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Select the correct statement below. In Normal regression, the natural link Select one:  a. guarantees a good fit of model to data.  b. is the only way to model data.  c. is just one among several possibilities to model data.  d. None of the given statements.  e. does not guarantee good fit of model to data.

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Select the correct statement below. In Normal regression, the natural link Select one:  a. guarantees a good fit of model to data.  b. is the only way to model data.  c. is just one among several possibilities to model data.  d. None of the given statements.  e. does not guarantee good fit of model to data.

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JenMaster · Tutor for 5 years

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### Correct Statement Selection<br /><br />The correct statement regarding the natural link in normal regression is:<br /><br />* c. is just one among several possibilities to model data.<br /><br />#### Explanation<br /><br />In the context of regression, particularly generalized linear models (GLMs), the natural link function is the function that relates the mean of the response variable to the linear predictor. It is called the "natural" link because it is derived from the distribution of the response variable and has certain mathematical properties that simplify the model estimation.<br /><br />However, the natural link is not the only option when modeling data. Other link functions can be used depending on the specific circumstances and the goals of the analysis. The choice of link function can affect the interpretation and performance of the model.<br /><br />Here's a brief overview of the statements:<br /><br />* a. guarantees a good fit of model to data.<br /> - This is incorrect because the natural link does not guarantee a good fit. The fit of the model depends on many factors, including the appropriateness of the model for the data.<br /><br />* b. is the only way to model data.<br /> - This is incorrect because there are many ways to model data, and the natural link is just one option among many.<br /><br />* c. is just one among several possibilities to model data.<br /> - This is correct as it acknowledges the existence of multiple methods for modeling data.<br /><br />* d. None of the given statements.<br /> - This is incorrect because statement c is a correct statement.<br /><br />* e. does not guarantee good fit of model to data.<br /> - While this statement is technically true, it is not the best answer because it does not fully capture the relationship between the natural link and the modeling of data. Statement c is more comprehensive.<br /><br />Therefore, the most accurate and complete answer is **c. is just one among several possibilities to model data**.
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