Asked by Mykal Josie on May 11, 2024
Verified
The assumption of homoscedasticity means that ________.
A) variation about the regression line is constant for all values of the independent variable
B) the residuals should appear to be randomly scattered about zero,with no apparent pattern
C) the errors for each individual value of X are normally distributed,with a mean of 0
D) the residuals should be scattered in a parabolic shape about zero
Homoscedasticity
A condition in regression analysis where the variance of the residuals, or errors, is constant across all levels of the independent variable.
Regression Line
A line of best fit through a dataset in linear regression analysis, showing the relationship between the independent and dependent variables.
Independent Variable
An independent variable is a variable that is manipulated to determine its effects on another variable.
- Acquire an understanding of the underlying principles of regression analysis and the consequences of deviation.
Verified Answer
AG
Aracely GarciaMay 15, 2024
Final Answer :
A
Explanation :
The assumption of homoscedasticity means that the variation about the regression line is constant for all values of the independent variable. In other words, the spread of the residuals should be roughly equal across all levels of the predictor variable.
Learning Objectives
- Acquire an understanding of the underlying principles of regression analysis and the consequences of deviation.