Listed below are the weights (in pounds) and the highway fuel consumption (mil/gal) of randomly selected cars. Data and Scatterplot are below Weight 3175 3450 3225 3985 2440 2500 2290 Fuel 37 27 Consumption 29 27 24 37 34 Compute the correlation coefficient • Do you think there's a linear relationship between Weight and Fuel consumption? If so, what type of relationship is it? Make sure you use the critical value in your explanation. • Find the equation of the best-fit line. • Ifa car has a highway fuel consumption of 30 miles per gallon, how much do you expect the car to weight? SHOW your work.
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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