Cost accountants often estimate overhead based on the level of production. At the XYZ Company, they have collected information on overhead expenses and units produced at different plants and want to estimate a regression equation to predict future overhead. The data is available as given in the table below. Develop the regression equation for the cost accountants using Least Square Method. Predict overhead when 50 units are produced. Overhead Units 164 67 143 69 245 80 128 62 253 83 146 66 423 75 116 57 153 64 178 67
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Cost accountants often estimate overhead based on the level of production. At the XYZ
Company, they have collected information on overhead expenses and units produced at different
plants and want to estimate a regression equation to predict future overhead. The data is
available as given in the table below.
Develop the regression equation for the cost accountants using Least Square Method.
Predict overhead when 50 units are produced.
a)
b)
Overhead
Units
164
67
143
69
245
80
128
62
253
83
146
66
423
75
116
57
153
64
178
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