Q4 As a factory manager, you are concem about the health of your workers. In this regard, you have randomly sampled 15 staffs of your factory and recorded down their water consumption under different working temperatures. In particular. when they have already spent three hours under the working temperature. The collected data are shown in Table Q4 below. Based on the collected data, construct a scatter plot to represent the relationship between the temperature and the water consumption. Then further assess the relation between these two parameters by compute the linear regression equation using least squares method and find its correlation coefficient. (NOIE: refer Appendix I for the missing value of Q):
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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