Multiple linear regression models, Mathematics

Multiple Linear Regression Models

There are situations whether there is more than one factor which influence the dependent variable

Illustration

Cost of production weekly in a large department depends on some factors:

i. Total numbers of hours worked

ii. Raw material utilized during the week

iii. Total number of items produced during the week

iv. Number of hours spent on maintenance and repair

This is sensible to use all the identified factors to predict department costs. Scatter diagram will not provide the relationship between total costs and the various factors. The linear model for multiple linear regressions if of the type that is the line of best fit

y = α + b1x1 +b2x2 +............ + bnxn

We suppose that residuals or errors are negligible. In order to choose among the models we examine the values of the multiple correlation coefficient r and the standard deviation of the residuals α. A model that describes well the relationship between x and y's has multiple correlation coefficient r close to ±1 and the value of α which is small.

Posted Date: 2/16/2013 7:24:30 AM | Location : United States







Related Discussions:- Multiple linear regression models, Assignment Help, Ask Question on Multiple linear regression models, Get Answer, Expert's Help, Multiple linear regression models Discussions

Write discussion on Multiple linear regression models
Your posts are moderated
Related Questions
Factoring Out a Common Monomial Factor? Say you have a polynomial, like 3x 4 y - 9x 3 y + 12x 2 y2 z and you want to factor it. Your first step is always to look for t

A mailbox opening is 4.5 inches high and 5 inches wide. Determine the widest piece of mail able to ?t in the mailbox without bending? a. 9.5 inches b. 2.2 inches c. 6.7 in

All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]

Give all solutions between o degree and 360 degree for sin x=3/2

Q. How to calculate Mode? The mode of a data set is the value that is repeated most often in the data set. It has the highest frequency. There can be one, more than one, or n

6987+746-212*7665

Shane rolls a die numbered 1 by 6. What is the probability Shane rolls a 5? From 2:15 P.M. to 4:15 P.M. is 2 hours. After that, from 4:15 P.M. to 4:45 P.M. is another half hour

How should Shoppers’ Stop develop its demand forecasts?

Factor following.                    x 2 - 20 x + 100 Solution In this case we've got three terms & it's a quadratic polynomial.  Notice down as well that the constant

Array - when items are arranged in a regular rectangular pattern of rows and columns, counting how many there are. (e.g., if there are 3 rows of 5 girls each, how many girls are t