the line of best fit to model the data in the table is y = 5.2x - 0.4. what is the residual for 5? -1.6 -0.6…
the line of best fit to model the data in the table is y = 5.2x - 0.4. what is the residual for 5? -1.6 -0.6 0.6 1.6 x y 1 8 2 13 3 18 4 23 5 24
Answer
Explanation:
Step1: Find predicted value
When $x = 5$, substitute into $y = 5.2x-0.4$. So $y_{predicted}=5.2\times5 - 0.4=26 - 0.4 = 25.6$.
Step2: Calculate residual
Residual formula is $y_{observed}-y_{predicted}$. Given $y_{observed}=24$ when $x = 5$. Residual $=24 - 25.6=-1.6$.
Answer:
-1.6