An engineer wanted to determine how the weight of a car affects gas mileage. The following data represent the weights of various cars and their gas mileages. Complete the question. Car Weight (pounds) Miles per Gallon A 2690 26 B 3100 21 C 3180 23 D 3985 18 E 3175 22 (a) Determine which variable is the explanatory variable and which is the response variable. The explanatory variable is the weight and the response variable is the miles per gallon. The explanatory variable is the miles per gallon and the response variable is the weight. (b) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. r=nothing (Round to three decimal places as needed.)
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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Car
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Weight (pounds)
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Miles per Gallon
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A
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2690
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26
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B
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3100
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21
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C
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3180
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23
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D
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3985
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18
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E
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3175
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22
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