Illustration of standard error of estimate , Managerial Accounting

Assignment Help:

Illustration of Standard error of estimate

The production manager of XYZ Company is concerned about the apparent fluctuation in efficiency and wants to determine how labour costs (in Sh.) are related to volume. The following data presents results of the 12 most recent weeks.

979_table.jpg

1232_se3.jpg


    = 48.95

The sample size, n, is reduced by 2 because 2 variables ‘a’ & ‘b’ in the regression equation had to be estimated from the sample observations.

The calculation of the standard error is necessary because the least square line was calculated from sample data. The other samples would most likely outcome in different estimates. Obtaining the least square calculation over all the possible observations that might occur would result in the calculation of the true least square line. The question is “How near does the sample estimate of least square line come to the accurate least square line.

Standard error is similar to standard deviation in normal probability analysis. This is a measure of variability about the regression line. The std error of estimates enables us to establish a variety of values of the dependent variable in which we may have some degree of confidence that the true value lies. We can use the following equation to establish this range:

Y – tcSe  ≤Y ≤ Y + tcSe

From the above ill, where Y34 = 284.48, the 95% confidence interval can be calculated as follows:

284.48 - 2.2281(48.95)   ≤ Y ≤ 284.48 + 2.2281 (48.95) ≤ Y ≤ 393.6

We are 95% confident that if X is estimated to be 34 units next period, the true labour cost will lie between 175.4 and 393.6.  Note tc from the student T tables, with 10 degrees of freedom and 5% significance level, is equal to 2.2281.

 

 


Related Discussions:- Illustration of standard error of estimate

Describe the benefits of operating decisions - relevant cost, Relevant cost...

Relevant costs and benefits for operating decisions: In operating decisions, concentration is on best use of existing capacity. Incremental analysis based on differential cost

Constructing the model, Constructing the Model Steps: 1) Identif...

Constructing the Model Steps: 1) Identify the objectives of the simulation (A detailed listing of the results expected will help to clarify the output variables. 2) R

Calculate the net increase or decrease in monthly profit, Painter Ltd, whic...

Painter Ltd, which manufactures and sells a single product, is currently producing and selling 102,000 units per month, which represents 85% of its full capacity. Total monthly cos

Job Order Costing, Salialailai Ltd manufactures water tanks for different s...

Salialailai Ltd manufactures water tanks for different sizes for use by industrial customers. The company uses a job costing system, in which manufacturing overhead is applied on t

Cost-price-total revenue and quantity changes, Quasar Computers are the fir...

Quasar Computers are the first all optical notebooks and their profit largely affects the manipulations in cost, price, total revenue and quantity changes. The market analysis show

Transportation model table, Transportation model Table A more compact m...

Transportation model Table A more compact method for representing the transportation model than the linear equations is to use what we call the transportation tableau. It is a

Explain support activities and production process activity, Explain Support...

Explain Support activitiesand production process activity Support activities are for example schedule production set up machine purchase materials inspect item customer orde

What value can management derive from a balance scorecard, What value can m...

What value can management derive from a Balance Scorecard? How does the management accountant contribute?

Cost estimation and management of overhead cost, How might a company use re...

How might a company use regression results to manage overhead costs?

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