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Applications that do violate the OLS assumptions for inference All of the exampl

ID: 3297476 • Letter: A

Question

Applications that do violate the OLS assumptions for inference All of the examples in this section have at least one violation of the OLS assumptions for inference. Begin by identifying the response and explanatory variables. Write the assumptions in the context of each study as if there were no violations. Then identify which assumptions are likely to be invalid. Explain your answer in the context of the study.

1. Fragile Family Researchers using the Fragile Family data are attempting to see if socioeconomic status and parental stability are predictive of low birthweight. Note that a newborn is classified as having a low birthweight with potentially hazardous consequences if their birthweight is less than 2500 gm, hence our response is binary 1 for low birthweight 0 when the birthweight is not low.

Explanation / Answer

Here the explanatory variables are Socioeconomic status and parental stability.

The response variable is low birthweight.

The response variable is either 1 or 0, so it is a categorical variable.It's a binary variable, so the basic assumption of logistic regression is satisfied.

But the explanatory variables are not independent in this case, which is one of main assumptions,as Parental stability depends on socioeconomic status.

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