Assumption 1 of the CLRM (Classical Linear Regression Model) is necessary but not sufficient to prove that $\hat { \beta } _ { 1 }$ is linear.

Question

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Assumption 1 of the CLRM states that the relationship between the independent and dependent variables is linear in parameters, which is necessary for $\hat{\beta}_1$ to be linear, but other assumptions are also needed to ensure linearity in estimation.

Assumption 1 of the CLRM (Classical Linear Regression Model) Is β^1\hat { \beta } _ { 1 }β^​1​

Assumption 1 of the CLRM (Classical Linear Regression Model) Is $\hat { \beta } _ { 1 }$