The correct answers are the following:
Fact: neutral denotation
Happiness: positive connotation
Home: positive connotation
House: neutral denotation
Rose: positive connotation
Vegetation: neutral denotation
Word connotation refers to the feelings associated to a word. When word connotation is positive, it arouses pleasant emotions in the mind. On the other hand, if denotation is neutral it makes reference to the literal or primary meaning of a word, in contrast to the feelings and ideas that it conveys.