A Multiple Linear Regression Analysis Involving 45 Observations Resulted in the Following

question 122

Essay

A multiple linear regression analysis involving 45 observations resulted in the following least squares prediction equation: $$\hat { y } = .408 + 1.3387 x _ { 1 } + 2.1 x _ { 2 }$$ .
The SSE for the above model is 49.
Addition of two other independent variables to the model,resulted in the following multiple linear regression equation: $$\hat { y } = 1.2 + 3 x _ { 1 } + 12 x _ { 2 } + 4 x _ { 3 } + 8 x _ { 4 }$$ .
The latter model's SSE is 40.
-Determine the degrees of freedom regression (explained variation),degrees of freedom error (unexplained variation),and total degrees of freedom for the model with two independent variables.

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Definitions:

Interpretation

Interpretation involves making sense of or assigning meaning to phenomena, actions, or symbols within a particular context, often used in analysis and therapy.

Person-Centered Therapy

A therapeutic approach developed by Carl Rogers that emphasizes the importance of the individual's subjective experience and places faith in clients' potential for self-direction.

Sympathy

A feeling of pity and sorrow for someone else's misfortune, often with a desire to offer comfort or assistance.

Acceptance

The act of receiving or consenting to a proposal, situation, or individual, often implying a positive attitude or reception.