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?\n|x|y|\n|1|-5.1|\n|2|-3.2|\n|3|1.0|\n|4|2.3|\n|5|5.6|\n-0.88\n-0.12\n0.12\n0.88

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?\n|x|y|\n|1|-5.1|\n|2|-3.2|\n|3|1.0|\n|4|2.3|\n|5|5.6|\n-0.88\n-0.12\n0.12\n0.88

Answer

Explanation:

Step1: Calculate predicted y - 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 the actual y - value

From the table, when $x = 3$, $y_{actual}=1.0$.

Step3: Calculate the residual

Residual = $y_{actual}-y_{predicted}$. So, residual = $1.0 - 0.12 = 0.88$.

Answer:

0.88