$$\text { Consider the polar equation } r = - \frac { 13 } { 4 \sin \theta - 1 } \text {. }$$

question 109

Essay

$$\text { Consider the polar equation } r = - \frac { 13 } { 4 \sin \theta - 1 } \text {. }$$ (a) Find the eccentricity and an equation of the directrix of the conic.
(b) Identify the conic.
(c) Sketch the curve.

---

Definitions:

Least Squares Line

A line of best fit determined by minimizing the sum of squares of the differences between observed and predicted values in regression analysis.

Weight

A measure of the heaviness or mass of an object or individual.

Coefficient Of Determination

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s), indicating the strength of the relationship.

Regression Line

A statistical line of best fit that describes the relationship between one dependent variable and one or more independent variables.