Question: Consider a dataset in which the independent variable (X) and the dependent variable (Y) are both binary. Suppose the following statements are true about the

Consider a dataset in which the independent variable (X) and the dependent variable (Y) are both binary. Suppose the following statements are true about the data:

[] = 0.2 (the average value of X is 0.2)

[] = 0.7 (the average value of Y is 0.7)

[ | = 0] = 0.5 (the average value of Y, conditional on X=0, is 0.5)

[ | = 1] = 0.75 (the average value of Y, conditional on X=1, is 0.75)

Can you determine the slope of the best-fit line for the data? Explain.

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