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 r2 was 52.1%.
Answer
A
About 52.1 percent of the variation in handspan is accounted for by the linear relationship formed with the number of bite-sized pretzels grabbed with the dominant hand.
B
About 52.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.
C
About 47.9 percent of the variation in handspan is accounted for by the linear relationship formed with the number of bite-sized pretzels grabbed with the dominant hand.
D
About 72.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.
Explanation
The coefficient of determination, r², tells us the percent of variation in the response variable explained by its linear relationship with the explanatory variable. Here, handspan is used to explain or predict the number of pretzels grabbed, so 52.1% of the variation in the number grabbed is accounted for by the linear relationship with handspan. The correct choice is B.
AI-written and checked against the verified answer.