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Figure from the original study to reproduce (in part)
Walter-Terrill et al. (2025)
\[Y_i = \beta_0 + \beta_1X_{1i} + \beta_2X_{2i} + \beta_3(X_{1i} \times X_{2i}) + \epsilon_i \qquad(1)\]
where
\(Y_i\) (Outcome) is the hireability rating for participant \(i\),
\(\beta_0\) (Intercept) is the mean outcome when all predictors = 0,
\(\beta_1\) is the main effect of audio quality,
\(X_{1i}\) is audio quality for participant \(i\), dummy coded as 0 = Clear and 1 = Distorted,
\(\beta_2\) is the main effect of voice type,
\(X_{2i}\) is voice type for participant \(i\), dummy coded as 0 = Computer and 1 = Human,
\(\beta_3\) (Interaction) is the interaction effect between audio quality and voice type, and
\(\epsilon_i\) (Error) is the residual variation not explained by the other predictors.
| Human | Computer | |
|---|---|---|
| Clear | ||
| Distorted |
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[1] 2
\[Y_i = \beta_0 + \beta_1X_{1i} + \beta_2X_{2i} + \beta_3(X_{1i} \times X_{2i}) + \epsilon_i \qquad(2)\]
where
\(Y_i\) (Outcome) is the hireability rating for participant \(i\),
\(\beta_0\) (Intercept) is the mean outcome when all predictors = 0,
\(\beta_1\) is the main effect of audio quality,
\(X_{1i}\) is audio quality for participant \(i\), dummy coded as 0 = Clear and 1 = Distorted,
\(\beta_2\) is the main effect of voice type,
\(X_{2i}\) is voice type for participant \(i\), dummy coded as 0 = Computer and 1 = Human,
\(\beta_3\) (Interaction) is the interaction effect between audio quality and voice type, and
\(\epsilon_i\) (Error) is the residual variation not explained by the other predictors.