Which of the Following Statements Is True

question 39

Multiple Choice

Which of the following statements is true?

• A) The interval estimate for predicting a particular value of y given a specific x will be narrower than the interval estimate for the average value of y given a particular x.
• B) The higher the r-square value, the wider will be the prediction interval based on a simple linear regression model.
• C) The prediction interval generated from a simple linear regression model will be narrowest when the value of x used to generate the predicted y value is close to the mean value of x.
• D) The prediction interval generated from a simple linear regression model will be widest when the value of x used to generate the predicted y value is close to the mean value of x.

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Definitions:

William James

An American philosopher and psychologist, often referred to as the father of American psychology, who made significant contributions to the fields of philosophy and psychology in the late 19th and early 20th centuries.

Sociohistorical Context

Refers to the social, cultural, and historical environment or background influencing an event or subject.

Wilhelm Wundt

A German physician, physiologist, and philosopher widely considered the father of experimental psychology, who founded the first formal laboratory for psychological research at the University of Leipzig.

19th Century

The period of time that stretches from January 1, 1801, to December 31, 1900, marking the nineteenth century in the Gregorian calendar.