Q. 4.39 - Elementary Statistics

Question

Fill in the blanks.

a. In the context of regression, an_______ is a data point that lies far from the regression line, relative to the other data points.

b. In regression analysis, an_______ is a data point where removal causes the regression equation to change considerably:

Step-by-Step Solution

Answer

(a) Outlier

(b) Influential observation.

Part (a) Step 1: Given information

In the context of regression, an_______ is a data point that lies far from the regression line, relative to the other data points.

Part (a) Step 2: Explanation

An outlier is an observation with a significant residual in comparison to the other observations in the data collection. Outliers and influential points must be identified as part of the regression analysis.

In the context of the regression, an outlier is a statistic that is far from the trend line when related to other observations.

Part (b) Step 1: Given information

In regression analysis, an________ is a data point where removal causes the regression equation to change considerably:

Part (b) Step 2: Explanation

An influential observation is one that would significantly alter the conclusion of a statistical computation if it were removed from the dataset. In regression analysis, an influential observation is one whose removal has a significant impact on parameter estimations.

The grid cell is an influential observation, and its removal can cause the regression analysis to vary significantly in the linear relationship.