the gender and color (black, white, orange, or other) have a significant impact on the popularity of the cat. The predictor variables are defined as follows:

?₁={1 if female 0 if male,

?₂={1if black 0 otherwise,

?₃={1if white 0 otherwise,

?₄={1if orange 0 otherwise

A regression model was fit and produced the following results:
?̂=23.41 + 4.67?₁ − 1.3?₂ + 2.13?₃ + 6.87?₄

a) What is the estimated popularity for an orange female cat?
?̂= ________

b) What is the estimated popularity for a black male cat?
?̂= _______

c) Is a calico cat more popular as a female or male?
Female calico: ?̂= ______
Male calico: ?̂= ______

Which is more popular?
male OR female

Please show work for ALL parts

Answer 1