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Posted on Dec 04, 2017

Make up a scatter diagram with 10 dots for each of the following situations: (a) perfect positive linear correlation, (b) large but not perfect positive linear correlation, (c) small positive linear correlation, (d) large but not perfect negative linear correlation, (e) no correlation, (f) clear curvilinear correlation.

5 Related Answers

A

Anonymous

  • Posted on Jan 21, 2008

SOURCE: how to calculate the Linear correlation coefficient

go to [2nd] [0] then select [diagnosticon] and click [ENTER] then it atomatically adds it to the LinReg(ax+b)

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Anonymous

  • 2653 Answers
  • Posted on Nov 28, 2009

SOURCE: about 5 - 10 minutes into gaming, the screen will

No, cables RARELY go bad. More than likely it's the GPU on the motherboard. It's getting too hot.

You need to get some compressed air and blow out all the dust. It's best to do it outside ;)

Also give it about a minute or two before powering up again.

It also helps to use the PS3 in a vertical position, heat is your enemy!

Let me know what happens after following my suggestions.

--RescueTechLA

Anonymous

  • 1 Answer
  • Posted on Jan 03, 2010

SOURCE: Wooden piece puzzle square/rectangles various sizes coloured dots

it's okay I ended up finding the instructions. thanks.

k24674

  • 8093 Answers
  • Posted on Jan 21, 2010

SOURCE: You are given the following data.

OK, you convinced me to do your homework for you.

Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. To clear old data

  1. Press [2nd][+] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. Run the SetUpEditor command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. Turn DiagnosticsOn option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DiagnosticsOn option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DiagnosticsOn
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. Enter the data
Press [STAT][1:Edit]
Type in the X values in L1 and the Y values in L2 (see picture 1)
894afd6.jpg

To obtain the statistical results
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what you get (with you data).
f2d3743.jpg
Notice the down arrow next to n=7. That means the results screen has more values. Press the down arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the satistics. Some of the values your are looking for are among the result. NOW it is you mission to identify what you need (I chewed all the work for you).
However there is no correlation coefficient, no line of best fit, etc. To obtain that you have to perform a regression analysis.

Perform a Regression analysis
To perform a regression analysis, you must try several regression models and then find the one that mimicks the raw data best. In this particular case, you have already decided to do a linear regression, and that is good for me. I do not have the time to take you through all of them. A linear regression it will be.

  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [4:LinReg (ax+b)
  3. The command LinReg(ax+b) echoes on main calculator screen.
  4. If you press [ENTER] you will get you equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While LinReg(ax+b) command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have LinReg(ax+b) Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results.
2083b74.jpg
The slope is a and the y-intercept is b. You also have r and its square. You need to read your theory to know which of the two correlation coefficients you have been asked to obtain.

Since you saved the equation in the Y1 function you can draw it. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

Drawing the scatter plot and the raw data on the same screen.

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] to open plot1 configuration screen
  3. Use arrow to highlight On
  4. Use the down arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the Xlist is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearnce of the raw data point.

And here is your two graphs: the raw data scatter plot and the line of best fit on the same screen
ef0f885.jpg

Now, it is up to you to accept this model or to try another model.

N

k24674

  • 8093 Answers
  • Posted on Feb 03, 2012

SOURCE: my r correlation doesn't show when I'm in linear regression?

You must turn the Diagnostics ON. Open the CATALOG of commands by pressing [2nd[0]. Press the key that has Letter D next to it. From that point in the catalog, scrool Down to get to DiagnosticsON. Highlight the command and press Enter. The calculator will echo the command in the Main screen. Press ENTER.
From now on the coefficient of determination ( the square of R) will be displayed along with other statistics.

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Related Questions:

1helpful
1answer

Correlation coefficients

To get the correlation coefficient, open the CATALOG by pressing [2nd] 0 (CATALOG)
Press the [x-1] key for the letter D
Scroll down from the cursor position to reach DiagnosticsON.
Highlight the command and press EXE.

