Find V(Y),
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 certain automobile manufacturer equips a particular model with either a turbo or a standard engine. Let X1 and X2 be fuel efficiencies for independently and randomly selected turbo and
standard cars, respectively. Assume the two random variables are normally distributed with the following parameters:
H = 22 and o,2 =1.44 (mean and variance of X1]
Hi = 26 and
= 2.25 [mean and variance of X2]
Define a random variable Y as the difference between the first engine minus three times the second engine, X, - 3X,
Find V(Y), the variance of the linear combination Y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70a05657-0307-4b7c-962c-ab3824846297%2F9d3d69d2-ad6b-4291-bbc4-6b0a959ab408%2F4icwpl2_processed.png&w=3840&q=75)
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