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QuizMultiple Choice

R-squared and s

Question 1 • DRHS GA-Statistical Reasoning

In a statistics class, a teacher had the students complete an activity in which they grabbed as many bite-sized pretzels as they could with their dominant hand, without crushing them. The teacher then measured their handspan in centimeters. A regression analysis was completed and the value for s was found to be 3.05.

Answer
A
The average residual is about 3.05 pretzels.
B
The average residual is about 3.05 centimeters.
C
The average handspan of a student is 3.05 centimeters.
D
The average number of pretzels a student could grab is 3.05 pretzels.

Explanation

In a regression analysis, s represents the standard deviation of the residuals, so it describes the typical prediction error in the response variable’s units. Here, the response is the number of pretzels grabbed, so the residuals are measured in pretzels. Thus, s = 3.05 means the typical residual is about 3.05 pretzels.

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