Final answer:
The student's question regarding the correlation coefficient (r) and the value of y appears to be incomplete, since the necessary formula or data is not provided. Thus, we cannot determine the correct answer among the provided choices without additional information.
Step-by-step explanation:
The subject being asked about is how to determine the missing value of y when using a formula to compute the correlation coefficient (r). However, the question itself seems incomplete because it doesn't provide the necessary data or formula to complete the calculation. Generally, the correlation coefficient is part of regression analysis, which can help predict one variable based on the other. When you have the regression equation in the form of y = mx + b, where 'm' represents the slope and 'b' the y-intercept, you can make predictions of 'y' based on 'x'. If you know the slope and the x-value, you can rearrange the equation to solve for 'y'. Unfortunately, without the specific formula or data set in the question, we cannot determine which value 'y' would be from the options provided (A. 13, B. 15, C. 12, D. 14).
Understanding the coefficient of determination (r²) is also crucial when it comes to regression and correlation. This value represents the percentage of variation in the dependent variable that can be explained by the independent variable. A coefficient of determination cannot be negative because it is derived from the square of the correlation coefficient, which always produces a non-negative result.