To determine which residual value is the farthest from the line of best fit, we first need to compute the absolute values of the given residuals.
Residuals provided:
- -0.4
- 0.7
- -0.2
- 0.19
- -0.6
Step 1: Calculate the absolute values of each residual:
- The absolute value of -0.4 is 0.4.
- The absolute value of 0.7 is 0.7.
- The absolute value of -0.2 is 0.2.
- The absolute value of 0.19 is 0.19.
- The absolute value of -0.6 is 0.6.
Step 2: Compare these absolute values to find the largest one:
From the absolute values:
- 0.4
- 0.7
- 0.2
- 0.19
- 0.6
We see that 0.7 is the largest absolute value.
Therefore, the residual value that is the farthest from the line of best fit is 0.7.
Answer: 0.7