Question

In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+400 to model the number of children, y, at the amusement park as a function of the temperature, x. On a day in July, the temperature was 90°F and there were 60 children at the park. Which is the residual of this data point?

Answer 1

25

Explanation:

Given the model:

y=−3.5x+400

Number of children in amusement park = y

Temperature = x

On a certain day:

Temperature = 90°F

Number of children in park = 60

Using the model :

The predicted number of children in park when temperature is 90°F would be :

y = - 3.5(90) + 400

y = - 315 + 400

y = 85

Model prediction = 85 children

Actual figure = 60

Residual :

|Actual - predicted | = |60 - 85| = 25 children