FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Which of the following are true statements?I. Correlation requires that there are clearly-identified explanatory and response variables.II. Scatterplots require that both variables be quantitative.III. Every least-squares regression line passes through (x ____, y ____ ).
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I and II only
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I and III only
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II and III only
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I, II, and III
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None of the above
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Explanation:
Detailed explanation-1: -Definitions: ❖ The variable that researchers are trying to explain or predict is called the response variable. It is also sometimes called the dependent variable because it depends on another variable. ❖ The variable that is used to explain or predict the response variable is called the explanatory variable.
Detailed explanation-2: -It is interesting that the least squares regression line always passes through the point (‘x, ‘y ). The correlation (r) describes the strength of a straight line relationship. The square of the correlation, r2, is the fraction of the variation in the values of y that is explained by the regression of y on x.
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