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Explore Stack InternalI am experiencing some cognitive dissonance about what 'linear in the parameters' means. For example, here and here.
For example, my understanding is $y_i = \beta_0 + \beta_1\beta_2x_1 + \exp(\beta_3)(x_2)^2 + \epsilon$ is not linear in the parameters, because it has two parameter random variables variables multiplied together (namely ${\beta_1, \beta_2}$).
If $\beta_1$ (say) was replaced with $\gamma_1$, a constant, it would be.
Appreciate if someone could clarify this point.
I am experiencing some cognitive dissonance about what 'linear in the parameters' means. For example, here and here.
For example, my understanding is $y_i = \beta_0 + \beta_1\beta_2x_1 + \exp(\beta_3)(x_2)^2 + \epsilon$ is not linear in the parameters, because it has two parameter random variables multiplied together (namely ${\beta_1, \beta_2}$).
If $\beta_1$ (say) was replaced with $\gamma_1$, a constant, it would be.
Appreciate if someone could clarify this point.
I am experiencing some cognitive dissonance about what 'linear in the parameters' means. For example, here and here.
For example, my understanding is $y_i = \beta_0 + \beta_1\beta_2x_1 + \exp(\beta_3)(x_2)^2 + \epsilon$ is not linear in the parameters, because it has two parameter variables multiplied together (namely ${\beta_1, \beta_2}$).
If $\beta_1$ (say) was replaced with $\gamma_1$, a constant, it would be.
Appreciate if someone could clarify this point.
I am experiencing some cognitive dissonance about what 'linear in the parameters' means. For example, here and here.
For example, my understanding is $y_i = \beta_0 + \beta_1\beta_2x_1 + \exp(\beta_3)x_2 + \epsilon$$y_i = \beta_0 + \beta_1\beta_2x_1 + \exp(\beta_3)(x_2)^2 + \epsilon$ is not linear in the parameters, because it has two parameter random variables multiplied together (namely ${\beta_1, \beta_2}$).
If $\beta_1$ (say) was replaced with $\gamma_1$, a constant, it would be.
Appreciate if someone could clarify this point.
I am experiencing some cognitive dissonance about what 'linear in the parameters' means. For example, here and here.
For example, my understanding is $y_i = \beta_0 + \beta_1\beta_2x_1 + \exp(\beta_3)x_2 + \epsilon$ is not linear in the parameters, because it has two parameter random variables multiplied together (namely ${\beta_1, \beta_2}$).
If $\beta_1$ (say) was replaced with $\gamma_1$, a constant, it would be.
Appreciate if someone could clarify this point.
I am experiencing some cognitive dissonance about what 'linear in the parameters' means. For example, here and here.
For example, my understanding is $y_i = \beta_0 + \beta_1\beta_2x_1 + \exp(\beta_3)(x_2)^2 + \epsilon$ is not linear in the parameters, because it has two parameter random variables multiplied together (namely ${\beta_1, \beta_2}$).
If $\beta_1$ (say) was replaced with $\gamma_1$, a constant, it would be.
Appreciate if someone could clarify this point.
I am experiencing some cognitive dissonance about what 'linear in the parameters' means. For example, here and here.
For example, my understanding is $y_i = \beta_0 + \beta_1\beta_2x_1 + \exp(\beta_3)x_2 + \epsilon$ is not linear in the parameters, because it has two parameter random variables multiplied together (namely ${\beta_1, \beta_2}$).
If $\beta_1$ (say) was replaced with $\gamma_1$, a constant, it would be.
Appreciate if someone could clarify this point.
