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A Psychologist Does an Experiment to Determine Whether an Outgoing R2\mathrm { R } ^ { 2 }

Question 71

Multiple Choice

A psychologist does an experiment to determine whether an outgoing person can be identified by his or her handwriting.She claims that the R2\mathrm { R } ^ { 2 } of 89% shows that this linear model is appropriate.


A) R2\mathrm { R } ^ { 2 } does not tell whether the model is appropriate,but measures the strength of the linear relationship.High R2\mathrm { R } ^ { 2 } could also be due to an outlier.
B) This R2\mathrm { R } ^ { 2 } means that 89% of the dependent values will fall within one standard deviation of the mean and tells nothing about the appropriateness of the model.
C) An R2\mathrm { R } ^ { 2 } this high means there is a very weak linear association and the model is probably inappropriate.
D) R2\mathrm { R } ^ { 2 } does not tell whether the model is appropriate,but gives the percentage of data points that are close to the model.You can sometimes have a high R2\mathrm { R } ^ { 2 } with a nonlinear relationship.
E) There is nothing wrong with the interpretation.

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