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Imagine That You Had Discovered a Relationship That Would Generate xi2x _ { i } ^ { 2 }

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Essay

Imagine that you had discovered a relationship that would generate a scatterplot very similar to the relationship Yi = xi2x _ { i } ^ { 2 } , and that you would try to fit a linear regression through your data points. What do you expect the slope coefficient to be? What do you think the value of your regression R2 is in this situation? What are the implications from your answers in terms of fitting a linear regression through a non-linear relationship?


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