Suppose That the Following Model Was Fit to a Set $$E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }$$

question 14

Multiple Choice

Suppose that the following model was fit to a set of data.
$$E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }$$
The corresponding plot if residuals against predicted values $\hat { y }$ is shown. Interpret the plot.

• A) The residuals appear to be randomly scattered so that no model modifications are necessary.
• B) It appears that the variance ofε is not constant.
• C) It appears that the data contain an outlier.
• D) It appears that a quadratic model would be a better fit.

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Definitions:

Group Polarisation

Tendency for group discussion to produce more extreme group decisions than the mean of members’ pre-discussion opinions, in the direction favoured by the mean.

Prototypical Leaders

Individuals who exemplify the most characteristic qualities of leadership, often influencing group norms and expectations.

Prototype Conformity

The tendency to conform to a general, idealized example or standard within a particular category or cultural expectation.

Group Norms

The unwritten rules and expectations that guide behavior within a group, influencing how members act, communicate, and interact.