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BUACC2613 Management Accounting

Published : 07-Sep,2021  |  Views : 10

Question:

Management wishes to determine the cost behaviour patterns to help with the preparation of next year’s budget. The firm produces widgets and has provided the following data. Data regarding the number of units produced, maintenance hours and costs for last year are as follows

Products

Widgets

Indirect Labour

Indirect Labour

Months

Produced

Hours

Costs

January

80000

470

4050

February

68000

350

3300

March

69000

340

3160

April

64000

320

3030

May

90000

520

4470

June

85000

490

4260

July

55000

300

2820

August

85000

500

4350

September

62000

310

2960

October

82000

480

4200

November

60000

320

3000

December

70000

400

3600

Visually fit a cost line to the scatter diagram.Estimate the variable and fixed components of the department’s cost behaviour pattern using the visually fit cost line and specify an equation to express the department’s cost behaviour.
Estimate the cost behaviour using the high-low method. Use an equation to express the results of this estimation method.
  1. Compute the least-squares regression estimate of the variable and fixed-cost components. All manual calculations will need to be shown. This will incorporate the following calculations.
    • The coefficients of both the intercept and x variable
    • The coefficient of determination, r2measures the percentage of variation in Y explained by X (the independent variable). I.e. the proportion of the change in the dependent variable that is explained by the change in the independent variable.
    • Standard Error of Estimate: A measure of the reliability of the estimating equation.
    • The standard error of both the intercept and x variable.
    • The t-stat. will need to comment and explain what these mean and their significance
Estimate the variable and fixed components of the department’s cost behaviour pattern using the visually fit cost line and specify an equation to express the department’s cost behaviour.Estimate the cost behaviour using the high-low method. Use an equation to express the results of this estimation method.Compute the least-squares regression estimate of the variable and fixed-cost components. All manual calculations will need to be shown. This will incorporate the following calculations. 
  1. Use multiple regression analysis to estimate the behaviour of the indirect labour costs.Because there are two independent variables, it is necessary to use multiple regression analysis, utilising Excel.Calculate the total variable cost and the fixed cost per indirect labour hour at 600 hours and 87000 widgets. Explain the problems might occur when using fixed cost per hour in decisions.How well do the regressors, taken together, explain the variation in the dependent variable
  2. Are the regressors, taken together, significantly associated with the dependent variable What relationship does each regressor have with the dependent variable when all other regressors are held constant Which regressor has most effect on the dependent variable Are the relationships of each regressor with the dependent variable statistically significant, with all other regressors taken into account.

Answer:

(x-y)^2 Indirect Labour  Hours  (x)    
12816400 470 70 4900
8702500 350 -50 2500
7952400 340 -60 3600
7344100 320 -80 6400
15602500 520 120 14400
14212900 490 90 8100
6350400 300 -100 10000
14822500 500 100 10000
7022500 310 -90 8100
13838400 480 80 6400
7182400 320 -80 6400
10240000 400 0 0
126087000 0 0 80800
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