Given "\u0177 = 5 \u2212 8x," the slope is given by "\\frac{d\u0177}{dx}=\\frac{d(5-8x)}{dx}=\\frac{d(5)}{dx}\u22128\u22c5\\frac{dx}{dx}=0\u22128=\u22128". When x increases by 1 unit, ŷ decreases by 8 units. Equivalently, when x decreases by 1 unit, ŷ decreases by 8 units.
Given "\u0177 = 5 + 6x", marginal change in ŷ for each unit change in x is given by "\\frac{d\u0177}{dx}=\\frac{d(6x+6)}{dx}=6\\frac{dx}{dx}+\\frac{d(5)}{dx}=6+0=6". Thus, a unit change in x leads to 6 units change in ŷ. That is a unit increase in x leads to 6 units increase in ŷ.
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