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1. Why is it dangerous to extrapolate outside the experimental region? 2. Discuss how the least...

1. Why is it dangerous to extrapolate outside the experimental region? 2. Discuss how the least squares line is used to predict y on the basis of x.

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Answer #1

1.If you extrapolate without other supporting evidence you also violating correlation does not imply causation;

2.)Given a collection of pairs (x,y) of numbers (in which not all the x-values are the same), there is a line yˆ=βˆ1x+βˆ0 that best fits the data in the sense of minimizing the sum of the squared errors. It is called the least squares regression line.

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