Yates Corp. wants to develop a cost equation for its administrative costs. The controller believes the appropriate cost driver is units produced. Last year's data are presented below:
Month January February March April May June July Alugust September October November December Units Produced32,50037,70024,70040,30049,40042,90053,30045,50026,00048,10061,10054,600Administrative Costs$24,28827,72017,82030,36037,29029,04032,67030,03020,46034,32040,92036,630
SUMMARY OUTPUT Regrerrian Statirticr Multiple R R Squjare Adjusted R-Square Starddard Error Observations 0.965380.9319650.9251621,881.2312
Irtercept Units produced Coefficiend 4,919.480.586154 Standard Error 2,221.3290.050082 t Stat 2.2111.70 P-valke 0.0511563.69E−07 Lower 95% −29.94850.474560 Upper 95% 9,868.9090.697743
Required:
(a.) What is the equation for administrative costs using the regression analysis?
(b.) Does the variable "units produced" have statistical significance? Explain.
(c.) Prepare an estimate of administrative costs for a month when 30,000 units are produced.
Definitions:
Uninformed Party
An individual or entity in a transaction who lacks pertinent information or knowledge that the other party may possess, leading to a potential imbalance in the transaction.
Informed Party
An individual or entity that possesses full knowledge of the pertinent facts and information related to a specific transaction or situation.
Information Asymmetry
A situation in which one party in a transaction has more or superior information compared to another party.
Worker
An individual engaged in a specific activity or labor, especially for pay.