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 r2 was determined to be 96%.
Answer
A
4% of the variation in the bass’s length is determined by the variation in the bass’s weight.
B
96% of the variation in the bass’s weight is determined by the variation in the bass’s length.
C
96% of the variation in the bass’s length is determined by the variation in the bass’s weight.
D
98% of the variation in the bass’s weight is determined by the variation in the bass’s length.
Explanation
The coefficient of determination, r² = 96%, means that 96% of the variation in the response variable is explained by its linear relationship with the explanatory variable. Here, length x is the explanatory variable and weight y is the response variable. Therefore, 96% of the variation in the bass’s weight is determined by the variation in its length.
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