TI 89 I think it's called..
Excellent, my area of expertise.
1. Go into Stats/List Editor.
2. In "list 1" type in your x values.
3. In "list 2" type in your y values.
NB: In list 1, you can type in your y values and in list 2, you can type in your x values, but for simplicity, we'll just stick with steps 2 & 3.
4. Press F4.
5. Go down to "3: Regressions"
6. Select "1: LinReg(a+bx)"
7. Make sure "X List" is set on "list1" and "Y List" is set on "list2"
8. Press enter
9. A box should pop up informing you of some useful statistics but we want a residual plot, so press enter again.
10. Press F2.
11. Select "1: Plot Setup"
12. Press F1
13. Make sure these are the settings:
Plot Type: Scatter
Mark: Box (or anything you want but boxes are easier to see)
x: list1
y: statvars\re
Use Freq and Categories: No
NB: For the "y:" field, the easiest way is to press "2nd" and then the "minus" key, then scroll down until you see the word "resid", press enter and that should be correct.
14. Press enter until you're back the "Plot Setup" screen.
15. Press "F5 ZoomData".
16. You're done.
EDIT: Post edited for corrections.