In the context of regression analysis, what is the definition of an influential point?

a. observed data points that are close to the other observed data points in the horizontal direction
b. observed data points that are far from the least squares line
c. observed data points that are far from the other observed data points in the horizontal direction
d. observed data points that are close to the least squares line

c. Observed data points that are far from the other observed data points in the horizontal direction

True, by definition are observed data points that are far from the other observed data points in the horizontal direction.

Step-by-step explanation:

When we conduct a regression we consider influential points by definition "an outlier that greatly affects the slope of the regression line". Based on this case we can analyze one by one the possible options:

a. Observed data points that are close to the other observed data points in the horizontal direction

False. If are close to the other observed values then are not influential points

b. Observed data points that are far from the least squares line

False, that's the definition of outlier.

c. Observed data points that are far from the other observed data points in the horizontal direction

True, by definition are observed data points that are far from the other observed data points in the horizontal direction.

d. Observed data points that are close to the least squares line

False. If are close to the fit regression line adjusted then not affect the general equation for the model and can't be considered as influential points

1.true 2.false? ? i think. .

step-by-step explanation:

i think the answer is b.

step-by-step explanation:

not 100% sure though.