How does loess function smooth data points? [on hold]

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I have used the R implemented function loess to smoothen data points.
Now I am trying to understand how this function works, e.g. which mathematical functions are used.
I know it's local regression using weights. However, I couldn't find an example from which I could fully understand the procedure.

Here is some sample data:

         x         y                 

 1   0.5578196  18.63654      

 2   2.0217271 103.49646       

 3   2.5773252 150.35391     

 4   3.4140288 190.51031      

 5   4.3014084 208.70115     

 6   4.7448394 213.71135      

 7   5.1073781 228.49353      

 8   6.5411662 233.55387

 9   6.7216176 234.55054

10   7.2600583 223.89225

11   8.1335874 227.68339

12   9.1224379 223.91982 

13  11.9296663 168.01999

14  12.3797674 164.95750

15  13.2728619 152.61107

16  14.2767453 160.78742

17  15.3731026 168.55567

18  15.6476637 152.42658

19  18.5605355 221.70702

20  18.5866354 222.69040

21  18.7572812 243.18828

r loess

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asked 11 hours ago

pineapple

486

put on hold as off-topic by zx8754, Cath, r.bot, Tensibai, hrbrmstr 11 hours ago

• This question does not appear to be about programming within the scope defined in the help center.

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  You can try ?loess or view(loess) if you are using RStudio.
  – J.Gourlay
  11 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  .. or pressing F2 while cursor is on loess function (if you are using RStudio), instead of View(loess).
  – Nutle
  11 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thanks for your answers! I just looked it up, but I would like to see it done by hand with my example data set
  – pineapple
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  Simplest way to see what exactly is loess doing with your data is by debugonce(loess) and running the loess on your data again. Then hop inside the loops and see how every point is produced
  – Nutle
  8 hours ago
  
  
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

I have used the R implemented function loess to smoothen data points.
Now I am trying to understand how this function works, e.g. which mathematical functions are used.
I know it's local regression using weights. However, I couldn't find an example from which I could fully understand the procedure.

Here is some sample data:

         x         y                 

 1   0.5578196  18.63654      

 2   2.0217271 103.49646       

 3   2.5773252 150.35391     

 4   3.4140288 190.51031      

 5   4.3014084 208.70115     

 6   4.7448394 213.71135      

 7   5.1073781 228.49353      

 8   6.5411662 233.55387

 9   6.7216176 234.55054

10   7.2600583 223.89225

11   8.1335874 227.68339

12   9.1224379 223.91982 

13  11.9296663 168.01999

14  12.3797674 164.95750

15  13.2728619 152.61107

16  14.2767453 160.78742

17  15.3731026 168.55567

18  15.6476637 152.42658

19  18.5605355 221.70702

20  18.5866354 222.69040

21  18.7572812 243.18828

r loess

share|improve this question

asked 11 hours ago

pineapple

486

put on hold as off-topic by zx8754, Cath, r.bot, Tensibai, hrbrmstr 11 hours ago

• This question does not appear to be about programming within the scope defined in the help center.

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  You can try ?loess or view(loess) if you are using RStudio.
  – J.Gourlay
  11 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  .. or pressing F2 while cursor is on loess function (if you are using RStudio), instead of View(loess).
  – Nutle
  11 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thanks for your answers! I just looked it up, but I would like to see it done by hand with my example data set
  – pineapple
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  Simplest way to see what exactly is loess doing with your data is by debugonce(loess) and running the loess on your data again. Then hop inside the loops and see how every point is produced
  – Nutle
  8 hours ago
  
  
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

up vote
0
down vote

favorite

I have used the R implemented function loess to smoothen data points.
Now I am trying to understand how this function works, e.g. which mathematical functions are used.
I know it's local regression using weights. However, I couldn't find an example from which I could fully understand the procedure.

