a.
To predict: The changes that will happen to the
The correlation coefficient will increase.
The slope will remain about the same.
Given:
Calculation:
After removing the unusual point that is far from the regression line, the remaining points become closer to the regression line.
So, the correlation coefficient will increase.
After removing the unusual point, the regression line remains the same.
So, slope will remain about the same.
b.
To predict: The changes that will happen to the correlation coefficient and the slope of the regression line after removing the unusual point.
The correlation coefficient will increase.
The slope will increase.
Given:
Calculation:
After removing the unusual point that is far from the regression line, the remaining points become closer to the regression line.
So, the correlation coefficient will increase.
After removing the unusual point, the regression line shifts slightly upward.
So, slope will increase.
c.
To predict: The changes that will happen to the correlation coefficient and the slope of the regression line after removing the unusual point.
The correlation coefficient will decrease.
The slope will decrease.
Given:
Calculation:
After removing the unusual point that is far from the regression line, the remaining points spread widely around the regression line.
So, the correlation coefficient will decrease.
After removing the unusual point, the regression line shifts slightly downward.
So, slope will decrease.
Chapter 10 Solutions
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