The regression equation for a set of paired data is $\hat { y } = 9 + 2 x$ . The correlation coefficient for the data is 0.87. A new data point, P(12, 53), is added to the set.
A) Outlier
B) Influential point
C) Both
D) Neither

Question

Quizplus · Accepted Answer

The point P(12, 53) is both an outlier and an influential point. It is an outlier because it does not fit the pattern of the data described by the regression equation. It is an influential point because it is far from the mean of the x-values, which can significantly affect the slope and intercept of the regression line.

The Regression Equation for a Set of Paired Data Is y^=9+2x\hat { y } = 9 + 2 xy^​=9+2x

The Regression Equation for a Set of Paired Data Is $\hat { y } = 9 + 2 x$