Residuals! how do i get the residuals on list three on the calculator after entering values on the first two lists?

Create a list with the required dimension (n)
In Run>Mat, Press OPTN > F1:List
Using the keyboard , F3:Dim, and F1:List
Type in
n--->Dim List 1 (for example),
Using the F4:Fill and F1:List tabs enter
Fill(0, List 1) EXE

The simplest way would be to create a table where each x-value has a y-value that is the residual at the corresponding x. With a 2-list data set you can plot you residual plot.

1. To enter number in a list, say L1, you press the [STAT] key. In the new screen that displays, select EDIT . You will have access to the lists (all the lists) where you will enter the values.
2. From the command line, you can also open a curly bracket { and start entering values separated by commas. When finished with the values, close the curly bracket }.
3. Press the [STO>] (store ) button followed by [2nd[ [1] to store in L1.

The table is where the calculator displays values from functions entered in the Y= page. To enter numbers into lists, press STAT and select Edit to get into the list editor.

Turn ClassPad ON.
Press [MENU]
Find the STATISTICS application and tap its icon.
Enter your data in one column (L1) and frequency values in List 2.

If all frequencies are equal to 1, no need to enter them in L2.

After you finish entering the data, Tap the CALC menu at the top of screen.

Select One-Variable (or two variables if you want regressions) and tap the OK button. You are given the opportunity to select the data list and the frequency list, if any.



Validate your choices. and tap OK.
Statistical values are displayed. The display runs more than one screen. Use the downArrow to scroll.

This shows you how to enter your data and calculate some statistical values. Keep in mind that the variance is the square of the standard deviation.


In the main menu select [STAT] icon to enter Stat mode and display the statistical data lists. Use the statistical data lists to input data and perform statistical calculations. Use the arrows to move the highlighting around the lists.
Example: Enter the following values in List 1
1st line enter 90 [EXE]
2nd line 85 [EXE]
3 79 [EXE]
4 75 [EXE]
5 70 [EXE]
6 68 [EXE]
7 56 [EXE]

When finished you press [F2:Calc], then [F1:1Var] and the statistical results appear on screen.

Title of screen : 1-Variable
x bar =74.7142857
Capital Sigma x= 523
Capita Sigma X squared = 39851
x lower case sigma n = 10.5249945
x lower case sigma n-1= 11.3682934
n = 7
Scroll down with Down arrow to access other data
minX =56
Q1=68
Med =75
Q3=85
Xbar -x lower case sigma n =64.1892911
x bar x lower case sigma n = 85.2392802
maxX=90
Mod=90

All you have to do now, is to look at the theory you learned and interpret what these values mean.

Start by creating the data lists.

CREATE THE X-LIST

1. Press Home.
   
2. Use navigation pad to Highlight [3: Lists and Spreadsheets]
3. Press Enter
   
4. A list opens with cursor in Cell A1.
   
5. Use UpArrow to move the cursor to the header of the list and give it a name, say X.
6. Press Enter. Cursor moves to Cell A1
7. Enter an X-value in each cell and press ENTER to move to next cell:
   
8. Type 1, and press ENTER. Say Yes to overwrite message by pressing OK.
9. Enter 2,3,4,5,6,7,8,9,10 (just a bogus sample).

CREATE THE Y-LIST

1. After typing 10 in cell A10, press ENTER to validate.
2. Use the Navigation pad to move cursor to the head of the B column.
3. Give it a name , say Y.
4. Press ENTER, Cursor moves to cell B1.
5. As for X-list, enter the Y values. Here is a sample (-2, -1, 0, 1,2,3,4,5,6,7). After you type value in B1, accept the overwrite message by pressing OK. Type the other values.
6. Make sure that the X-List and Y-List have the same number of elements, otherwise you will have a dimension mismatch error.

DOING A REGRESSION

1. While the lidt is still displyed, prress the Menu key
2. Highlight [4:Statistics]
3. Use Right Arrow to unfold submenu list and select [1:Stat Calculations]
4. Use right Arrow to unfold the submenu list and
5. Select [3:Linear regression (mx+b)] or [4:linear regression (ax+b)]

That is what you see.

Using Tab to move from one line to the next, configure the calculator as seen on the next screen.

And the last line is at the bottom of the next screen capture


The statistical results will hence be displayed in the C[] column.
Use TAb to move focus to OK, and press ENTER.
Here they are.


You can recognize each statistical results, RegEq is y=mx+b. You also have m, b, r^2, and r. The residuals appear on the next row. By highlighting the cell with the {0.,0...0} you can display the hidden values


Here you have all you asked for. But you can go further by drawing the curve.

The regression equation is stored in function f1, so you have to draw the f1 function. .

DRAWING THE REGRESSION CURVE

Press the HOME button
Highlight and select [2:Graphs and Geometry]
At the bottom of the screen there is a command line with f2(x)=
Use the UpArrow to display the f1(x)= equation


Press ENTER to draw the function f1


I think I have to stop here. There is enough material to get you started.
I left for you the part where you draw the data points. read the user manual.

To make a plot, first you will need to define a list. To do this, press "{", then enter the values of your list, separating each value with a comma, and ending the list with "}" then store (STO>) the list into a list variable ("2nd" + "1", "2", etc.). For a box plot, you will need only one list, and for a scatter plot, you will need two. One for the independent variable, and one for the response variable; that is, one for the X and Y axis, respectively. To make your plot, open the plot menu ("2nd" + "Y=") and select a plot. From there, you may select the type of plot and which lists to use as values.

To find the residuals for the line of best fit, from the home screen, press "STAT", then move one right to "CALC", then select option 4, "LinReg(ax+b)". Once this command is on your home screen, follow it with your X and Y axis lists, separated by a comma, eg: "LinReg(ax+b) L1, L2". Press enter. In a moment, you will be provided with 'a' and 'b' values. Plug those residuals into your "Y=" menu in the form "ax+b", replacing 'a' and 'b' with the residuals, and the line of best fit will be drawn across your graph.

To turn on the residuals, you must turn diagnostics on.

Press 2nd then zero. You are now in an alphabetical catalog list. Go to the d's in the list highlight "diagnostic on" and press enter. This will take you back to the home screen. You must press enter and get the word "done" on the home screen.

If you are trying to get the residuals in a list, you must calculate a regression first. Then when you press 2nd stat, resid should be in that menu.

Here's what you do in a TI-83 or TI-84:

Go to STAT > 1: Edit > UP ARROW > 2ND > INS > *List Name* > ENTER

Hope that helps!