Cost Behavior and Correlation Analysis PC's total maintenance cost for the past 10 months is Php50,000.00. Some of the maintenance activity appears related to the operation of machinery, and the accountant wants to determine whether machine hours should be used as a basis upon which to estimate maintenance cost at various levels of capacity. Machine hours for the same period totalled 40,000 hours. The machine hour differences from average multiplied by the maintenance cost differences from its average and summed E(x¡ – x)(yi – y) is 2,400. The machine hour differences from average squared and summed E(x¡ – x)² is 6,250, and the maintenance cost differences from average squared and summed E(y; – y)? is 1,000. Required: 1. Compute the coefficient of correlation, r, and the coefficient of determination,r², for maintenance cost and machine hours. 2. Compute the variable maintenance cost per machine hour, using the method of least squares. 3. Compute the fixed maintenance cost, using the method of least squares.

Cost Behavior and Correlation Analysis PC's total maintenance cost for the past 10 months is Php50,000.00. Some of the maintenance activity appears related to the operation of machinery, and the accountant wants to determine whether machine hours should be used as a basis upon which to estimate maintenance cost at various levels of capacity. Machine hours for the same period totalled 40,000 hours. The machine hour differences from average multiplied by the maintenance cost differences from its average and summed E(x¡ – x)(yi – y) is 2,400. The machine hour differences from average squared and summed E(x¡ – x)² is 6,250, and the maintenance cost differences from average squared and summed E(y; – y)? is 1,000. Required: 1. Compute the coefficient of correlation, r, and the coefficient of determination,r², for maintenance cost and machine hours. 2. Compute the variable maintenance cost per machine hour, using the method of least squares. 3. Compute the fixed maintenance cost, using the method of least squares.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Answer only the requirement 2 and 3.

Cost Behavior and Correlation Analysis
PC's total maintenance cost for the past 10 months is Php50,000.00. Some of the maintenance activity
appears related to the operation of machinery, and the accountant wants to determine whether machine
hours should be used as a basis upon which to estimate maintenance cost at various levels of capacity.
Machine hours for the same period totalled 40,000 hours. The machine hour differences from average
multiplied by the maintenance cost differences from its average and summed E(x¡ – x)(yi – ỹ) is 2,400.
The machine hour differences from average squared and summed E(x¡ –x)² is 6,250, and the
maintenance cost differences from average squared and summed E(yi – y)² is 1,000.
Required:
1. Compute the coefficient of correlation, r, and the coefficient of determination,r2, for maintenance
cost and machine hours.
2. Compute the variable maintenance cost per machine hour, using the method of least squares.
3. Compute the fixed maintenance cost, using the method of least squares.

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