The linear regression model for the height of a particular species of tree is given by h = 3.8d + 18.7 where h is the height of the tree in feet and d is the diameter of the tree in inches. According to the model, which statement is true about the growth of this species of tree
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.
The linear regression model for the height of a particular species of tree is given by
h = 3.8d + 18.7
where h is the height of the tree in feet
and d is the diameter of the tree in inches.
According to the model, which statement is true about the growth of this species of tree.
- A.
The height is increasing at a rate of about 18.7 feet per 1 inch increase in diameter.
- B.
The height is increasing at a rate of about 3.8 feet per 1 inch increase in diameter.
- C.
The diameter is increasing at a rate of about 3.8 inches per 1 foot increase in height.
- D.
The diameter is increasing at a rate of about 18.7 inches per 1 foot increase in height.
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