The following data pertains to the age of a car (in years) and mileage (in km/liter). If there is a significant relationship between two variables, predict the mileage of a car if its age is 10. *
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 pertains to
the age of a car (in years) and
mileage (in km/liter). If there
is a significant relationship
between two variables,
predict the mileage of a car if
its age is 10. *
Age of a car, in years
0.5
1
1.5
4.5
5
6
4
Mileage, in km/liter
16
15
10
12
10
12
11
10
11
O 20 years old
O 25 years old
O 30 years old
the correlation is not significant,
O thus we will not proceed to
regression analysis](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6e5b14c-eb46-4246-96ac-c82c9b6a1958%2F763c9b07-46c1-47e1-87ed-2cda7f9916d0%2F5ydd11_processed.jpeg&w=3840&q=75)
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