Kitchen remodeling is a popular way to improve the value of a home. (a) If denotes the amount spent for labor and the cost for new appliances, do you think these would be positively correlated,...

Kitchen remodeling is a popular way to improve the value of a home.

(a) If

denotes the amount spent for labor and

the cost for new appliances, do you think these would be positively correlated, negatively correlated, or independent?

(b) If a family is on a strict budget that limits the amount spent on remodeling to $25,000, does this change your impression of the dependence between

and
?