Question

francisco has a part - time job at an ice skating rink selling hot cocoa. he decided to plot the number of hot cocoas he sold relative to the days high temperature and then draw the line of best fit. calculate the residual for the data point that corresponds to 116 hot cocoas sold and a high temperature of 2°f.

Explanation:

Step1: Recall the formula for residual

The formula for residual is \( \text{Residual}=y - \hat{y}\), where \(y\) is the observed value and \(\hat{y}\) is the predicted value.

Step2: Identify the observed and predicted values

The observed value \(y = 116\) (number of hot - cocoas sold). From the point \((2,115)\) on the line of best fit, when \(x = 2\) (temperature), the predicted value \(\hat{y}=115\).

Step3: Calculate the residual

Substitute the values into the formula: \(\text{Residual}=116 - 115\)

Answer:

\(1\)