The following information regarding a dependent variable (Y) and an independent variable (X) is provided. YX4231446385 SSE = 6SST = 16 The coefficient of determination isGroup of answer choices.375.7096.625-.7096
Question
The following information regarding a dependent variable (Y) and an independent variable (X) is provided. YX4231446385 SSE = 6SST = 16 The coefficient of determination isGroup of answer choices.375.7096.625-.7096
Solution
The coefficient of determination, also known as R-squared, is a statistical measure that shows the proportion of the variance for a dependent variable that's explained by an independent variable. It is calculated as 1 - (SSE/SST).
Given that SSE (Sum of Squared Errors) = 6 and SST (Total Sum of Squares) = 16, we can substitute these values into the formula:
R-squared = 1 - (SSE/SST) = 1 - (6/16) = 1 - 0.375 = 0.625
So, the coefficient of determination is 0.625.
Similar Questions
The following information regarding a dependent variable (Y) and an independent variable (X) is provided. YX4231446385 SSE = 6SST = 16 The coefficient of correlation isGroup of answer choices.625-.7906.375.7906
The following information regarding a dependent variable (Y) and an independent variable (X) is provided. YX4231446385 SSE = 6SST = 16 The least squares estimate of the b1 (slope) isGroup of answer choices1432
The equation that describes how the dependent variable (y) is related to the independent variable (x) is calledGroup of answer choicesNone of these answers is correct.the regression modelcorrelation analysisthe correlation model
A financial analyst wants to determine the relationship between a company's earnings per share (EPS, Y, in dollars) and its revenue (X, in million dollars). Assuming a linear relationship between Y and X, the analyst used the least-squares method and found that the Y-intercept = 1.75 and the slope = 0.42. Also, the sum of squares total (SST) and the error sum of squares (SSE) were equal to 82000.12 and 15200.43, respectively.Based on this information, what is the coefficient of determination? Round your final answer to four decimal places. Note: don't put your answer in percentage form.
The equation describes how the dependent variable (y) is related to the independent variable (x) ? Group of answer choicesRegression ModelCorrelation ModelCorrelation AnalysisEquational Analysis
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.