## If the coefficient of determination is a positive value, then the regression equation must have a positive slope must have a negative slope

Question

If the coefficient of determination is a positive value, then the regression equation must have a positive slope must have a negative slope could have either a positive or a negative slope must have a positive y intercept

True or False?

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Math
4 weeks
2021-09-19T07:38:32+00:00
2021-09-19T07:38:32+00:00 1 Answer
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## Answers ( )

Answer: The regression equation could have a positive or a negative slopeExplanation:

The coefficient of determination is marked as r^2. This is always positive because squaring a negative leads to a positive. Knowing something like r^2 = 0.7 does not tell us whether r itself is positive or negative, so we don’t know if the regression line slope is positive or negative. We would need more info.