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

Harmonic mean, The Harmonic Mean is based on the reciprocals of numbers ave...

The Harmonic Mean is based on the reciprocals of numbers averaged. It is defined as the reciprocal of the arithmetic mean of the reciprocal of the given individual observations. Th

Make a decision about the claim, Make a decision about the given claim. Do...

Make a decision about the given claim. Do not use any formal procedures and exact calculation. Use only the rare event rule. Claim: A coin favors head when tossed, and there

QUARTILE DEVIATION, Examples of grouped, simple and frequency distribution ...

Examples of grouped, simple and frequency distribution data

LINEAR PROGRAMMING FOR SOLVNG INEQUALITIES, To use Linear Programming for s...

To use Linear Programming for solving the following inequalities. Following Twin Conditions (as mandated by the Indian Regulatory Authority) Twin Condition I for TV Broadcasters

Types of sampling, Given a certain population there are various ways in whi...

Given a certain population there are various ways in which a sample may be drawn from it. The chart below illustrates this point: Figure 1 In  Judgem

Types of correlation, Type of Correlation 1.      Positive and Negat...

Type of Correlation 1.      Positive and Negative Correlation: 2.      Simple Partial and Multiple Correlations. 3.      Linear and  Non linear or Correlations

Eliminate all of the insignificant variables, The file Midterm Data.xls ha...

The file Midterm Data.xls has a tab labeled "Many vs. S&P" which presents historical price data for several assets, a volatility condition (VIDX = 1 if the NYSE volatility is grea

Determine the lower and upper fences, To study the physical fitness of a sa...

To study the physical fitness of a sample of 28 people, the data below was collected representing the  number of sit-ups that a person could do in one minute.      10    12

Standard cost method, Under the standard cost method which is also referred...

Under the standard cost method which is also referred as the standard cost method ,stock receipts are assigned a standard cost. Any variations between the actual cost and standard

Pneumatic actuator design matrix, Pneumatic Actuator Design Matrix: The ra...

Pneumatic Actuator Design Matrix: The range of actuator design parameters have been provisionally assessed and are presented in Table. You are required to determine the following

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