Question
Create a scatter plot with at least 8points where the correlation is between 0.5 and 0.7. Adding a data point in the upper-left corner of
Create a scatter plot with at least 8points where the correlation is between 0.5 and 0.7. Adding a data point in the upper-left corner of the scatterplot causes the correlation coefficient to become smaller. Moving the additional data point to the lower-left corner of the scatterplot causes the correlation coefficient to become larger.
Why does this occur? Select the correct explanation.
A.) Since the least-squares regression line in the original scatterplot has a negative slope, a new data point in the upper-left corner of the scatterplot represents an outlier that pulls the regression line down, reducing the correlation coefficient. As the point is moved to the lower-left corner, it becomes less of an outlier and the correlation coefficient becomes smaller.
B.) Since the least-squares regression line in the original scatterplot has a negative slope, a new data point in the upper-left corner of the scatterplot represents an outlier that pulls the regression line down, increasing the correlation coefficient. As the point is moved to the lower-left corner, it becomes more of an outlier and the correlation coefficient becomes larger.
C.) Since the least-squares regression line in the original scatterplot has a positive slope, a new data point in the upper-left corner of the scatterplot represents an outlier that pulls the regression line up, reducing the correlation coefficient. As the point is moved to the lower-left corner, it becomes less of an outlier and the correlation coefficient becomes larger.
D.) Since the least-squares regression line in the original scatterplot has a positive slope, a new data point in the upper-left corner of the scatterplot represents an outlier that pulls the regression line up, increasing the correlation coefficient. As the point is moved to the lower-left corner, it becomes less of an outlier and the correlation coefficient becomes smaller.
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