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Asked by Tiffany Santo on Jul 14, 2024

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A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x) . A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x) . ​ The sum of squares due to regression (SSR) is A) 1434. B) 505.98. C) 50.598. D) 928.02. ​ The sum of squares due to regression (SSR) is

A) 1434.
B) 505.98.
C) 50.598.
D) 928.02.

Sum Of Squares

A statistical technique used in regression analysis to determine the dispersion of data points.

Regression

A statistical method used to examine the relationship between one or more independent variables and a dependent variable.

Dependent Variable

The variable in an experimental setting that is expected to change in response to manipulations in the independent variable.

  • Compute and elucidate the SSE, SST, and MSE within the context of regression analysis.
  • Comprehend and compute the coefficient of determination and its importance.
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Cheyanne MassieJul 15, 2024
Final Answer :
D
Explanation :
The sum of squares due to regression is a measure of how much of the variability in the dependent variable (y) is explained by the independent variable (x) and is calculated using the formula SSR = Σ(y-hat - ȳ)^2, where y-hat is the predicted value of y and ȳ is the mean of y. Based on the information provided, the SSR value is 928.02, which is option D.

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