Explain the phrase 'Correlation is not Causation.' Give possible ex- planations for both a negative correlation and then for a positive correlation between the variables A and X discussed here.
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.
![A group of 20 smokers were asked for their age and the number of
cigarettes they smoked in a certain time period. Let A, be the age
recorded and X; the number of cigarettes for each smoker, for i = 1
to 10. The following information is also available:
£4, =
- 669 , Σ X -74.9 , ΣΑ34,561.0.
Ex? = 468.45, EA;X; = 3492.7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff5c96ba-408f-408f-ac07-11373a05ebeb%2Fa721319d-240e-4f7f-b30f-5deb548ad53f%2Fbt9249_processed.jpeg&w=3840&q=75)
![1. Explain the phrase 'Correlation is not Causation.' Give possible ex-
planations for both a negative correlation and then for a positive
correlation between the variables A and X discussed here.
loto the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff5c96ba-408f-408f-ac07-11373a05ebeb%2Fa721319d-240e-4f7f-b30f-5deb548ad53f%2Fju5di9_processed.jpeg&w=3840&q=75)
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