How do you interpret a coefficient of determination, r², equal to 0.14? Choose the correct answer below. A The interpretation is that 86% of the variation in the independent variable can be explained by the variation in the dependent variable. OB. The interpretation is that 0.14% of the variation in the independent variable can be explained by the variation in the dependent variable. OC. The interpretation is that 0.86% of the variation in the dependent variable can be explained by the variation in the independent variable. OD. The interpretation is that 14% of the variation in the dependent variable can be explained by the variation in the independent variable.
Question
How do you interpret a coefficient of determination, r², equal to 0.14? Choose the correct answer below. A The interpretation is that 86% of the variation in the independent variable can be explained by the variation in the dependent variable. OB. The interpretation is that 0.14% of the variation in the independent variable can be explained by the variation in the dependent variable. OC. The interpretation is that 0.86% of the variation in the dependent variable can be explained by the variation in the independent variable. OD. The interpretation is that 14% of the variation in the dependent variable can be explained by the variation in the independent variable.
Solution
The correct answer is D. The interpretation is that 14% of the variation in the dependent variable can be explained by the variation in the independent variable.
Similar Questions
When conducting a regression analysis, what does the coefficient of determination (R-squared) represent? A. The strength of the relationship between variables B. The predicted values of the dependent variable C. The slope of the regression line D. The proportion of variance in the dependent variable explained by the independent variable
Which of the following is the correct interpretation for 0.60 coefficient of determination? a. 60% of the variation in the X values is explained by the variation in the Y values. b. 40% of the variation in the Y values is explained by the variation in the X values. c. The relationship between Y and X is very weak d. 60% of the variation in the Y values is explained by the variation in the X values.
Which statement about the coefficient of determination (R^2) is true?It represents the slope of the regression line.It indicates the percentage of the variance in the dependent variable that is predictable from the independent variable.It can take on any value between -1 and 1.It is the square root of the correlation coefficient.
The coefficient of determination, r2, represents:Group of answer choicesDirection and strength of a correlationProbability that the data resulted by random chanceThe amount of skew in a distributionThe amount that data deviate from the mean valueThe proportion of total variation explained by a linear correlation
r2=0.25(Type an integer or a decimal.Do not round.) What is the meaning of r2? A.(1-r2)100%of the variation in the independent variable cannot be explained by the variation in the dependent variable. OB.1-2 of the variation in the dependent variable cannot be explained by the variation in the independent variable. C.2 of the variation in the independent variable can be explained by the variation in the dependent variable. OD.2.100%of the variation in the dependent variable can be explained by the variation in the independent variable.
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