What is the number of degrees of freedom of the residual sum of squares in a simple bivariate linear regression with 100 observations?
- 100
- 97
- 98
- 2
The Correct Option is C
Solution and Explanation
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Let \[ A = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 3 & 1 \\ -2 & -3 & -3 \end{bmatrix}, \quad b = \begin{bmatrix} b_1 \\ b_2 \\ b_3 \end{bmatrix}. \] For \( Ax = b \) to be solvable, which one of the following options is the correct condition on \( b_1, b_2, \) and \( b_3 \)?
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