OBJECTIVE FORESTRY

FORESTRY

AGRICULTURAL STATISTICS AND ECONOMICS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What does the square of the correlation (r2) measure?
A
How close the points cluster around a linear pattern.
B
The relationship between the explanatory and response variable.
C
The percent of variation of the y variable as explained by the LSRL.
D
The residual affect from the LSRL as compared to it’s correlation.
Explanation: 

Detailed explanation-1: -In linear regression, r-squared (also called the coefficient of determination) is the proportion of variation in the response variable that is explained by the explanatory variable in the model.

Detailed explanation-2: -Correlation, r, is a measure of linear association between two variables. Coefficient of determination, r2, is a measure of how much of the variability in one variable can be “explained by” variation in the other. For example, if r=0.8 is the correlation between two variables, then r2=0.64.

Detailed explanation-3: -R-Squared (R² or the coefficient of determination) is a statistical measure in a regression model that determines the proportion of variance in the dependent variable that can be explained by the independent variable. In other words, r-squared shows how well the data fit the regression model (the goodness of fit).

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