Linear Regression A step-by-step tutorial Copyright 2007 College of the Redwoods First edition by...

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Linear Linear Regression Regression A step-by- A step-by- step step tutorial… tutorial… Copyright © 2007 College of the Redwoods First edition by Aeron Ives.

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First, press ON. Press ON. NextBack

Transcript of Linear Regression A step-by-step tutorial Copyright 2007 College of the Redwoods First edition by...

Page 1: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

Linear Linear RegressionRegression

A step-by-step A step-by-step tutorial…tutorial…

Copyright © 2007 College of the RedwoodsFirst edition by Aeron Ives.

Page 2: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First 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…

Page 3: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

First, press ON.First, press ON.

Press ON.

NextBack

Page 4: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

First, press ON.First, press ON.

Press ON.

Press STAT.

NextBack

Page 5: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

First, press ON.First, press ON.

Press ON.

Press STAT.

Hit ENTER to choose Edit (or press 1).

NextBack

Page 6: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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.

Page 7: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 8: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 9: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 10: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 11: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 12: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 13: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 14: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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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Page 15: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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…

Page 16: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

First, press ON.First, press ON.

Press STAT again.

NextBack

Page 17: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

First, press ON.First, press ON.

Press STAT again.

Press Right Arrow to move to the CALC menu…

NextBack

Page 18: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 19: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 20: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 21: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 22: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 23: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 24: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 25: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 26: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

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

Page 27: Linear Regression A step-by-step tutorial Copyright  2007 College of the Redwoods First edition by Aeron Ives.

This concludes the linear regression tutorial.This concludes the linear regression tutorial.