An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon. Car A B DEO Welght (pounds), x Miles per Gallon, y 2545 3070 3375 3805 4250 32.6 24.5 24.6 24 18.2 O E. It is not appropriate to interpret the y-intercept because it does not make sense to talk about a car that weighs 0 pounds. (c) Predict the miles per gallon of car D and compute the residual. Is the miles per gallon of this car above average or below average for cars of this weight? The predicted value is miles per gallon. (Round to two decimal places as needed.) The residual is miles per gallon. (Round to two decimal places as needed.) Is the value above or below average? O Itis below average. It is above average. (d) Draw the least-squares regression line ch the scatter diagram of the data and label the residual. Which of the following represents the data with the residual shown in red? OA. OB. OD. 4400 4400 174 2400 2400- 17 Weight 174 2400 Weight 4400 2400 34 4400 17 34 MPG MPG
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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