Correlations What factor most explains differences inFuel Efficiency among cars? Below is a correlation matrixexploring that relationship for the car’s Weight, Horsepower,engine size (Displacement), and number of Cylinders. a) Which factor seems most strongly associated withFuel Efficiency?b) What does the negative correlation indicate?c) Explain the meaning of R2 for that relationship. MPG Weight Horse-power Displace-ment Cylinders MPG 1.000Weight -0.903 1.000Horsepower -0.871 0.917 1.000Displacement -0.786 0.951 0.872 1.000Cylinders -0.806 0.917 0.864 0.940 1.000
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.
Fuel Efficiency among cars? Below is a correlation matrix
exploring that relationship for the car’s Weight, Horsepower,
engine size (Displacement), and number of Cylinders.
Fuel Efficiency?
b) What does the
c) Explain the meaning of R2
power
ment Cylinders
Weight -0.903 1.000
Horsepower -0.871 0.917 1.000
Displacement -0.786 0.951 0.872 1.000
Cylinders -0.806 0.917 0.864 0.940 1.000
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