Which of the following best describes the coefficient of determination?Group of answer choicesThe coefficient of determination describes the percentage of variation in the y variable unexplained by the linear regression model on the x variable.• The coefficient of determination describes the direction of variation in the y variable explained by the linear regression model on the x variable.The coefficient of determination describes the percentage of variation in the y variable explained by the linear regression model on the x variable.The coefficient of determination describes the percentage of variation in the x variable explained by the linear regression model on the y variable.
Question
Which of the following best describes the coefficient of determination?Group of answer choicesThe coefficient of determination describes the percentage of variation in the y variable unexplained by the linear regression model on the x variable.• The coefficient of determination describes the direction of variation in the y variable explained by the linear regression model on the x variable.The coefficient of determination describes the percentage of variation in the y variable explained by the linear regression model on the x variable.The coefficient of determination describes the percentage of variation in the x variable explained by the linear regression model on the y variable.
Solution
The coefficient of determination describes the percentage of variation in the y variable explained by the linear regression model on the x variable.
Similar Questions
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.
Select all correct statements regarding the coefficient of determination from below.Question 5AnswerSelect one or more:a.When it is close to zero, it means the predictor X is not related to Y.b.It measures the proportion of variation in Y that can be explained by the fitted linear regression model.c.In simple linear regression, it measures the degree of linear relationship between X and Y.d.It is equal to , where is the sample correlation coefficient of X and Y.
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
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
When simple linear regression is used to analyze a data set, we get total variation = 7492.4 and unexplained variation (SSE) = 888.96. What is the coefficient of determination? (round to 2 decimal places)
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