If You Have a Puppy Who You Are Feeding Hill's

question 91

Essay

If you have a puppy who you are feeding Hill's Science Diet® original puppy food, the feeding guidelines for puppies who are 10 to 12 months old are as follows (Source: Hill's feeding guidelines):
$\begin{array}{l|cccccccccc} \text {Weight (lbs) }& 2 & 5 & 8 & 10 & 20 & 40 & 60 & 80 & 100 & 120 \\\hline\text { Food (cups)} & 1 / 3 & 2 / 3 & 2 & 1-1 / 8 & 2 & 3-1 / 4& 4-1 / 3 & 5.5 & 6.5 & 7-1 / 3 \end{array}$

A scatterplot of the data is:
Does it seem reasonable to perform a linear regression to predict amount of food from the puppy's weight based on this data set? Explain.

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Definitions:

Hypergeometric Probability

A probability distribution used for calculating the odds of drawing a specific number of successes in a sample without replacement from a finite population.

Discrete Probability Distributions

Probability distributions that delineate the probabilities of outcomes for discrete random variables.

Hypergeometric Random Variable

A discrete random variable that represents the count of successful outcomes in a series of selections from a limited population where each selection is not returned to the pool.

Probability of Success

The likelihood that an event will occur as desired, often represented as a number between 0 and 1.