Question

Data were collected on the weight, in ounces, of puppies for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 4.25 + 0.4d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.

What is the w-intercept of the line of fit and its meaning in terms of the scenario?

1) 0.4; a puppy who is just born is predicted to weight 0.4 ounces

2) 0.4; for each additional day after the puppy is born, its weight is predicted to increase by 0.4 ounces

3) 4.25; for each additional day after the puppy is born, its weight is predicted to increase by 4.25 ounces

4) 4.25; a puppy who is just born is predicted to weigh 4.25 ounces

Answer 1

The correct answer is 4) 4.25; a puppy who is just born is predicted to weigh 4.25 ounces.

Explanation:

The w-intercept of the line of fit is the value of w when d = 0. In other words, it is the predicted weight of a puppy when it is born.

From the equation w = 4.25 + 0.4d, we can see that when d = 0, the value of w is:

w = 4.25 + 0.4(0) = 4.25

Therefore, the w-intercept of the line of fit is 4.25.

This means that a puppy who is just born is predicted to weigh 4.25 ounces.

So, the correct answer is 4) 4.25; a puppy who is just born is predicted to weigh 4.25 ounces.