R-squared and s — Quiz Answers

10 verified answers
4

The length, x (in inches), and weight, y (in ounces), for a type of bass were measured for a random sample of 10 bass from a lake. These measurements were then analyzed and the value for r squared was determined to be 96% Which of the following is the best interpretation of this value?

A
96 percent of the variation in the bass’s length is determined by the variation in the bass’s weight.
B
4 percent of the variation in the bass’s length is determined by the variation in the bass’s weight.
C
98 percent of the variation in the bass’s weight is determined by the variation in the bass’s length.
D
96 percent of the variation in the bass’s weight is determined by the variation in the bass’s length.
7

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 r squared was 52 point 1 percent Which of the following is the correct interpretation of r squared ?

A
About 52 point 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 point 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 72 point 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.
D
About 47 point 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.
9

A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x , and their grade point average (GPA), y He collects data for 15 randomly selected students and determines the value for r squared was 31 percent Which of the following gives the best interpretation of this value?

A
56 percent of the variation in the GPA is accounted for by the linear relationship with number of absences.
B
31 percent of the variation in the GPA is accounted for by the linear relationship with number of absences.
C
31 percent of the variation in the number of absences is accounted for by the linear relationship with GPA.
D
69 percent of the variation in the number of absences is accounted for by the linear relationship with GPA.

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