Is the data point, P, an outlier, an influential point, both, or neither?
-The regression equation for a set of paired data is $\hat { \mathrm { y } } = 53.5 + 0.6 \mathrm { x }$ . The values of x run from 100 to 400. A new data point, P(176, 159.1), is added to the set.
A) Neither
B) Both
C) Outlier
D) Influential point

Question

Quizplus · Accepted Answer

The point P(176, 159.1) lies close to the regression line $\hat { \mathrm { y } } = 53.5 + 0.6 \mathrm { x }$, so it is not an outlier. It is also within the range of x values (100 to 400), so it is not an influential point.

Is the Data Point, P, an Outlier, an Influential Point y^=53.5+0.6x\hat { \mathrm { y } } = 53.5 + 0.6 \mathrm { x }y^​=53.5+0.6x

Is the Data Point, P, an Outlier, an Influential Point $\hat { \mathrm { y } } = 53.5 + 0.6 \mathrm { x }$