Regression constants, Applied Statistics

Assignment Help:

The regression line should be drawn on the scatter diagram in such a way that when the squared values of the vertical distance from each plotted point to the line are added, the total amount will be the smallest possible amount. This criterion is called the Method of Least Squares.

Minimizing the sum of the squared differences of each value of Y from the regression line by the method of calculus, we arrive at two equations, called the normal equations:


343_regression constant.png

Solving these equations simultaneously, and using equivalent expressions for   1028_computation of covariance ungrouped data3.png   and    424_computation of covariance ungrouped data2.png   , we obtain the following formulae used to calculate the coefficients a and b in the regression line  =   1193_simple linear regression.png  = a + bX

         E(Y|X = x) = a + bx     

2242_regression constant1.png 


Related Discussions:- Regression constants

Calculate unbiased estimate of the variance, This question has two parts wi...

This question has two parts with multiple items to answer. You are a psychologist who has collected the subjective well-being scores of a number of elderly people aged 90 or abo

Expected average time, Question: A car was machine washes each car in 5 min...

Question: A car was machine washes each car in 5 minutes exactly. It has been estimated that customers will arrive according to a Poisson distribution at an average of 8 per hour.

O-give curves, real time applications on graphical representation of o-give...

real time applications on graphical representation of o-give curves

Descriptive statistics, find the average rate of increase in population whi...

find the average rate of increase in population which in the first decade has increased 20%.in the second 25% and in the third 44%

Evaluate central tendency and variability, Why are graphs and tables useful...

Why are graphs and tables useful when examining data? A researcher is comparing two middle school 7th grade classes. One class at one school has participated in an arts program

Package design ratings, Consider the sample of 60 package design ratings gi...

Consider the sample of 60 package design ratings given in the table below.                                    A Sample of Package Design Ratings                 (Composite S

Assignment 1: Testing Hypotheses for Means, Review the Learning Resources a...

Review the Learning Resources and the media programs related to t tests. For additional support, review the Skill Builder: Research Design and Statistical Design and the Skill Buil

Local truncation error, (a) If one solves the ordinary differential equati...

(a) If one solves the ordinary differential equation using Euler's method find an expression for the local truncation error. (b) Using the result of (a) above what will

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