SOLUTION: What information does the coefficient of determination for a statistical model of the relationship between two variables give you? Select the best answer from the list below:
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Question 1122174: What information does the coefficient of determination for a statistical model of the relationship between two variables give you? Select the best answer from the list below:
Select one:
a. The proportion of the variation in the response variable (y variable) explained by the variation in the explanatory variable (x variable)
b. The expected change in the response variable (y variable) resulting from a one-unit increase in the explanatory variable (x variable)
c. The strength and direction of the linear relationship between the variables
d. The average value of the response variable (y variable) predicted by the model when the value of the explanatory variable (x variable) is 0
Thanks very much Answer by Theo(13342) (Show Source):
A statistical method that explains how much of the variability of a factor can be caused or explained by its relationship to another factor.
Coefficient of determination is used in trend analysis. It is computed as a value between 0 (0 percent) and 1 (100 percent). The higher the value, the better the fit. Coefficient of determination is symbolized by r2 because it is square of the coefficient of correlation symbolized by r. The coefficient of determination is an important tool in determining the degree of linear-correlation of variables ('goodness of fit') in regression analysis.
Read more: http://www.businessdictionary.com/definition/coefficient-of-determination-r2.html
