Answer:
Quantitative, categorical, continuous, quantitative, categorical, quantitative
Explanation:
Tag number will be quantitative, as it is giving the dog a particular number.
Breed will be categorical, as it dividing the dogs in different categories.
Weight (in lbs) will be continous as weight can have infinite values.
Age will be quantitative, as age is a numeric value.
Size will be categorical, as its dividing the dogs in different categories of small, medium or large dog
Cuteness will be a quantitative value, as you are rating them from 1 to 5.