Linear Regression A step-by-step tutorial Copyright 2007 College of the Redwoods First edition by...
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Transcript of Linear Regression A step-by-step tutorial Copyright 2007 College of the Redwoods First edition by...
Linear Linear RegressionRegression
A step-by-step A step-by-step tutorial…tutorial…
Copyright © 2007 College of the RedwoodsFirst edition by Aeron Ives.
Making a ScatterplotMaking a Scatterplot
First, we need to input our First, we need to input our table of data and graph it table of data and graph it on the calculator…on the calculator…
First, press ON.First, press ON.
Press ON.
NextBack
First, press ON.First, press ON.
Press ON.
Press STAT.
NextBack
First, press ON.First, press ON.
Press ON.
Press STAT.
Hit ENTER to choose Edit (or press 1).
NextBack
First, press ON.First, press ON.
Press ON.
Press STAT.
Hit ENTER to choose Edit (or press 1).
Type your x-values into L1.
NextBack
Click here to learn how to delete.
If you need to delete any entries,just move you cursor over the entryand hit the DEL (delete) button.
If you need to clear an entirecolumn, move your cursor up to thecolumn name (L1 or L2 or whichever) and hit CLEAR andENTER. Do NOT hit DEL on thename of the column, or it willactually remove the entire column.L1 or L2 will no longer exist, andyou will have to reset the calculator.
First, press ON.First, press ON.
Press ON.
Press STAT.
Hit ENTER to choose Edit (or press 1).
Type your x-values into L1.
Use the right arrow to move to L2.
NextBack
First, press ON.First, press ON.
Press ON.
Press STAT.
Hit ENTER to choose Edit (or press 1).
Type your x-values into L1.
Use the arrows to move to L2.
Type your y-values into L2.
NextBack
First, press ON.First, press ON.
Press ON.
Press STAT.
Hit ENTER to choose Edit (or press 1).
Type your x-values into L1.
Use the arrows to move to L2.
Type your y-values into L2.
Now hit [2nd] [Y=] to access STAT PLOT.
NextBack
First, press ON.First, press ON.
Press ON.
Press STAT.
Hit ENTER to choose Edit (or press 1).
Type your x-values into L1.
Use the arrows to move to L2.
Type your y-values into L2.
Now hit [2nd] [Y=] to access STAT PLOT.
Press ENTER to look at Plot1.
NextBack
First, press ON.First, press ON.
Press ON.
Press STAT.
Hit ENTER to choose Edit (or press 1).
Type your x-values into L1.
Use the arrows to move to L2.
Type your y-values into L2.
Now hit [2nd] [Y=] to access STAT PLOT.
Press ENTER to look at Plot1.
Press ENTER to turn ON the plot. Make sure your screen looks like what you see on the left. If not, use your arrows to move around and press ENTER to highlight the appropriate choices.
NextBack
First, press ON.First, press ON.
Press ON.
Press STAT.
Hit ENTER to choose Edit (or press 1).
Type your x-values into L1.
Use the arrows to move to L2.
Type your y-values into L2.
Now hit [2nd] [Y=] to access STAT PLOT.
Press ENTER to look at Plot1.
Press ENTER to turn ON the plot. Make sure your screen looks like what you see on the left. If not, use your arrows to move around and press ENTER to highlight the appropriate choices.
Now hit ZOOM…
NextBack
First, press ON.First, press ON.
Press ON.
Press STAT.
Hit ENTER to choose Edit (or press 1).
Type your x-values into L1.
Use the arrows to move to L2.
Type your y-values into L2.
Now hit [2nd] [Y=] to access STAT PLOT.
Press ENTER to look at Plot1.
Press ENTER to turn ON the plot. Make sure your screen looks like what you see on the left. If not, use your arrows to move around and press ENTER to highlight the appropriate choices.
Now hit ZOOM…and then 9 (or scroll down with the arrows and choose 9: ZoomStat.
NextBack
First, press ON.First, press ON.
Now we’ve got our scatterplot of the data!
Next, we are going to find the “Line of Best Fit” using the calculator’s Linear Regression feature…
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Finding the Line of Finding the Line of Best FitBest Fit
Now that we have the Now that we have the scatterplot, we will scatterplot, we will find the line of best find the line of best fit…fit…
First, press ON.First, press ON.
Press STAT again.
NextBack
First, press ON.First, press ON.
Press STAT again.
Press Right Arrow to move to the CALC menu…
NextBack
First, press ON.First, press ON.
Press STAT again.
Press Right Arrow to move to the CALC menu…
Press 4 to choose LinReg(ax+b). [Or you can use the arrows to move down and then hit ENTER.]
NextBack
First, press ON.First, press ON.
Press STAT again.
Press Right Arrow to move to the CALC menu…
Press 4 to choose LinReg(ax+b). [Or you can use the arrows to move down and then hit ENTER.]
Press VARS.
NextBack
First, press ON.First, press ON.
Press STAT again.
Press Right Arrow to move to the CALC menu…
Press 4 to choose LinReg(ax+b). [Or you can use the arrows to move down and then hit ENTER.]
Press VARS.
Press Right Arrow to choose Y-VARS.
NextBack
First, press ON.First, press ON.
Press STAT again.
Press Right Arrow to move to the CALC menu…
Press 4 to choose LinReg(ax+b). [Or you can use the arrows to move down and then hit ENTER.]
Press VARS.
Press Right Arrow to choose Y-VARS.
Press ENTER to choose 1:Function.
NextBack
First, press ON.First, press ON.
Press STAT again.
Press Right Arrow to move to the CALC menu…
Press 4 to choose LinReg(ax+b). [Or you can use the arrows to move down and then hit ENTER.]
Press VARS.
Press Right Arrow to choose Y-VARS.
Press ENTER to choose 1:Function.
Press ENTER to choose Y1 (or choose any other you like).
NextBack
First, press ON.First, press ON.
Press STAT again.
Press Right Arrow to move to the CALC menu…
Press 4 to choose LinReg(ax+b). [Or you can use the arrows to move down and then hit ENTER.]
Press VARS.
Press Right Arrow to choose Y-VARS.
Press ENTER to choose 1:Function.
Press ENTER to choose Y1 (or choose any other you like).
Now, press ENTER one more time to run the command LinReg(ax+b)Y1.
NextBack
First, press ON.First, press ON.
Now, if you hit [Y=] you can see that the function has automatically been put there for you!
NextBack
First, press ON.First, press ON.
Now, if you hit [Y=] you can see that the function has automatically been put there for you!
Write this on your paper as: y = 38.928571428571x + 819.04761904759
NextBack
First, press ON.First, press ON.
Now, if you hit [Y=] you can see that the function has automatically been put there for you!
Write this on your paper as: y = 38.928571428571x + 819.04761904759
Finally, hit GRAPH to see it graphed along with your data!
NextBack
This concludes the linear regression tutorial.This concludes the linear regression tutorial.