Is the data point, P
-The regression equation for a set of paired data is $\hat { y } = 2 + 5 x$. The correlation coefficient for the data is $0.93$. A hew data point, $\mathrm { P } ( 15,97 )$, is added to the set.
A)Neither
B)Outlier
C)Both
D)Influential point

Question

Quizplus · Accepted Answer

The point P(15,97) 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 $\hat{y} = 2 + 5x$. Substituting $x = 15$ into the equation gives $\hat{y} = 77$, but the actual $y$-value is 97, which is significantly different. It is also an influential point because it has a large $x$-value (15) compared to the other data points, which can significantly affect the slope and intercept of the regression line if included in the analysis.

Is the Data Point, P -The Regression Equation for a Set

Is the Data Point, P
-The Regression Equation for a Set