You did a good job using the center, shape, and spread of data to match the graphs to the summary statistics for last night's assignment.
The data you collected will be posted here. Please post comments and questions attached to this entry. Our technical team is standing by, ready to answer your questions!
Your assignment is to generate a least-squares regression line for the data. Your technical team will post instructions.
Do not use your full name when you create your account.
Here are data you collected:
Circumference Diameter
25 3.5
24.75 3.5
19.5 2.5
19.875 3.25
19.75 3
19.75 2.5
20.5 3
16.5 2.25
16 2
15.25 2
12.25 1.5
15.25 2
8 1
8.5 1
12 1.5
12.5 1.75
8.25 1.25
12 1.75
13 1.75
5.5 0.75
3.5 0.5
5 0.5
3.5 0.5
5.5 0.75
4.75 0.5
5.5 0.75
9 1.25
12.5 1.75
15.25 2.25
20 3
19.75 2.5
25 3.5
9 1.25
12.2 1.75
8 1
5.5 0.75
4.75 0.75
8.25 1.25
20 5.5
33 8.5
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14 comments:
To find the best fit line...
Open your lists. In List 1 put all the data for your circumfrences. In List 2 put all the data for your diameters.
To get find the linear regression
Click STAT, then go to CALC, then go to LinReg(ax+b) and hit enter.
Then add Y1 by going to VARS, and select Function. Then hit enter on Y1
So you'd like to make a linear regression graph of the data collected above? Its not as complex as it sounds; follow these step by step instructions and you'll be making graphs in no time at all.
Instructions for 2nd Period:
1. First, you probably want to enter some data. To do so, press the [STAT] button on your calculator.
a. Your first menu choice will be "Edit...". Press [ENTER].
b. You now have a series of lists (up to 6) which you can enter data into. For this lab, we'll be using "L1" and "L2" to represent an X axis and Y axis respectively.
c. To enter data, simply type in the numbers in and press [ENTER]. You should see the information appear in the list and your cursor should move to a new element below your data.
d. If you wish to delete information already occupying the lists, simply scroll up until your cursor is on the list you wish to clear ("L1", "L2", etc) and press the [CLEAR] button. Note that you cannot clear individual fields, so simply overwrite them if you type something in incorrectly.
2. Once all of your data is in the lists, exit out of the List editor by pressing [2ND][MODE].
3. Now we're going to make the linear regression model. In order to do that, we must press [STAT] again. This time, we're going to scroll over once to "CALC". Under this new menu, scroll down until you see "LinReg(ax+b)". When "LinReg(ax+b)" is highlighted, press [ENTER].
4. Next we're going to fill in the parameters of the "LinReg(ax+b)" function. The first two parameters are the lists "L1" and "L2"; to input these into your calculator simply press [2ND][1], [,], [2ND][2], [,]. When this is done, your calculator should read "LinReg(ax+b) L1,L2,". If you had used other lists, you can select them as well. They should be labeled as the [2ND] function of numbers [1] through [6]. Remember the [,]'s, they are crucial.
5. Last, we must supply an empty graph function ("Y1", "Y2", etc) at which to store the new linear regression model. To insert this, simply press [VARS]. Scroll over to "Y-VARS". Highlight "Function..." (should be first) and press [ENTER]. Find an empty Y function; "Y1" should do. Press [ENTER].
6. Your screen should now read "LinReg(ax+b) L1,L2,Y1". If it does, press [ENTER] and your calculator will do the rest. It should display the values of the "a" and "b" variables on your screen. You can fill them in to the equation listed above the variables and you will have the linear equation for your data set. If you press [Y=], you'll see that your respective Y equation will now have the equation that you just generated. Press [GRAPH] to see the graph. You may have to adjust the window to fit the data set.
Chris R - 2nd Period
To create a linear regression graph is actually quite simple on the calculator.
1. To begin with, one must insert the data into the lists stored on your calculator. To do this, press the “stat” button on your calculator. The window should then display a screen where the word “edit” is highlighted at the top. Click enter when the number one is highlighted below edit or just press one.
2. If you are like me, you probably have some information stored in your lists. To erase the stored data at once, highlight the list you are going to use, in my case “L1”, and then click clear. Press the down arrow once more, click on clear, and the list should be cleared. Repeat this for “L2” or whichever lists you are using.
3. Now begin inputting data. Start by taking the first numbers of each two number pair on the main page. Insert these number into “L1” or the list you are using for your X axis values. Take the remaining numbers and enter them into “L2” or the list you are using for your Y axis values. To do this, type one number in and press enter. After that, type in the next number and press enter. Repeat this until all values have been entered.
4. Exit back to the main screen by pressing the “2nd” button and then “mode”. These buttons should be fairly close together.
