Question

maria gathered the data in the table. she finds the line of best fit to be y = 2.78x - 4.4. what is the residual value when x = 4? x | y 1 | -2 2 | 1.3 3 | 4.2 4 | 7.3 5 | 8.9 0.58 -6.72 6.72 -0.58

Explanation:

Step1: Find predicted value

Substitute $x = 4$ into $y=2.78x - 4.4$.
$y_{predicted}=2.78\times4 - 4.4=11.12 - 4.4 = 6.72$

Step2: Calculate residual

Residual = $y_{actual}-y_{predicted}$. When $x = 4$, $y_{actual}=7.3$.
Residual = $7.3 - 6.72=0.58$

Answer:

$0.58$