The following data pertain to the chlorine residual ina swimming pool at various times after it has been treatedwith chemicals:Number of Chlorine residualhours (parts per million)2 1.84 1.56 1.48 1.110 1.112 0.9 (a) Fit a least squares line from which we can predict thechlorine residual in terms of the number of hours sincethe pool has been treated with chemicals.(b) Use the equation of the least squares line to estimatethe chlorine residual in the pool five hours after it hasbeen treated with chemicals.
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.
The following data pertain to the chlorine residual in
a swimming pool at various times after it has been treated
with chemicals:
Number of Chlorine residual
hours (parts per million)
2 1.8
4 1.5
6 1.4
8 1.1
10 1.1
12 0.9
(a) Fit a least squares line from which we can predict the
chlorine residual in terms of the number of hours since
the pool has been treated with chemicals.
(b) Use the equation of the least squares line to estimate
the chlorine residual in the pool five hours after it has
been treated with chemicals.
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