Use the statistic utility
Press the STAT key.
Press 5 to execute the SetUpEditor command
Press the STAT key again then 1:Edit
Enter an x-values in list L1, and the corresponding y-values in list L2. This way if your data set is not sorted in x, you can use the SortA( command.
After you enter the x- and y-values, exit the Editor
Press the STAT key then scroll once to CALC
Select 2:2-var Stats.
The command will echo on the main screen. Press EXE to execute it.
If there are no errors you statistics will be diplayed. Among them you will see R^2.
0helpful
1answer

How do you do turn on diagnostics with a casio fx-9750g plus?

You don't do anything for the Casios.. If the correlation and determination coefficients have a meaning in the regression model (such as linear regression) they will be calculated and displayed automatically on the same screen where the regression equation is displayed. However if the regression model has no such coefficients nothing will be displayed.
0helpful
1answer

Whenever i enter coordinates for a scatter plot or best fit line the point do not show up neither does the line i can trace the points and the calculator tell the coordinates but they are not visible

Two possibilities:
  1. Graph is out of range (out of the window). If your data is positive set Xmin=0 and Ymin=0. Set Xmax a bit larger than the maximum x-value and YMAX a bit larger than the maximum y-value. You can also press [ZOOM] and select [9:ZoomStat].
  2. To mark the points you may have select the dot and your calculator screen is too dim.
To help you setup your calculator To perform regression analysis I am inserting here a copy of a more detailed post of mine where I show the complete procedure applied to a quadratic regression.

Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. TO CLEAR OLD DATA
  1. Press [2nd][ ] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. RUN the SETUP EDITOR Command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. TURN DIAGNOSTICSON option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DIAGNOSTICSON option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DIAGNOSTICSON
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. ENTER THE DATA
Press [STAT][1:Edit]
Type in your D (X ) values in L1 and the N (Y) values in L2 (see picture 1). Sorry the picture does not have YOUR values.
894afd6.jpg

TO OBTAIN statistical RESULTS (optional)
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what one gets with the data above.

f2d3743.jpg
Notice the Down Arrow next to n=7. That means the results screen has more values. Press the Down Arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the statistics.

However there is no correlation coefficient, no line of best fit, etc. To obtain that you have To perform a regression analysis.

E. PERFORM A REGRESSION ANALYSIS
To perform a regression analysis, you must try several regression models and then find the one that mimics the raw data best. Select Regression model ( exponential, linear, sine, quadratic, etc.) Here I selected Exponential
  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [0:ExpReg]
  3. The command ExpReg echoes on main calculator screen.
  4. If you press [ENTER], you'll get your equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While ExpReg command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have ExpReg Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results. (These are your actual results)
f07d40f.jpg
You also have r and its square.

Since the equation is saved in the Y1 function it can be superposed on the scatter plot. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

F. DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] and press ENTER to open plot1 configuration screen
  3. Use arrow to highlight On and press ENTER
  4. Use the Down Arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the XLIST is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearance of the raw data point.

And here are your two graphs: the raw data scatter plot and the line of best fit on the same screen. On the picture the ZoomStat option was used.
d6e8e98.jpg
The graph above represents a parabola and has nothing to do with the sample data entered. But it shows the raw data and the curve of best fit on the same screen.
0helpful
1answer

How do u store linreg(ax+b)as y1 on ur graphic calculater

When you press [STAT] and right Arrow to highlight CALC you see two linear regression model [4:LinReg(ax+b)] and [8:LinReg(a +bx)]
If you select [4: ...] the command echoes on main calculator screen as LinReg(ax+b) and a blinking cursor
If you press [ENTER] you will get your equation, a, b, and r^2 if DiagnosticsOn command has been executed before. However you will not be able to see the line of best fit on top of the raw data scatter plot.

