Final answer:
The largest y-intercept among the linear functions provided belongs to line Y3, which is -140.7 after calculating the y-intercept by setting x to 0 for each equation.
Step-by-step explanation:
To compare linear functions and determine which has the largest y-intercept, we analyze the given equations for line Y2 and line Y3:
- Y2 = -173.5 + 4.83x - 2(16.4)
- Y3 = -173.5 + 4.83x + 2(16.4)
Both lines Y2 and Y3 have the same slope as the line of best fit, which is 4.83. To find the y-intercept, we set x to 0:
- Y2 intercept = -173.5 - 2(16.4) = -206.3
- Y3 intercept = -173.5 + 2(16.4) = -140.7
Therefore, the largest y-intercept belongs to line Y3, which is -140.7.
For comparison, we can also look at an example from FIGURE A1 where the y-intercept is 9. This is higher than both Y2 and Y3, but it's not part of the linear functions we are comparing in this instance.