An automobile manufacturer would like to know the gas mileage of a car (y in miles per gallon) based on four predictor variables: x1 = horsepower (ft-lb), x2 = torque (ft-lb), x3 = displacement (cubic inches), and x4 = weight (lbs). The prediction equation is given as: y_hat = 35.4 + 0.145X1+ 0.54X2 - 0.66X3 - 0.0013X4 What is the predicted value of gas mileage for a car with 16 ft-lbs of horsepower, 25 ft-lbs of torque, 35 cubic inches of displacement, and weighs 3900 pounds? O 23.05 O 18.19 O 27.36 O 35.42
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.
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