a data set is shown in the table. the line of best fit modeling the data is y = 2.69x - 7.95. what is the…
a data set is shown in the table. the line of best fit modeling the data is y = 2.69x - 7.95. what is the residual value when x = 3? -0.88 -0.12 0.12 0.88\nx y\n1 -5.1\n2 -3.2\n3 1.0\n4 2.3\n5 5.6
Answer
Explanation:
Step1: Calculate predicted value
Substitute $x = 3$ into $y = 2.69x-7.95$. So $y_{predicted}=2.69\times3 - 7.95$. $y_{predicted}=8.07 - 7.95=0.12$.
Step2: Find actual value
From the table, when $x = 3$, $y_{actual}=1.0$.
Step3: Calculate residual
Residual = $y_{actual}-y_{predicted}$. So residual = $1.0 - 0.12 = 0.88$.
Answer:
$0.88$