Identify the Equation Without Applying a Rotation of Axes $$4 x ^ { 2 } + 5 x y + 2 y ^ { 2 } + 2 x + 3 y - 5 = 0$$

question 103

Multiple Choice

Identify the equation without applying a rotation of axes.
- $$4 x ^ { 2 } + 5 x y + 2 y ^ { 2 } + 2 x + 3 y - 5 = 0$$

• A) hyperbola
• B) ellipse
• C) parabola
• D) not a conic

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Definitions:

Collinearity

Collinearity is a condition in statistical modeling where two or more predictor variables are closely linearly related, potentially affecting the model's estimates and interpretations.

F-test

A statistical test used to compare the variances of two populations to assess the equality of their means.

Multicollinearity

A statistical phenomenon in which multiple independent variables in a regression model are highly correlated, potentially undermining the statistical validity of the model.

Independent Variables

Variables in an experiment or statistical model that are manipulated or categorized to investigate their effect on dependent variables.