In a Multiple Regression Model with 4 Independent Variables and 25

question 12

Essay

In a multiple regression model with 4 independent variables and 25 observations,an observation's actual y value is 128.2,and the predicted value of the dependent variable based on the multiple regression equation is equal to 114.7.The computer output also shows that MSE is equal to 144 and the leverage value is 0.19.Calculate the Cook's D statistic for this observation.Based on the Cook's statistic value is this observation influential? Why?

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Definitions:

Longitudinal Study

A research method that studies the same subjects over a period of time, allowing for the observation of changes or developments.

Neuroticism

A behavioral quality defined by irregular moods, worry, and lack of emotional steadiness.

Conscientiousness

A personality trait characterized by organization, thoroughness, reliability, and a strong sense of duty.

Variance

A statistical measure that represents the spread or dispersion of a set of data points, indicating how much the data vary from the average value.