maria gathered the data in the table. she finds the line of best fit to be y = 2.78x - 4.4. what is the…

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?\n| x | y |\n|----|----|\n| 1 | -2 |\n| 2 | 1.3 |\n| 3 | 4.2 |\n| 4 | 7.3 |\n| 5 | 8.9 |\n-6.72\n-0.58\n0.58\n6.72

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?\n| x | y |\n|----|----|\n| 1 | -2 |\n| 2 | 1.3 |\n| 3 | 4.2 |\n| 4 | 7.3 |\n| 5 | 8.9 |\n-6.72\n-0.58\n0.58\n6.72

Answer

Explanation:

Step1: Calculate 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 value

Residual = Observed - Predicted. Observed $y$ - value when $x = 4$ is $7.3$. Residual $=7.3 - 6.72=0.58$

Answer:

$0.58$