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 \(\sum _ { i = 1 } ^ { n } \left( Y _ { i } - b _ { 0 } - b _ { 1 } X _ { i } \right) ^ { 2 }\)

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Definitions:

Compete

To take part in a contest or rivalry, striving to win or achieve something by surpassing others.

Conscious

Pertaining to the awareness of one's own existence, sensations, thoughts, surroundings, and the ability to perceive external stimuli.

Objective Goals

Specific, measurable, achievable, relevant, and time-bound goals that an individual or organization aims to accomplish.

Fictional Finalism

A concept from Adlerian psychology, suggesting that individuals are motivated more by their expectations of the future than by past experiences.