The amount of water used by the production facilities of a plant varies. Observations on water usage and other, possibly related, variables were collected for 17 months. The following model is fitted: USAGE = Bo + B1 TEMP + B2 PROD+ B3 DAYS+ B4 PAYR + Bs HOUR + E %3D where the variable is USAGE = monthly water usage (gallons/100) and the explanatory variables are response %3D TEMP = average monthly temperature (°F) amount of production number of operating days in the month number of people on the monthly plant payroll number of hours shut down for maintenance %3D PROD %3D DAYS PAYR HOUR Below is the selected SAS output with edit. Dependent Variable:NJSAGE monthly water usage (gallons/100) Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr> F Model Error 113.54388 Corrected Total 319.50011
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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The amount of water used by the production facilities of a plant varies. Observations on water usage and other,
possibly related, variables were collected for 17 months. The following model is fitted:
USAGE = Bo + Bi TEMP + B2 PROD+ B3 DAYS+ B4 PAYR + Bs HOUR + E
where the response variable is USAGE = monthly water usage (gallons/100) and the explanatory variables are
TEMP
average monthly temperature (°F)
amount of production
number of operating days in the month
number of people on the monthly plant payroll
PROD
%3D
DAYS
=
PAYR
HOUR
number of hours shut down for maintenance
%3D
Below is the selected SAS output with edit.
Dependent Variable:JSAGE monthly water usage (gallons/100)
Analysis of Variance
Sum of
Mean
Source
DF
Squares Square
F Value
Pr>F
Model
Error
113.54388
Corrected Total
319.50011
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