Question

(05.07 LC)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 18Number of questions they could answer (y) 1717 17 17 17 17 17What is the correlation coefficient for the data, and what does it represent?O 0; it represents no correlation between x and yO 1; it represents a linear positive correlation between x and y0 -1; it represents a linear negative correlation between x and yO 1; it represents a linear negative correlation between x and y

Answer 1

Solution

- The question gives us a table of values and we are asked to make an inference about the correlation coefficient of the x and y values.

- The table given shows us that for every x-value, the y-value is always constant. This is the most significant feature of the table

- The definition of the Correlation Coefficient is that it is:

A number between +1 and −1 which is calculated so as to represent the linear interdependence of two variables or sets of data.

- This implies that the correlation coefficient shows us the strength of the linear relationship between x and y as x changes.

- However, from our question, the values of y do not change despite the values of x changing.

Final Answer

Option A