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
Calculate the edges in an undirected graph along with two vertices of degree 7, four vertices of degree 5, and the remaining four vertices of degree are 6? Ans: Total degree of

Apply the concept of partial fraction and add the corresponding terms. The terms will get cut automatically leaving the first and last term

When 6 boys were admitted & 6 girls left the percentage of boys increased from 60% to 75%. Find the original no. of boys and girls in the class. Ans: Let the no. of Boys be x

A car was machine washes every car in 5 minutes accurately. It has been calculated that customers will arrive as per to a Poisson distribution at an average of 8 per hour. Calculat

what is the derivatives of y=u/5+7 and u=5x-35 using the chain rule?

The Fisher's index The index of Fisher acts as a compromise between Paasche' index and Laspeyre's index. This is calculated as a geometric mean of the two indexes.

Dividing Whole Numbers: Example: Divide 347 by 5. Solution:                      Beginning from the left of the dividend, the divisor is divided into the

Find the Quadratic polynomial whose sum and product of zeros are √2 + 1, 1/ √2 + 1 Ans:    sum = 2  √2 Product = 1 Q.P = X 2 - (sum) x + Product ∴ x 2 - (2 √2 )

if HCFof 657 and 963 is expressable in the form of 657x+963x-15findx

Suppose m be a positive integer, then the two integer a and b called congurent modulo m ' if a - b is divisible by m i.e.  a - b = m where is an positive integer. The congru