Question

kiley gathered the data in the table. she found the approximate line of best fit to be y = 1.6x - 4. what is the residual value when x = 3? -1.8 -0.2 0.2 1.8

Explanation:

Step1: Calculate predicted value

Substitute $x = 3$ into $y = 1.6x-4$. So $y_{predicted}=1.6\times3 - 4=4.8 - 4 = 0.8$.

Step2: Find actual value

From the table, when $x = 3$, the actual - value $y_{actual}=-1$.

Step3: Calculate residual

Residual = $y_{actual}-y_{predicted}$. So residual=$-1 - 0.8=-1.8$.

Answer:

-1.8