Question

calculate residual from context (hot cocoa)
this is the only question in this section.
question
lincoln 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 day’s high temperature and then draw the line of best fit. calculate the residual for the data point that corresponds to 85 hot cocoas sold and a high temperature of 2°f.
(there is a scatter plot with a line of best fit, x - axis: high temperature (degrees fahrenheit), y - axis: hot cocoas sold)

Explanation:

Step1: Recall Residual Formula

Residual is calculated as \( \text{Residual} = \text{Observed Value} - \text{Predicted Value} \). Here, the observed value of hot cocoas sold is 85. We need to find the predicted value from the line of best fit at \( x = 2 \) (high temperature 2°F). From the graph, the line of best fit at \( x = 2 \) has a predicted value of 86 (since the point on the line is (2, 86)).

Step2: Calculate Residual

Using the formula, substitute observed = 85 and predicted = 86. So, \( \text{Residual} = 85 - 86 = -1 \).

Answer:

-1