In the Multiple Regression Model Y_i = ?₀ + ?₁X_1i $\sum _ { i = 1 } ^ { n } \left( Y _ { i } - b _ { 0 } - b _ { 1 } X _ { 1 i } - \ldots - b _ { k } X _ { k i } \right) ^ { 2 }$

question 55

Multiple Choice

In the multiple regression model Y_i = ?₀ + ?₁X_1i+ ?₂ X_2i + ... + ?_kX_ki + u_i, i = 1,..., n, the OLS estimators are obtained by minimizing the sum of

• A)squared mistakes in \(\sum _ { i = 1 } ^ { n } \left( Y _ { i } - b _ { 0 } - b _ { 1 } X _ { 1 i } - \ldots - b _ { k } X _ { k i } \right) ^ { 2 }\)
• B)squared mistakes in \(\sum _ { i = 1 } ^ { n } \left( Y _ { i } - b _ { 0 } - b _ { 1 } X _ { 1 i } - \ldots - b _ { k } X _ { k i } - u _ { i } \right) ^ { 2 }\)
• C)absolute mistakes in \(\sum _ { i = 1 } ^ { n } \left| \left( Y _ { i } - b _ { 0 } - b _ { 1 } X _ { 1 i } - \ldots - b _ { k } X _ { k i } \right) \right|\)
• D)squared mistakes in \(\sum _ { i = 1 } ^ { n } \left( Y _ { i } - b _ { 0 } - b _ { 1 } X _ { i } \right) ^ { 2 }\)

---

Definitions:

Mortgage Payment

A regular payment made towards a mortgage loan, typically including both principal and interest components.

Apothem

A line segment that goes through the center of a polygon that is perpendicular to a side.

Octagon

A geometric figure with eight sides and eight angles.

Gazebo

A freestanding open structure, often found in gardens and parks, used for relaxation or entertainment.