Asked by Hannah Nobitz on Jun 09, 2024

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If all the values of an independent variable x are equal, then regressing a dependent variable y on x will result in a coefficient of determination of zero.

Coefficient of Determination

A statistical measure, often denoted as R-squared, that represents the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Independent Variable

A variable in an experiment or analysis that is manipulated or categorized to observe its effect on a dependent variable.

Dependent Variable

The variable in an experiment that is expected to change as a result of manipulations of the independent variable.

  • Identify the consequences of a random association between variables.
  • Understand the principle of sum of squares in regression analysis and its repercussions.
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WZ
WENXUAN ZHANGJun 12, 2024
Final Answer :
True
Explanation :
If all the values of x are equal, it means there is no variation or spread in x, and hence the regression line will be a horizontal line passing through the mean of y. This would result in a coefficient of determination of 0 as there is no relationship between x and y.