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 the frequency distribution, The Neatee Eatee Hamburger Joint spec...

The Neatee Eatee Hamburger Joint specializes in soyabean burgers. Customers arrive according to the following inter - arrival times between 11.00 am and 2.00 pm: Interval-arriva

Sampling error , Sampling Error  It is the difference between the value...

Sampling Error  It is the difference between the value of the actual population parameter and the sample statistic. Samples are used to arrive at conclusions regarding the p

Empirical mode, Empirical Mode Where mode is ill-defined, its value may...

Empirical Mode Where mode is ill-defined, its value may be ascertained by the following formula based upon the empirical relationship between Mean, Median and Mode: Mode = 3

Markov Chain, Each weekend, Derek either reads a book (B), goes to the cine...

Each weekend, Derek either reads a book (B), goes to the cinema (C), visits his local museum (M), or plays squash (S). If he reads a book one weekend, then he will take part in one

Find the probability customers pay their bill in full, The proportion of Am...

The proportion of American Express credit-card holders who pay their credit card bill in full each month is 23%; the other 77% make only a partial or no payment. (a) In a random

Confidence interval, for this proportion, use the +-2 rule of thumb to dete...

for this proportion, use the +-2 rule of thumb to determine the 95 percent confidence interval. when asked if they are satisfied with their financial situation, .29 said "very sat

Correlation matrix table, A.    Do the correlation matrix table. B.    W...

A.    Do the correlation matrix table. B.    Which variable (s) has the largest correlation coeffieient which is not a perfect correlation? C.    Which variable (s) has the s

Central tendency, Definition of Central Tendency The central tendency o...

Definition of Central Tendency The central tendency of a variable means a typical value around which other values tend to concentrate which can be measured. Such concentration

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

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