15.41.* Explain what is meant by the absence of statistical interaction in modeling the relationship between a

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15.41.* Explain what is meant by the absence of statistical interaction in modeling the relationship between a response variable y and two explanatory variables x1 and x2 in each of the following cases. Use graphs or tables to illustrate.

(a) y, x1, and x2 are quantitative.

(b) y and x1 are quantitative; x2 is categorical.

(c) y is quantitative; x1 and x2 are categorical.

(d) y, x1, and x2 are binary.

(e) y is binary; x1 and x2 are quantitative.

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