Here is some sample data:

         x         y                 

 1   0.5578196  18.63654      

 2   2.0217271 103.49646       

 3   2.5773252 150.35391     

 4   3.4140288 190.51031      

 5   4.3014084 208.70115     

 6   4.7448394 213.71135      

 7   5.1073781 228.49353      

 8   6.5411662 233.55387

 9   6.7216176 234.55054

10   7.2600583 223.89225

11   8.1335874 227.68339

12   9.1224379 223.91982 

13  11.9296663 168.01999

14  12.3797674 164.95750

15  13.2728619 152.61107

16  14.2767453 160.78742

17  15.3731026 168.55567

18  15.6476637 152.42658

19  18.5605355 221.70702

20  18.5866354 222.69040

21  18.7572812 243.18828

r loess

share|improve this question

asked 11 hours ago

pineapple

486

I have used the R implemented function loess to smoothen data points.
Now I am trying to understand how this function works, e.g. which mathematical functions are used.
I know it's local regression using weights. However, I couldn't find an example from which I could fully understand the procedure.

Here is some sample data:

         x         y                 

 1   0.5578196  18.63654      

 2   2.0217271 103.49646       

 3   2.5773252 150.35391     

 4   3.4140288 190.51031      

 5   4.3014084 208.70115     

 6   4.7448394 213.71135      

 7   5.1073781 228.49353      

 8   6.5411662 233.55387

 9   6.7216176 234.55054

10   7.2600583 223.89225

11   8.1335874 227.68339

12   9.1224379 223.91982 

13  11.9296663 168.01999

14  12.3797674 164.95750

15  13.2728619 152.61107

16  14.2767453 160.78742

17  15.3731026 168.55567

18  15.6476637 152.42658

19  18.5605355 221.70702

20  18.5866354 222.69040

21  18.7572812 243.18828

r loess

r loess

share|improve this question

asked 11 hours ago

pineapple

486

share|improve this question

asked 11 hours ago

pineapple

486

share|improve this question

share|improve this question

asked 11 hours ago

pineapple

486

asked 11 hours ago

pineapple

486

asked 11 hours ago

pineapple

486

486

put on hold as off-topic by zx8754, Cath, r.bot, Tensibai, hrbrmstr 11 hours ago

• This question does not appear to be about programming within the scope defined in the help center.

If this question can be reworded to fit the rules in the help center, please edit the question.

put on hold as off-topic by zx8754, Cath, r.bot, Tensibai, hrbrmstr 11 hours ago

• This question does not appear to be about programming within the scope defined in the help center.

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  You can try ?loess or view(loess) if you are using RStudio.
  – J.Gourlay
  11 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  .. or pressing F2 while cursor is on loess function (if you are using RStudio), instead of View(loess).
  – Nutle
  11 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thanks for your answers! I just looked it up, but I would like to see it done by hand with my example data set
  – pineapple
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  Simplest way to see what exactly is loess doing with your data is by debugonce(loess) and running the loess on your data again. Then hop inside the loops and see how every point is produced
  – Nutle
  8 hours ago
  
  
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  You can try ?loess or view(loess) if you are using RStudio.
  – J.Gourlay
  11 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  .. or pressing F2 while cursor is on loess function (if you are using RStudio), instead of View(loess).
  – Nutle
  11 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thanks for your answers! I just looked it up, but I would like to see it done by hand with my example data set
  – pineapple
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  Simplest way to see what exactly is loess doing with your data is by debugonce(loess) and running the loess on your data again. Then hop inside the loops and see how every point is produced
  – Nutle
  8 hours ago
  
  
  

  
  
  
  

2

2

You can try ?loess or view(loess) if you are using RStudio.
– J.Gourlay
11 hours ago

You can try ?loess or view(loess) if you are using RStudio.
– J.Gourlay
11 hours ago

.. or pressing F2 while cursor is on loess function (if you are using RStudio), instead of View(loess).
– Nutle
11 hours ago

.. or pressing F2 while cursor is on loess function (if you are using RStudio), instead of View(loess).
– Nutle
11 hours ago

Thanks for your answers! I just looked it up, but I would like to see it done by hand with my example data set
– pineapple
9 hours ago

Thanks for your answers! I just looked it up, but I would like to see it done by hand with my example data set
– pineapple
9 hours ago

1

1

Simplest way to see what exactly is loess doing with your data is by debugonce(loess) and running the loess on your data again. Then hop inside the loops and see how every point is produced
– Nutle
8 hours ago

Simplest way to see what exactly is loess doing with your data is by debugonce(loess) and running the loess on your data again. Then hop inside the loops and see how every point is produced
– Nutle
8 hours ago

add a comment | 

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