et X be the independent variable, Y the dependent variable and a be the coefficient of X in a simple linear regression. Which of the following statements is false a. If X=demand for a good, Y=its price, then a will be negative b. If X=strength of a hurricane, Y=damage from the hurricane in dollars, then a will be positive c. If X=number of hours studied, Y=score on final exam out of 100 points, then a will be positive d. If X= weight of an automobile, Y=its gas mileage, then a will be negative
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.
et X be the independent variable, Y the dependent variable and a be the coefficient of X in a simple linear regression. Which of the following statements is false
| a. |
If X=demand for a good, Y=its price, then a will be negative
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| b. |
If X=strength of a hurricane, Y=damage from the hurricane in dollars, then a will be positive
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| c. |
If X=number of hours studied, Y=score on final exam out of 100 points, then a will be positive
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| d. |
If X= weight of an automobile, Y=its gas mileage, then a will be negative |
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