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I am doing a regression analysis, and my dependent variable y density is as followsDensity plot[1]I was wondering if some sort of data transformation will help?

Is it possible to add another noise dummy variable that might improve the results?

Blue is my prediction red is actual results

Following plots may help enter image description here

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I tried to ask for further details, but I did not get a positive response. I plotted each predictor against response and found none of the predictors is related to the response. However, the superposed plot of previous values and the current value of response was an interesting one. At the moment the best prediction I can get is the previous $"y"$ value.

enter image description here

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  • $\begingroup$ Your y is insanely leptokurtic. See some suggestions for possible transformations here: stats.stackexchange.com/a/59615/130869 or here: stats.stackexchange.com/questions/85687/… $\endgroup$
    – Mark White
    May 28, 2017 at 6:11
  • $\begingroup$ Yeh! Most of the y values are clustered around 0 and 1.8. The rest are all over the place. $\endgroup$
    – Waqas
    May 28, 2017 at 6:15
  • $\begingroup$ Can I use some kernel to transform the data? $\endgroup$
    – Waqas
    May 28, 2017 at 17:44
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    $\begingroup$ What kind of data is your dependent? You should give more background information. $\endgroup$
    – Roland
    May 29, 2017 at 13:06
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    $\begingroup$ If you have no background knowledge about the data, not even what it represents, then what exactly are you "analyzing"? If this is a prediction problem, then just throw it into your favorite regression/classification algorithm and be done with it. If its a statistical inference problem, then it's a bit strange to "infer" anything about the data if you don't even know what the data represents. Might be worthwhile to ask for more information from the people who "asked [you] to analyze the data". $\endgroup$
    – Georg M. Goerg
    Jun 1, 2017 at 3:59

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