PoojaMoolya: Created page with " {|border=1 || '''Time''' || '''Narration''' |- ||00:01 || Welcome to this '''tutorial''' on '''Statistics using GeoGebra'''. |- || 00:06 || In this '''tutorial''', we will..."

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Created page with " {|border=1 || '''Time''' || '''Narration''' |- ||00:01 || Welcome to this '''tutorial''' on '''Statistics using GeoGebra'''. |- || 00:06 || In this '''tutorial''', we will..."

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{|border=1
|| '''Time'''
|| '''Narration'''

|-
||00:01
|| Welcome to this '''tutorial''' on '''Statistics using GeoGebra'''.
|-
|| 00:06
|| In this '''tutorial''', we will learn how to use '''GeoGebra''' to perform:

|-
|| 00:12
|| '''One Variable Analysis''' to calculate different statistical parameters.

|-
|| 00:18
|| '''Two Variable Regression Analysis''' to estimate best fit line.

|-
|| 00:23
|| '''Multiple Variable Analysis''' to calculate different statistical parameters.
|-
|| 00:29
|| Here I am using:

'''Ubuntu Linux '''Operating System version 16.04.

|-
|| 00:36
|| '''GeoGebra''' 5.0.481.0 hyphen d.

|-
|| 00:43
|| To follow this '''tutorial''', you should be familiar with:

'''GeoGebra''' interface, Statistics
|-
|| 00:51
||Statistics deals with

Data analysis and interpretation.

|-
|| 00:56
|| Measures of '''central tendency'''.

|-
|| 00:59
|| Measures of '''Dispersion'''.

|-
|| 01:02
|| Comparing '''variability''' of data series.

|-
|| 01:06
|| Please refer to '''additional material''' provided along with this '''tutorial'''.
|-
|| 01:12
|| '''Fish Feed '''

|-
|| 01:14
|| Let us look at an example.

|-
|| 01:17
|| A fishery is testing four types of feed formulations on its fish: '''A''', '''B''', '''C''' and '''D'''.

|-
|| 01:26
|| Data to be collected after feeding the fish for 6 months are:

Length in millimeters, Weight in pounds, Girth in millimeters.

|-
|| 01:39
|| Let us look at some of these data.
|-
|| 01:42
||'''Fish Feed Data'''

|-
|| 01:44
|| We will use these data for our '''analyses'''.

|-
|| 01:49
|| Please download the '''code file''', '''Fishery-data''', provided along with this '''tutorial'''.
|-
|| 01:57
|| I have opened the '''GeoGebra''' interface.
|-
|| 02:01
|| Click on '''View''' tool and select '''Spreadsheet'''.
|-
|| 02:07
|| Click on '''X''' at top right corner of '''Graphics''' and '''Algebra''' views.

This will close these views.
|-
|| 02:17
|| In the '''code file''', drag '''mouse''' to highlight length and weight data from '''columns H''' and '''I'''.

|-
|| 02:26
|| These are data for fish that have been fed formulation '''C'''.

|-
|| 02:32
|| Hold '''Control''' key down and press '''C'''.
|-
|| 02:36
|| Click in the top of the '''Spreadsheet''' in '''GeoGebra'''.
|-
|| 02:41
|| Hold '''Control''' key down and press '''V'''.

|-
|| 02:45
|| This will copy and paste the highlighted data from the '''code file''' into '''GeoGebra'''.
|-
|| 02:52
|| Place the '''cursor''' on the first column header in '''Spreadsheet''' view.

|-
|| 02:58
|| Drag and adjust '''column A's''' width.
|-
|| 03:02
|| Right-click on '''column A''' heading of '''Length millimetres'''.

|-
|| 03:08
|| Select '''Object Properties'''.

|-
|| 03:11
|| A '''dialog box''' opens.
|-
|| 03:14
|| Click on '''Text tab''' and change the name to '''Length millimetres hyphen '''C'''.

|-
|| 03:23
|| Close the '''dialog box'''.

|-
|| 03:26
|| Similarly, add '''hyphen C''' to '''Weight pounds'''.
|-
|| 03:35
|| Adjust '''column B''' width.
|-
||03:38
|| Click on '''column A''' heading of '''Length millimetres C'''.

|-
|| 03:44
|| Drag to highlight length data in '''Spreadsheet''' view.
|-
|| 03:49
|| Below the '''menubar''', click on '''One Variable Analysis''' tool.

|-
|| 03:55
|| A '''Data Source''' popup window appears.

