Question 277438: If the correlation coefficient is 0.145, what is the sign of the slope of the regression line?
- As the correlation coefficient decreases from 0.84 to 0.79, do the points of the scatter plot move toward the regression line, or away from it?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If the correlation coefficient is 0.145, what is the sign of the slope of the regression line?
The line has positive linear correlation so the slope is positive.
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- As the correlation coefficient decreases from 0.84 to 0.79, do the points of the scatter plot move toward the regression line, or away from it?
r = [(x-(x-bar))(y-(y-bar))/sxsy]
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r approaches 1 as the points of the scatter plot get closer to
the regression line.
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r approaches 0 as the points of the scatter plot get further away
from the regression line.
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Your Problem:
Since r is approaching zero the points are moving away from the regression line.
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cheers,
Stan H.
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