Is the data point, P
-The regression equation for a set of paired data is $y = - 21.1 + 1.3 x$. The values of $x$ run from 100 to 400 . A new data point, $\mathrm { P } ( 175,206.4 )$, is added to the set.
A)Both
B)Influential point
C)Neither
D)Outlier

Question

Quizplus · Accepted Answer

Given the regression equation $y = -21.1 + 1.3x$, we can substitute $x = 175$ to see if $P(175, 206.4)$ closely follows this equation. Substituting $x = 175$ gives $y = -21.1 + 1.3(175) = -21.1 + 227.5 = 206.4$, which matches the $y$-value of point $P$. Since $P$ lies on the regression line, it is neither an outlier (which would be a point far from the regression line) nor an influential point (which would significantly change the regression equation if removed).

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

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