Determine the subset of variables, Applied Statistics

Assignment Help:

Agency revenues. An economic consultant was retained by a large employment agency in a metropolitan area to develop a regression model for predicting monthly agency revenues ( y ). She decided that three economic indicators for the area were potentially useful as independent variables, namely, average weekly overtime hours of production workers in manufacturing ( 1 x ), number of job vacancies in manufacturing ( 2 x ), and index of help wanted advertising in newspapers ( 3 x ). Monthly observations on agency revenues and the three independent variables were obtained for the past 25 months. The ANOVA table for the model  is as follows:

1479_Determine the subset of variables.png

The consultant decided to screen the independent variables to determine the best set for predicting agency revenues. The regression sums of squares for all possible regression models were found to be as follows:

1358_Determine the subset of variables1.png

(a) Determine the subset of variables that is selected as best by the forward selection procedure using F0* = 4.2  (to-add-variable). Show your steps.
 
(b) Determine the subset of variables that is selected as best by the backward elimination procedure  using  F0** = 4.1 (to-delete-variable). Show your steps.

NOTE:   ( t0** ) 2  = F0**
 
(c) Determine the subset of variables that is selected as best by the stepwise regression procedure using  F0* = 4.2  (to-add) and F0**
= 4.1 (to-delete). Show your steps.


Related Discussions:- Determine the subset of variables

Analysis of variance (anova), Analysis of variance allows us to test whethe...

Analysis of variance allows us to test whether the differences among more than two sample means are significant or not. This technique overcomes the drawback of the method used in

Probability, Ask queFrom these studies, which of the following may be consi...

Ask queFrom these studies, which of the following may be considered a variable that can have a probability distribution? [I] Percentage of Sub-Saharan Africans that smoke [II] Perc

Draw a cumulative frequency polygon, The following data give the repair cos...

The following data give the repair costs (in RM) for 30 randomly selected cars from a list of cars involved in collisions. a)  By using RM 1 as the lower limit of the first

Systematic random sampling, Systematic Random Sampling This method  is ...

Systematic Random Sampling This method  is generally used in such cases where a complete list of the population is available from which sample has to be selected. Under this

Andrews ‘plots, Andrews ‘Plots A graphical display of multivariate da...

Andrews ‘Plots A graphical display of multivariate data in which an observation, x0 = [x1, x2, . . . , xq] is represented can be represented in the form of function A set

PERCENTAGES, CALCULATE THE PERCENTAGE OF REFUNDS EXPECTED TO EXCEED $1000 U...

CALCULATE THE PERCENTAGE OF REFUNDS EXPECTED TO EXCEED $1000 UNDER THE CURRENT WITHHOLDING GUIDELINES

Ryan-joiner - normal probability plot, The Null Hypothesis - H0:  The rando...

The Null Hypothesis - H0:  The random errors will be normally distributed The Alternative Hypothesis - H1:  The random errors are not normally distributed Reject H0: when P-v

Mean deviation, First Moment of Dispersion or Mean Deviation Mean devia...

First Moment of Dispersion or Mean Deviation Mean deviation or the average deviation is the measure if dispersion which   is based upon all the items in a variable .It is the a

Regression analysis and experimental design, For many decades, there has be...

For many decades, there has been considerable attention paid to identifying various factors that help to reduce the number of fatalities on Australian roads. In 1964 Victoria and S

Utility function, The decision maker ranks lotteries according to the utili...

The decision maker ranks lotteries according to the utility function (i) State the independence assumption. Does this decision maker satisfy it? (ii) Is this decision ma

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