Residual plots, Advanced Statistics

Assignment Help:

Residual plots are the plots of some type of residual which might be helpful in assessing the assumption made by the fitted model. In regression analysis there are various methods of plotting the residual values which can be helpful in assessing particular components of the regression model. The most useful plots when diagnosing the linear regression models are given below;

* A boxplot or probability plot of the residuals can be useful in checking for symmetry and specifically for normality of the error terms in the regression model.

* Plotting the residuals against the corresponding values of the explanatory variable.

Any sign of curvature in the plot might suggest that say a quadratic term in the explanatory variable should be included in the model.

* Plotting residuals against fitted values of the response variable. If the variability of the residuals appears to increase with the increase in the size of the fitted values, a transformation of the response variable former to fitting is indicated.

Figure shows some idealized residual plots that indicate particular points about models.

* Figure (a) is what is looked for to confirm that the fitted model is appropriate,

* Figure (b) suggests that the assumption of constant variance is not justified so that some transformation of the response variable before fitting might be sensible,

* Figure (c) implies that the model requires a quadratic term in the explanantory variable.

 


Related Discussions:- Residual plots

Factorial moment generating function, The function of a variable t which, w...

The function of a variable t which, when extended formally as a power series in t, yields factorial moments as the coefficients of the respective powers. If the P(t) is probability

Bartlett decomposition, Bartlett decomposition : The expression for the ra...

Bartlett decomposition : The expression for the random matrix A which has a Wishart distribution as the product of the triangular matrix and the transpose of it. Letting each of x

Business statistics, I need you to help me for Business Statistics class wi...

I need you to help me for Business Statistics class with homework quizzes. Can you help to do it?

Determine the optimal strategy for the breeder, Consider a decision faced b...

Consider a decision faced by a cattle breeder. The breeder must decide how many cattle he should sell in the market each year and how many he should retain for breeding purposes. S

Reinterviewing, Reinterviewing  is the second interview for a sample of sur...

Reinterviewing  is the second interview for a sample of survey respondents in which questions of the original interview (or the subset of them) are repeated again. The same methods

Cluster analysis, Cluster analysis : A set of methods or techniques for con...

Cluster analysis : A set of methods or techniques for constructing a sensible and informative classi?cation of an initially unclassi?ed set of data, using variable values observed

LASPEYERES QUANTITY INDEX, HOW TO OBTAIN THE LASPEYRES QUANTITY INDEX AND T...

HOW TO OBTAIN THE LASPEYRES QUANTITY INDEX AND THE FORMULA

Explain post stratification adjustment, Post stratification adjustmen t: On...

Post stratification adjustmen t: One of the most often used population weighting adjustments used in the complex surveys, in which weights for the elements in a class are multiplie

Percentage, Looking for the correct answer.Y=50+.079(149)-.261(214)=

Looking for the correct answer.Y=50+.079(149)-.261(214)=

Explain knox''s test, Knox's tests: These tests designed to detect any ten...

Knox's tests: These tests designed to detect any tendency for the patients with a particular disease to form the disease cluster in time and space. The tests are relied on a two-b

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd