Standard error, Applied Statistics

Assignment Help:

Standard Error

The measure of reliability of the estimating equation that we have developed is given by standard error of estimate. The standard error of estimate represented by se is similar to the standard deviation as both are measures of dispersion. The standard error measures the variability, or scatter, of the observed values around the regression line.

The standard error of the estimate for a regression equation is given by

se = 2135_standard error.png

where,

= values of the dependent variable
384_standard error2.png = estimated values from the estimating equation that correspond to each Y value
n = number of data points used to fit the regression line

In the above equation you can observe the sum of the squared deviations is divided by n-2 and not by n. This is because we have lost 2 degrees of freedom in estimating the regression line. We used the sample to compute a and b.

Equation for calculating standard error of estimate is also given by formula

se = 374_standard error1.png

Related Discussions:- Standard error

Recitilinear motion, velocity of a particle which moves along the s-axis is...

velocity of a particle which moves along the s-axis is given by v=2-4t+5t then find position velocity,acceleration

Chi square test as a distributional goodness of fit, Chi Square Test as a D...

Chi Square Test as a Distributional Goodness of Fit In day-to-day decision making managers often come across situations wherein they are in a state of dilemma about the applica

Scatter diagram - correlation analysis, Scatter Diagram The first step ...

Scatter Diagram The first step in correlation analysis is to visualize the relationship. For each unit of observation in correlation analysis there is a pair of numerical value

Analysis of covariance (ancova), Analysis of covariance (ANCOVA) It is ...

Analysis of covariance (ANCOVA) It is initially used for an expansion of the analysis of variance which permits to the possible effects of continuous concomitant variables (suc

Decision making ., it is said that management is equivalent to decision mak...

it is said that management is equivalent to decision making? do you agree? explain

Effect in frequency domain, A) The three images shown below were blurred us...

A) The three images shown below were blurred using square masks of sizes n=23, 25, and 45, respectively. The vertical bars on the le_ lower part of (a) and (c) are blurred, but a c

What is the p-value, Use the information given below to find the P-value. ...

Use the information given below to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to

Simple linear regression, Simple Linear Regression   While correlati...

Simple Linear Regression   While correlation analysis determines the degree to which the variables are related, regression analysis develops the relationship between the var

PERCENTAGES, CALCULATE THE PERCENTAGE OF REFUNDS EXPECTED TO EXCEED $1000 U...

CALCULATE THE PERCENTAGE OF REFUNDS EXPECTED TO EXCEED $1000 UNDER THE CURRENT WITHHOLDING GUIDELINES

Cartogram or mapograph, Cartogram or Mapograph:   Statistical maps are a...

Cartogram or Mapograph:   Statistical maps are also used to represent data like density of population indifferent states in the country or different countries in the world or th

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