10 A scatter plot reveals a linear relationship between Leng

10. A scatter plot reveals a linear relationship between Length and Age, with a correlation coefficient of 0.93 and a coefficient of determination of 0.86. Which of the following conclusions would be most appropriate? A) The length and the age of the snake are statistically independent. B) The length of the snake increases in average by about 0.93 mm for each additional day. C) About 86% of the variation in the length of the snake is explained by its age. D) The snake was 278 mm long at birth. E) There is a negative association between Length and Age.

Solution

Coefficient of determination gives the variation of the dependent variable explained by the independent variable.

Here it has a vale .86 so, 86% of the variation in length is explained by the snake\'s age