[R] Improvement of Regression Model

[Jeff Newmiller]

a) This sounds like homework. This is not a homework support forum.

b) If it is not homework, you should take one or more classes on statistics. Your questions are more about theory than R and this is not a statistics theory mailing list.

c) You ask questions about the use of your data, but you provide no data or reproducible, self-contained R code, so even if it is not homework you are not providing us with a sporting chance at understanding your questions.  Read the Posting Guide.
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Sent from my phone. Please excuse my brevity.

Vignesh Prajapati <vignesh at tatvic.com> wrote:

>Hello folks,
>
>I am on learning phase of R. I have developed Regression Model over six
>predictor variables. while development, i found my all data are not
>very
>linear. So, may because of this the prediction of my model is not
>exact.
>
>   Here is the summary of model :
>Call:
>lm(formula = y ~ x_1 + x_2 + x_3 + x_4 + x_5 + x_6)
>
>Residuals:
>     Min       1Q   Median       3Q      Max
>-125.302  -26.210    0.702   26.261  111.511
>
>Coefficients:
>            Estimate Std. Error t value Pr(>|t|)
>(Intercept) 48.62944    0.27999 173.684  < 2e-16 ***
>x_1         -0.67831    0.08053  -8.423  < 2e-16 ***
>x_2          0.07476    0.49578   0.151 0.880143
>x_3         -0.22981    0.06489  -3.541 0.000399 ***
>x_4          0.01845    0.09070   0.203 0.838814
>x_5          3.76952    0.67006   5.626 1.87e-08 ***
>x_6          0.07698    0.01565   4.919 8.75e-07 ***
>---
>Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
>
>Residual standard error: 33.76 on 19710 degrees of freedom
>Multiple R-squared: 0.006298, Adjusted R-squared: 0.005995
>F-statistic: 20.82 on 6 and 19710 DF,  p-value: < 2.2e-16
>
>I have certain questions with this model
>
>1. Any way to improve the accuracy of this model?
>2.Which of the value is most useful among Residual standard
>error,degrees
>of freedom, Multiple R-squared, Adjusted R-squared, F-statisti, 
>p-value
>for choosing best model from numbers of model ?
>3.Is it appropriate to use polynomial model with these data?
>4.In case when i am using polynomial model for regression, which degree
>is
>most appropriate for it?
>
>
>Thanks
>Vignesh
>
>
>------------------------------------------------------------------------
>
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