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Determine the percentage of variation in the observed values of the response variable that is explained by the regression. Round to the nearest tenth of a percent if r 25.9 31.5 23.1 37.6 12.5 y 7 4 4 8 .... O A. 56.7% O B. 64.7% OC. 63.7%

Determine the percentage of variation in the observed values of the response variable that is explained by the regression. Round to the nearest tenth of a percent if r 25.9 31.5 23.1 37.6 12.5 y 7 4 4 8 .... O A. 56.7% O B. 64.7% OC. 63.7%

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
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**Educational Website Content:** **Understanding Regression: Determining the Percentage of Variation Explained** To understand the impact of independent variables on a dependent variable, we use regression analysis. This exercise demonstrates how to calculate the percentage of variation in observed values of a response variable that is explained by the regression model. **Data Table:** - **x values:** 25.9, 31.5, 23.1, 37.6, 12.5 - **y values:** 7, 4, 4, 5, 8 **Objective:** Determine the percentage of variation in the observed values of the response variable that is explained by the regression. Round to the nearest tenth of a percent if needed. **Multiple Choice Options:** - A. 56.7% - B. 64.7% - C. 63.7% - D. 40.6% Through this understanding, students can better interpret regression outputs and assess the strength of their models.
Transcribed Image Text:**Educational Website Content:** **Understanding Regression: Determining the Percentage of Variation Explained** To understand the impact of independent variables on a dependent variable, we use regression analysis. This exercise demonstrates how to calculate the percentage of variation in observed values of a response variable that is explained by the regression model. **Data Table:** - **x values:** 25.9, 31.5, 23.1, 37.6, 12.5 - **y values:** 7, 4, 4, 5, 8 **Objective:** Determine the percentage of variation in the observed values of the response variable that is explained by the regression. Round to the nearest tenth of a percent if needed. **Multiple Choice Options:** - A. 56.7% - B. 64.7% - C. 63.7% - D. 40.6% Through this understanding, students can better interpret regression outputs and assess the strength of their models.
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