Question

the scatterplot below shows the number of cookies sold by a bakery at different prices over 16 different days. a line of best fit is shown.

number of cookies sold vs. price

which of the following is closest to the difference between the number of cookies actually sold and the number sold predicted by the line of best fit when the price was $4.00?

○ 85
○ 12
○ 3
○ 97

Explanation:

Step1: Find predicted value at $4.00

From the line of best fit, at price $4.00, the predicted number of cookies sold (let's call it \( y_{pred} \)) is around 90 (by observing the line's position at x = 4.00).

Step2: Find actual value at $4.00

The actual data point (blue dot) at price $4.00 has a y - value (number of cookies sold) around 80 (by observing the dot's position at x = 4.00).

Step3: Calculate the difference

The difference \( |y_{actual}-y_{pred}|=|80 - 90| = 10\), which is closest to 12 among the given options.

Answer:

12