To save the equation of best fit in a function variable, ex Y1, you complete the command as follows
LinReg(ax+b) [VARS][=>][Y-VARS][1:Function][1:Y1]
The Y1 variable will appear on main calculator screen, and you have
LinReg(ax+b) Y1
Press [ENTER]
Screen display the equation, its parameter and its correlation coefficients (if so configured).
Press [GRAPH] to draw the line of best fit on top of the scatter plot.

Here are two screen captures to show you the equation and the line of best fit.
a696143.jpg 754dc8f.jpg

As you can see from the value of r^2, and the graph, a linear regression does not seem good.
4helpful
2answers

I own a TI-84 Plus (silver edition). Does this calculator have formulas built in for the least squares line so I might enter the data to get the values for b and m? If so will it give me the correlation...

Read this post. It answers all your questions and shows you HOW to do find your equation of best fit, correlation coefficients, etc.

Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. To clear old data
  1. Press [2nd][+] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. Run the SetUpEditor command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. Turn DiagnosticsOn option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DiagnosticsOn option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DiagnosticsOn
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. Enter the data
Press [STAT][1:Edit]
Type in the X values in L1 and the Y values in L2 (see picture 1)
894afd6.jpg

To obtain the statistical results
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what you get (with you data).
f2d3743.jpg
Notice the down arrow next to n=7. That means the results screen has more values. Press the down arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the satistics. Some of the values your are looking for are among the result. NOW it is you mission to identify what you need (I chewed all the work for you).
However there is no correlation coefficient, no line of best fit, etc. To obtain that you have to perform a regression analysis.

Perform a Regression analysis
To perform a regression analysis, you must try several regression models and then find the one that mimicks the raw data best. In this particular case, you have already decided to do a linear regression, and that is good for me. I do not have the time to take you through all of them. A linear regression it will be.

  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [4:LinReg (ax+b)
  3. The command LinReg(ax+b) echoes on main calculator screen.
  4. If you press [ENTER] you will get you equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While LinReg(ax+b) command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have LinReg(ax+b) Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results.
2083b74.jpg
The slope is a and the y-intercept is b. You also have r and its square. You need to read your theory to know which of the two correlation coefficients you have been asked to obtain.

Since you saved the equation in the Y1 function you can draw it. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

Drawing the scatter plot and the raw data on the same screen.

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] to open plot1 configuration screen
  3. Use arrow to highlight On
  4. Use the down arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the Xlist is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearnce of the raw data point.

And here is your two graphs: the raw data scatter plot and the line of best fit on the same screen
ef0f885.jpg

Now, it is up to you to accept this model or to try another model.
0helpful
1answer

You are given the following data. x y 2 16 3 11 4 12 5 15 5 11 7 8 7 11 Find: - SS(x) - SS(y) - SS(xy) - The linear correlation coefficient, r - The slope b1 - The y-intercept, b0 - The equation of the...

OK, you convinced me to do your homework for you.

Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. To clear old data

  1. Press [2nd][+] (MEM) to open the memory management screen.
  2. Press [4:ClrAllLists]
  3. The command echoes on main screen, press [ENTER] to run it.
  4. Calculator displays Done.
B. Run the SetUpEditor command
  1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. Turn DiagnosticsOn option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DiagnosticsOn option. To access the command
  1. You press [2nd] [0] (CATALOG)
  2. While the list of commands is displayed, press [X^-1] (D)
  3. Cursor jumps to first command that starts with D, dayOfWk(
  4. Press the DownArrow 9 times to reach DiagnosticsOn
  5. Select it and press [ENTER]
  6. Command echoes on main calculator screen with blinking cursor
  7. Press [ENTER] to set the option
  8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. Enter the data
Press [STAT][1:Edit]
Type in the X values in L1 and the Y values in L2 (see picture 1)
894afd6.jpg

To obtain the statistical results
  1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
  2. Press [STAT] and highlight Menu (CALC)
  3. In the list select [2:2-Var Stats]
  4. Command echoes on main screen.
  5. Press [ENTER] to calculate the stats
Here is what you get (with you data).
f2d3743.jpg
Notice the down arrow next to n=7. That means the results screen has more values. Press the down arrow to display.
ab847d7.jpg
You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results.
37fb2ba.jpg
There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the satistics. Some of the values your are looking for are among the result. NOW it is you mission to identify what you need (I chewed all the work for you).
However there is no correlation coefficient, no line of best fit, etc. To obtain that you have to perform a regression analysis.

