The correct answer for this question is Designed experiment.
A person experiences the placebo effect when their physical or mental health seems to get better after receiving a placebo or "dummy" treatment. A treatment that seems to be real but is intended to have no therapeutic benefit is referred to as a placebo. The Latin word for placebo means "I will please."
One of the most popular hypotheses holds that a person's expectations are what causes the placebo effect. It's possible that the body's chemistry can produce results comparable to what a drug might have produced if a person anticipates a pill to do something.
To know more about Placebo effect, click here:
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P = -1.5w + 55
(pounds equals losing 1.5 lbs a week plus the starting weight)
your second question is a little vague so i’m assuming you mean the values of p every week if Rocco loses 1.5 lbs every week until the goal of 45 lbs is reached. that goes as follows:
w1: 53.5 lbs
w2: 52 lbs
w3: 50.5 lbs
w4: 49 lbs
w5: 47.5 lbs
w6: 46 lbs
w7: 44.5 lbs
so Rocco would reach the vet’s weight recommendation after 7 weeks