Click on '''Analyze button'''.
|-
|| 04:02
|| A '''Data Analysis''' window appears.

|-
|| 04:06
|| By default, a '''histogram''' is plotted.
|-
|| 04:10
|| Drag the boundary to see the graph properly.
|-
|| 04:14
|| The length is plotted on the '''x-axis'''.

|-
|| 04:18
|| The number of fish that are of a particular length, the '''frequency''', is plotted on the '''y-axis'''.
|-
||04:26
|| Note the '''display box''' above the graph containing the word '''Histogram'''.
|-
|| 04:32
|| In the '''display box''', click on the '''dropdown menu button''' to display the list of plots.
|-
|| 04:39
|| We will stay with the '''histogram''' option.

|-
|| 04:43
|| To the right of the '''dropdown menu''' is a '''slider'''.
|-
|| 04:48
|| Drag the '''slider''' from left to right to go to 20.
|-
|| 04:53
|| The '''slider''' changes the number of rectangles between the minimum and maximum values of data.
|-
|| 05:01
|| Click on '''Options''' button to the right of the '''slider'''.
|-
|| 05:06
|| Under '''Classes''', check '''Set Classes Manually check box'''.

|-
|| 05:12
|| This displays '''Start''' and '''Width text-boxes''' to the left of the '''Options button'''.
|-
|| 05:19
|| As all the fish are over 800 milimeters long, type 800 in the '''Start text-box''' and press '''Enter'''.

|-
|| 05:29
|| We will stay with the default value of 5 for rectangle '''width'''.
|-
|| 05:35
|| Uncheck '''Set Classes Manually''' check box.
|-
|| 05:39
|| Under '''Show''', uncheck '''Histogram''' check box to make it disappear.
|-
|| 05:45
|| Scroll down and check '''Frequency Polygon''' to show it.
|-
|| 05:51
|| Under '''Frequency Type''', check '''Cumulative''' option.
|-
|| 05:56
|| The default '''Count''' selection shows the '''cumulative frequency count''' for the data.
|-
|| 06:03
|| Drag the '''slider''' and note the effects on smoothness of the '''cumulative frequency count curve'''.

|-
|| 06:11
|| We will drag the '''slider''' back to 20.
|-
|| 06:15
|| Under '''Frequency Type''', uncheck '''Cumulative''' and under '''Show''', uncheck '''Frequency Polygon'''.
|-
|| 06:24
|| Under '''Show''', check '''Histogram''' .

And click on '''Options''' button again to hide the window.
|-
|| 06:33
|| Above the '''Histogram text-box''', click on the third '''Show Data tool button'''.

|-
|| 06:40
|| This displays all the data highlighted in the '''Spreadsheet'''.
|-
|| 06:45
|| Drag the boundary to see the data properly.
|-
|| 06:49
|| Click on the '''Show Data''' tool again to hide the list.
|-
|| 06:55
|| Above the '''Histogram text-box''', click on the last '''Show 2nd Plot tool button'''.
|-
|| 07:02
|| The same data are graphed in two vertically placed plots.

|-
|| 07:07
|| You can select plot types from the '''dropdown menu button''' above each plot.
|-
|| 07:14
|| Above the '''Histogram text box''', click on the second '''Show Statistics tool button'''.

|-
|| 07:22
|| '''Statistics''' for the plot appears as a '''panel''' in the middle.
|-
|| 07:27
|| Drag the boundary to see it properly.
|-
|| 07:31
|| '''Box Plot'''

'''Box plot''' is a standardized way of showing data, based on the '''five number summary'''.
|-
|| 07:41
|| Let us compare '''histogram''' and '''box plot'''.

|-
|| 07:45
|| In the '''box plot''', locate the '''Median''', '''Min''', '''Max''', '''Q1''' and '''Q3''' values.
|-
|| 07:57
|| Above each plot, in the upper right corner, click on the '''button''' next to '''Options'''.

|-
|| 08:06
|| A '''dropdown menu''' appears with which you can copy each plot to '''Clipboard''' or '''export''' it as an '''image'''.

|-
|| 08:15
|| Click on '''Show Statistics tool button''' to hide the data.
|-
|| 08:21
|| Close the '''Data Analysis''' window.
|-
|| 08:25
|| '''Least Squares Linear Regression (LSLR)'''

|-
|| 08:30
|| Changing an independent variable '''x''' changes the dependent variable '''y'''.

|-
|| 08:36
|| '''LSLR''' predicts '''y''' based on '''x''' value.

|-
|| 08:41
|| '''Least Squares Regression Line (LSRL)''' is also called the '''best fit line'''.

|-
|| 08:49
|| It is given by '''y = b0 + b1x'''.

|-
|| 08:55
|| '''b1''', the '''slope''', is the '''regression coefficient'''.

|-
|| 09:00
|| '''Coefficient of determination R squared'''

|-
|| 09:04
|| '''R squared''' ranges from 0 to 1.

|-
|| 09:08
|| The closer '''R squared''' is to 1, the better is the prediction of variance in '''y''' from '''x'''.
|-
|| 09:16
|| Let us go back to the length and weight data in the '''Spreadsheet''' view in '''GeoGebra'''.
|-
|| 09:23
|| Drag and select all the data in both '''columns'''.
|-
|| 09:29
|| Under '''One Variable Analysis''', click on '''Two Variable Regression Analysis''' tool.
|-
|| 09:36
|| In the '''Data Source window''' that pops up, click '''Analyze button'''.
|-
|| 09:41
|| A '''Data Analysis''' window appears with two plots.
|-
|| 09:46
|| By default, the upper plot is a '''Scatterplot''' and the lower a '''Residual plot'''.
|-
||09:54
|| Click on '''Show Statistics''' tool to see the '''Statistics'''.
|-
|| 10:00
|| Drag the boundary to see them properly.
|-
|| 10:04
|| Below the '''Statistics window''', click on the '''Regression Model menu button''' and select '''Linear'''.
|-
|| 10:13
|| Note the red line in the '''Scatterplot'''.
|-
|| 10:17
|| This is the '''best fit line''' that passes through as many points as possible.

