Consider a situation where Y is related to X in the following manner: Y_i = β₀ × $X _ { i } ^ { \beta _ { 1 } }$ × e^u_i. Draw the deterministic part of the above function. Next add, in the same graph, a hypothetical Y, X scatterplot of the actual observations. Assume that you have misspecified the functional form of the regression function and estimated the relationship between Y and X using a linear regression function. Add this linear regression function to your graph. Separately, show what the plot of the residuals against the X variable in your regression would look like.

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The Answer of Consider a situation where Y is related to X in the following manner: Y_i = β₀ × $X _ { i } ^ { \beta _ { 1 } }$ × e^u_i. Draw the deterministic part of the above function. Next add, in the same graph, a hypothetical Y, X scatterplot of the actual observations. Assume that you have misspecified the functional form of the regression function and estimated the relationship between Y and X using a linear regression function. Add this linear regression function to your graph. Separately, show what the plot of the residuals against the X variable in your regression would look like.

Consider a Situation Where Y Is Related to X in the Following