1. 3.2 Residuals and the Least-Squares Regression Line
Using the Calculator
3.2 Residuals and the Least-Squares Regression Line

2. Using the Calculator – TI Series – p. 146
Team
Average Points Per Game
Wins
Alabama
34.8 12
Arkansas
36.8 11
Auburn
25.7 8
Florida
25.5 7
Georgia
32.0 10
Kentucky
15.8 5
Louisiana State
35.7 13
Mississippi
16.1 2
Mississippi State
25.3
South Carolina
30.1
Tennessee
20.3
Vanderbilt
26.7 6
STAT  Edit
Enter data.
x-variable in L1
y-variable in L2

3. Using the Calculator – TI Series – p. 146
STAT  Edit
Enter data.
x-variable in L1
y-variable in L2
2nd  0 (Catalog)
↓ DiagnosticOn
Press Enter twice

4. Using the Calculator – TI Series – p. 146
L1: 2nd , press 1
L2: 2nd, press 2
Y1: VARS  Y-VARS ↓
1: Function, Select 1: Y1
STAT PLOT  CALC
↓ 8: LinReg(a+bx)
Press Enter

5. Using the Calculator – TI Series – p. 146
So the LSRL is: 𝑦 =− 𝑥
Press Enter
Press Y=
Make sure Plot 1 is On with L1 & L2 for the x- and y-list

6. Using the Calculator – TI Series – p. 146
Zoom 9 to graph
Press Trace.
Going ← and → will help you jump from point to point
Going ↑ and ↓ helps you jump from the points to the line

7. Using the Calculator – TI Series – p. 146
*Note: You must have completed the previous steps for this to work.
To get the residual plot:
Go to STAT PLOT
Go to Ylist
Press 2nd List (STAT button)
Select 7:RESID

8. Using the Calculator – TI Series – p. 146
To get the residual plot:
Zoom 9 to graph

9. Using the Calculator – HP Prime – p. 146
Apps
Select Statistics 2 Var

10. Using the Calculator – HP Prime – p. 146
Team
Average Points Per Game
Wins
Alabama
34.8 12
Arkansas
36.8 11
Auburn
25.7 8
Florida
25.5 7
Georgia
32.0 10
Kentucky
15.8 5
Louisiana State
35.7 13
Mississippi
16.1 2
Mississippi State
25.3
South Carolina
30.1
Tennessee
20.3
Vanderbilt
26.7 6
Enter data
x-variable in C1
y-variable in C2

11. Using the Calculator – HP Prime – p. 146
Press Symb
First box is x-variable (C1), Second box is y-variable (C2)
Make sure it says linear
Fit 1 should have M*X+B
Press Plot
Press Menu, then Fit to get the line

12. Using the Calculator – HP Prime – p. 146
***NOTE: We would switch the equation around to be a + bx.
So the LSRL is:
𝑦 =− 𝑥
Go back go SYMB
Check out the equation

13. Using the Calculator – HP Prime – p. 146
Press Num
Press Stats in lower right corner
r ≈

14. Using the Calculator – HP Prime – p. 146
To get residual plot:
Go to the Home Screen
Press the toolbox
Select App on the screen, go ↑ to Statistics 2Var → to 3 Resid
Press Enter
Type S1 (for Scatterplot 1), Sto► (bottom right corner of screen), then C3
Press Enter

15. Using the Calculator – HP Prime – p. 146
To get residual plot:
Go to Numerical View
Residuals are listed in C3
Go to Symbolic View
Uncheck S1
Use S2 with C1 as the x and C3 as the y

16. Using the Calculator – HP Prime – p. 146
To get residual plot:
Press Plot
Press Menu (soft key on screen) and scroll to autoscale for better view