Question

question 14 (multiple choice worth 10 points) (m2024 wc) monthly private school tuition based on the average number of weeks in attendance is predicted using the least - square regression line, $\hat{y}=285.9 + 93.4x$, where $y$ represents the predicted monthly expense and $x$ represents the average number of weeks in attendance. a child attends private school an average of 3.5 weeks and has a monthly cost of $595. what is the residual for the child? options: -22, 22, 352, -352

Explanation:

Step1: Calculate predicted tuition

Substitute $x=3.5$ into $\hat{y}=265.9+93.4x$:
$\hat{y}=265.9+93.4\times3.5$
$\hat{y}=265.9+326.9=592.8$

Step2: Compute residual value

Residual = Observed value - Predicted value
$\text{Residual}=595-592.8$

Answer:

2.2