|-
|| 10:23
|| Its equation is given in red at the bottom.
|-
|| 10:28
|| This ''' R squared''' value indicates good fit between the model and the actual data.
|-
|| 10:36
|| Select other '''regression models''' to see effects on the '''R squared''' value.
|-
|| 10:43
|| The lower plot is the '''Residual Plot'''.

|-
|| 10:47
|| '''Residuals '''are the differences between observed and predicted values of all points.
|-
|| 10:54
|| Above the '''Statistics window''', click on the last '''Switch Axes button'''.
|-
|| 11:00
|| For the '''scatterplot''', length is now plotted along '''y axis''' and weight along '''x axis'''.
|-
|| 11:08
|| Observe that the '''best fit line''' and many '''statistics''' change.

|-
|| 11:13
|| Its equation is now '''y= 9.91x + 684.3'''.
|-
|| 11:22
|| The only statistics that remain the same are '''r''', '''R squared '''and '''rho (ρ)'''.

|-
|| 11:31
|| Note that '''r''' and '''rho''' are greater than 0.8, indicating positive '''correlation'''.

|-
|| 11:39
|| Weight increases as length increases for fish given '''feed C'''.

|-
|| 11:46
|| The relationship is strong and well predicted by the '''best fit lines'''.
|-
|| 11:52
|| Again, click on '''Switch Axes button'''.
|-
|| 11:56
|| At the bottom, in '''Symbolic Evaluation''', you can enter a value for '''x''' to get a prediction for '''y'''.
|-
|| 12:04
|| To get logical predictions, we will enter '''x''' values above the '''x intercept'''.
|-
|| 12:11
|| In '''Symbolic Evaluation''', in the text-box for '''x''', type 800 and press '''Enter'''.
|-
|| 12:19
|| Note that a '''y''' value appears next to the '''display box'''.

|-
|| 12:25
|| The '''x''' value was substituted in the '''best fit line''' equation to get the '''y''' value.
|-
|| 12:32
|| Again, click on '''Show Statistics tool button'''.
|-
|| 12:37
|| Close the '''Data Analysis window'''.
|-
|| 12:40
|| Let’s go back to the length and weight data in the '''Spreadsheet'''.
|-
|| 12:45
|| In the '''Spreadsheet''', select all the data in both '''columns'''.
|-
|| 12:51
|| Under '''One Variable Analysis''', click on '''Multiple Variable Analysis''' tool.
|-
|| 12:59
|| In the '''Data Source window''' that pops up, click '''Analyze button'''.
|-
|| 13:04
|| '''Box Plots''' appear in the window.

|-
|| 13:07
|| They are for length and weight data.
|-
|| 13:11
|| Above the plot, click on the second '''Show Statistics''' tool.

|-
|| 13:17
|| '''Statistics''' for both plots appear below.
|-
|| 13:21
|| Place the '''cursor''' on the boundary between the plot and statistics.

|-
|| 13:27
|| When the '''arrow''' appears, drag the boundary to resize the windows.
|-
||13:34
|| Let us summarize.
|-
|| 13:36
|| In this '''tutorial''', we have learnt how to use '''GeoGebra''' to perform:

|-
|| 13:41
|| '''One Variable Analysis''' to calculate different statistical parameters.

|-
|| 13:47
|| '''Two Variable Regression Analysis''' to estimate best fit line.

|-
|| 13:52
|| '''Multiple Variable Analysis''' to calculate different statistical parameters.
|-
|| 13:58
|| '''Assignment'''

Perform statistical analyses for weight and girth data given in this '''tutorial'''.

|-
|| 14:07
|| Four oils were used to deep fry chips.

|-
|| 14:11
|| Amount of absorbed fat was measured for 6 chips fried in 4 oils.

|-
|| 14:19
|| Is any of the oils absorbed more than the others?
|-
|| 14:24
|| The video at the following link summarizes the '''Spoken Tutorial project'''.

Please download and watch it.
|-
||14:32
|| The '''Spoken Tutorial Project''' team conducts workshops and gives certificates.

For more details, please write to us.
|-
|| 14:42
|| Please post your timed queries on this forum.
|-
|| 14:46
|| '''Spoken Tutorial Project''' is funded by NMEICT, MHRD, Government of India.

More information on this mission is available at this link.
|-
||14:59
|| This is '''Vidhya Iyer''' from '''IIT Bombay''', signing off.

Thank you for joining.
|-
|}

Applications-of-GeoGebra/C3/Statistics-using-GeoGebra/English-timed - Revision history

PoojaMoolya: Created page with " {|border=1 || '''Time''' || '''Narration''' |- ||00:01 || Welcome to this '''tutorial''' on '''Statistics using GeoGebra'''. |- || 00:06 || In this '''tutorial''', we will..."