Answer :
We start by noting that the strength of a correlation is determined by the absolute value of the correlation coefficient, regardless of whether it is positive or negative.
The correlation coefficients given are:
[tex]$$
r_A = -0.87, \quad r_B = -0.78, \quad r_C = 0.79, \quad r_D = 0.86.
$$[/tex]
Next, we calculate the absolute values of these coefficients:
[tex]$$
|r_A| = 0.87, \quad |r_B| = 0.78, \quad |r_C| = 0.79, \quad |r_D| = 0.86.
$$[/tex]
Comparing these values, we observe that the largest absolute value is
[tex]$$
\max \{0.87, 0.78, 0.79, 0.86\} = 0.87.
$$[/tex]
Since Student A has an absolute correlation coefficient of [tex]$0.87$[/tex], the data from Student A exhibits the strongest correlation.
Thus, the answer is: Student A.
The correlation coefficients given are:
[tex]$$
r_A = -0.87, \quad r_B = -0.78, \quad r_C = 0.79, \quad r_D = 0.86.
$$[/tex]
Next, we calculate the absolute values of these coefficients:
[tex]$$
|r_A| = 0.87, \quad |r_B| = 0.78, \quad |r_C| = 0.79, \quad |r_D| = 0.86.
$$[/tex]
Comparing these values, we observe that the largest absolute value is
[tex]$$
\max \{0.87, 0.78, 0.79, 0.86\} = 0.87.
$$[/tex]
Since Student A has an absolute correlation coefficient of [tex]$0.87$[/tex], the data from Student A exhibits the strongest correlation.
Thus, the answer is: Student A.
