Question

a scatter plot for which type of data is most likely to suggest a linear association between the two quantities? the amount of rainfall each day and the day’s date for one month the number of bowls of cereal eaten and the amount of cereal left in the box the height of a ball and the number of seconds after it is thrown into the air the age and the weight of a cat over its lifetime

Explanation:

1. For the amount of rainfall each day and the day's date for one - month, there is no inherent linear relationship as rainfall is a random weather - related variable not linearly tied to the date.
2. For the number of bowls of cereal eaten and the amount of cereal left in the box, as the number of bowls eaten increases, the amount of cereal left decreases in a linear fashion (assuming constant - sized bowls). If we let $x$ be the number of bowls eaten and $y$ be the amount of cereal left, and the initial amount of cereal be $C$ and the amount of cereal per bowl be $k$, then $y = C - kx$, which is a linear relationship.
3. For the height of a ball and the number of seconds after it is thrown into the air, the relationship follows a quadratic function (due to gravity) $h(t)=h_0 + v_0t-\frac{1}{2}gt^2$ and not a linear one.
4. For the age and the weight of a cat over its lifetime, the growth of a cat is not linear; it has different growth phases and plateaus.

Answer:

the number of bowls of cereal eaten and the amount of cereal left in the box