3.0 1.5 0.0 -1.5 20 24 28 32 Predicted (mpg) Residuals (mpg)
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.
Gas mileage As the example in the chapter indicates,
one of the important factors determining a car’s Fuel
Efficiency is its Weight. Let’s examine this relationship
again, for 11 cars.
a) Describe the association between these variables
shown in the scatterplot.b) Here is the
What does the slope of the line say about this
relationship?c) Do you think this linear model is appropriate? Use the
residuals plot to explain your decision.
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