12. The y-intercept $b_0$ of a least-squares regression line has a useful interpretation only if the x-values are either all positive or all negative.
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This means that the y-intercept is the value of y when there is no input or when x is 0. Show more…
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Rachel G.
The Y-intercept of the simple regression model is always a positive number. is always positive when the correlation between the dependent and independent variable is positive. almost always has a useful interpretation. rarely has a useful interpretation. All of the options are correct.
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The figure at the right shows a line that has a positive slope (because it rises from left to right) and a positive $y$ -value for the $y$ -intercept (because it intersects the $y$ -axis above the origin). For each line, decide whether (a) the slope is positive, negative, or zero and (b) the $y$ -value of the $y$ -intercept is positive, negative, or zero.
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