Question

a charity is raising money. to do so, it has filled a 36 - cubic - inch fishbowl with jelly beans and is selling chances to guess the number of jelly beans in the jar. the winner gets the jar. you go home and start filling jars with jelly beans. you find that the line of best - fit for the data is as shown below. number of jelly beans = 178 + 82(volume of container in cubic inches) if the residual of your guess is - 19, how many jelly beans are in the jar? there are \\(\square\\) jelly beans in the jar.

Explanation:

Step1: Calculate predicted bean count

Substitute volume into the given formula.
$\text{Predicted number} = 178 + 82 \times 36$
$= 178 + 2952 = 3130$

Step2: Use residual to find actual count

Residual = Actual - Predicted, rearrange to solve for actual.
$\text{Actual number} = \text{Predicted number} + \text{Residual}$
$= 3130 + (-19) = 3111$

Answer:

3111