Question

The table shows the age of some participants in a quiz competition and the number of questions they could answer correctly:

Age (years) (x) 15 21 17 22 16 19 18
Number of questions they could answer (y) 17 17 17 17 17 17 17


What is the correlation coefficient for the data, and what does it represent?
0; it represents no correlation between x and y
1; it represents a linear positive correlation between x and y
−1; it represents a linear negative correlation between x and y
1; it represents a linear negative correlation between x and y

Answer 1

Explanation:

The output (y) is the same for all inputs x, so we conclude that there is NO CORRELATION between x and y; the correlation coefficient is zero (0).

Answer 2

Answer: 0; it represents no correlation between x and y

Step-by-step explanation: There is no correlation because the questions answered correctly(y), correlating with the ages (x), do not change. Hope this helps!