5. Return to the stat menu by pressing the “stat” button again. Press the right arrow button until “calc” is highlighted. Look for “LinReg(ax+b)” in the menu shown on the screen. Press the down button until this is highlighted and then press “enter”.
6. You should now be on the main screen with “LinReg(ax+b)” in the upper left corner of the screen. Now you must choose the lists you are going to use. To select the list press “2nd”, “1” (if it is L1), and “,”. Choose the appropriate list for your x values. Do the same for “L2” by pressing “2nd”, “2”, and “,”. Again. Substitute a different digit between one and six if that corresponds with the list you used for the Y values. Now you have to also add in a graph function so that the equation will be stored there for graphing purposes. To do this, press “vars” and then press the right arrow button so “Y-Vars” is highlighted. Highlight “Function…” and press “enter”. This should open up a whole list of options that follow the form of Ynumber. Select any one of these, “Y1” should work perfectly. Once the one you want to use is highlighted, press “enter”. This should return you to the main screen where “LinReg(ax+b) L1, L2, Y1 is now displayed. Press “enter”.
7. A list of information should now be displayed telling what y, a, and b equal. Press the “Y=” button at the top and the equation should be displayed in the Y-vars spot you chose. To see the graph of it, press “graph”. A graph of your equation should appear. If it does not, try pressing “zoom” and then “9”. If it still does not show, tinker with the settings in window a little until it does.
Gabrielle R – 6th Period
Directions for 3rd period Statistics:
First press [STAT] near the arrow keys on your calculator. Then make sure that EDIT is highlighted at the top of the screen then press [ENTER] while highlighting 1:Edit. This should bring up tables that are labeled L1, L2, L3, L4, L5, and L6.
(If you do not have an L1 then press [2ND],[MODE] to quit, press [STAT] Again, highlight 5:SetUpEditor, press enter, and press enter again. Hopefully this should return your edit menu to normal.)
Now, under the L1 section enter the data provided for Circumference and enter the data for diameter under the L2 section.
(Note that if you already have a lot of data entered, you can go to the top of the column and highlight the label (like L1) and press [CLEAR],[ENTER]. Be careful not to press delete, as this will get rid of the entire column and you will have to restore it.)
To enter the data, just highlight the spot where you want to enter the data, type in the number, and press enter. It would be fastest to do all of the circumference at one time and then all the diameter, as when you press enter it highlights the spot below the one you just entered data into. Once you have made sure the two columns match up, you have finished inputting data.
Now, press [2ND],[MODE] to quit out. Press [STAT] again and scroll over to CALC. Now scroll down to 4:LinReg(ax+b) and press [ENTER]. LinReg(ax+b)should now appear on an otherwise blank screen. Now, press [2nd], [1] , [,] , [L2] , [,]. So your screen should now read [ LinReg(ax+b) L1,L2, ]. Next, press [VARS], scroll over to Y-VARS, and select 1:Function. Select Y1 and your screen should read [ LinReg(ax+b) L1,L2,Y1 ]. Press [ENTER] and data should appear in your calculator. Press [ZOOM],[9] and your least-squares regression line should appear. To make the points of data appear on your graph press [Y=] and scroll up to Plot1 and press [ENTER] so that it is highlighted.
David H.
3rd period Statistics.
Which set of numbers do we use for circumference and diameter for third period stat?
Everyone can use the same set of data--the data that I posted above and again on the classhomework page.
Great job, tech folks!
Stephen period 5.
1.put all data from blog page.circumfrences in list 1 and diameters in list 2.
2.hit stat,calc,linreg(ax+b),enter
3.Next add L1 by hitting 2nd and then the number 1.Then hit the comma button just over the 7. Next hit 2nd then the number 2 for L2. Then hit the comma button again.
4.Next hit vars,y-vars,function,y1,enter.
5.Now it should be Linreg(ax+b)L1,L2,Y1 then hit enter.
6.Hit y= then graph. You should now have a graph!
I was entering the data into L2 and I looked down and somehow I had gotten back to the regular screen. I went back to stat, edit, but now it says Error: Memory. And I can only quit. I tried during Clrlist and SetUpEditor but neither fixed it. What the heck?
Quote-
"I was entering the data into L2 and I looked down and somehow I had gotten back to the regular screen. I went back to stat, edit, but now it says Error: Memory. And I can only quit. I tried during Clrlist and SetUpEditor but neither fixed it. What the heck?"
That's really strange, did it work normally when you put the data into L1?
Yep, and I was about halfway done with L2.
Do you have any games downloaded on her calculator? Because if you do, that is probably why ur memory is low.
ohhh, that could be it. How do you delete them?
Never mind, I got it, thanks!
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