Perform a Regression analysis
To perform a regression analysis, you must try several regression models and then find the one that mimicks the raw data best. In this particular case, you have already decided to do a linear regression, and that is good for me. I do not have the time to take you through all of them. A linear regression it will be.

  1. Press [STAT] , highlight [CALC]
  2. In the list of regression models select [4:LinReg (ax+b)
  3. The command LinReg(ax+b) echoes on main calculator screen.
  4. If you press [ENTER] you will get you equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
  5. While LinReg(ax+b) command is still in command line, press the [VARS] key.
  6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
  7. In the Y function variable list select [1:Y1]
  8. At the command line, you have LinReg(ax+b) Y1.
  9. Press [ENTER] to save the equation of best fit in Y1.
Here are your results.
2083b74.jpg
The slope is a and the y-intercept is b. You also have r and its square. You need to read your theory to know which of the two correlation coefficients you have been asked to obtain.

Since you saved the equation in the Y1 function you can draw it. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

Drawing the scatter plot and the raw data on the same screen.

Regardless of the curve of best fit, you can draw a scatter plot as follows.
  1. Press [2nd][Y=] (STATPLOT)
  2. Select [1:Plot1...Off] to open plot1 configuration screen
  3. Use arrow to highlight On
  4. Use the down arrow to move cursor to the line Type.
  5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen
b3dea28.jpg
Here plot1 is active (ON), it is scatter plot (first icon) the Xlist is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearnce of the raw data point.

And here is your two graphs: the raw data scatter plot and the line of best fit on the same screen
ef0f885.jpg

Now, it is up to you to accept this model or to try another model.

N

2helpful
1answer

How to calculate the coefficient of linear correlation using casio cfx-9850 Ga plus

Although the coefficient of correlation is well defined for a few regression models, you do not calculate it directly because your calculator does that for you.
I could just tell you that it is displayed along with the statistical results (equation of best fitting curve, ) but if you do not know how to do that you will just shoot my post. If you know how to do a linear regression, stop right here and ignore what follows.

For those interested: How to do a regression on the calculator
I am sorry but I will have to assume that you know how to enter the data through the [MENU][STAT].

  1. After you finish entering all the data
  2. Press [F1:Graph], select Gph1, Gph2, or Gph3.
  3. Once the graph of the experimental data is drawn, you will have access to the diverse regression models.
  4. Your choices are
  5. [X:Linear]
  6. [Med-Med],
  7. [Quadratic :X^2]
  8. [Cubic;X^3]
  9. [Quartic: X^4].
  10. Press [F6] to scroll right to access the others
  11. [Logarithmic:LOG],
  12. [Exponential :EXP],
  13. [Power :Pwr] and
  14. [Sinusoidal: Sin]
After you select a model and press [EXE], the screen displays the equation and its various coefficients, a correlation coefficient if it has meaning, etc.
On that same screen, you have a menu option [F6:Draw]. If you select it, the regression curve will be drawn on the same screen as your statistical graph. This allows you to judge if the fit is good. If it is not, you have the option to choose another model.
The other option [F5:Copy] allows you to save the regression equation in the Y1, Y2, etc. variables.
0helpful
1answer

How to calculate the Linear correlation coefficient

go to [2nd] [0] then select [diagnosticon] and click [ENTER] then it atomatically adds it to the LinReg(ax+b)
0helpful
1answer

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