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
Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1                                 d (a x ) /dx= a

A two-digit number is seven times the sum of its digits.  The number formed by reversing the digits is 18 less than the  original number. Find the original number.

Mount Everest is 29,028 ft high. Mount Kilimanjaro is 19,340 ft high. How much taller is Mount Everest? Subtract Mt. Kilimanjaro's height from Mt. Everest's height; 29,028 - 19

Properties 1.  ∫ b a f ( x ) dx = -∫ b a f ( x ) dx .  We can interchange the limits on any definite integral, all that we have to do is tack a minus sign onto the integral

Caterer determines that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. I

Describe the distribution of sample means shapefor samples of n=36 selected from a population with a mean of μ=100 and a standard deviation of o=12.  , expected value, and standard

A parcel of land, value $250,000 is sold to an investor who signs a contract agreeing to pay a deposit of $25,000 followed by equal quarterly payments for as long as necessary, wit

Ten is decreased through four times the quantity of eight minus three. One is then added to in which result. What is the final answer? The area of a square whose side measures

determine the square of the following numbers ... a.8 b.13 c.17 and d.80

Describe the Types of triangles ? Triangles can be classified according to the lengths of the sides or the measures of the angles. 1. Naming triangles by sides An