determine whether the correlation coefficients show strong, moderate, or weak correlation.\n$r = - 0.91$\n$r…

determine whether the correlation coefficients show strong, moderate, or weak correlation.\n$r = - 0.91$\n$r = 0.82$\n$r = - 0.49$\n$r = 0.26$\n$r = 0.54$\n$r = - 0.18$\nstrong correlation\nmoderate correlation\nweak correlation

determine whether the correlation coefficients show strong, moderate, or weak correlation.\n$r = - 0.91$\n$r = 0.82$\n$r = - 0.49$\n$r = 0.26$\n$r = 0.54$\n$r = - 0.18$\nstrong correlation\nmoderate correlation\nweak correlation

Answer

Explanation:

Step1: Recall correlation - strength rules

The closer the absolute - value of the correlation coefficient (r) is to 1, the stronger the correlation. If (|r|\geq0.7), it is a strong correlation; if (0.3\leq|r|\lt0.7), it is a moderate correlation; if (|r|\lt0.3), it is a weak correlation.

Step2: Analyze (r = - 0.91)

(\vert-0.91\vert = 0.91\geq0.7), so it is a strong correlation.

Step3: Analyze (r = 0.82)

(\vert0.82\vert = 0.82\geq0.7), so it is a strong correlation.

Step4: Analyze (r=-0.49)

(\vert - 0.49\vert=0.49), and (0.3\leq0.49\lt0.7), so it is a moderate correlation.

Step5: Analyze (r = 0.26)

(\vert0.26\vert = 0.26\lt0.3), so it is a weak correlation.

Step6: Analyze (r = 0.54)

(\vert0.54\vert = 0.54), and (0.3\leq0.54\lt0.7), so it is a moderate correlation.

Step7: Analyze (r=-0.18)

(\vert - 0.18\vert=0.18\lt0.3), so it is a weak correlation.

Answer:

(r=-0.91): Strong Correlation (r = 0.82): Strong Correlation (r=-0.49): Moderate Correlation (r = 0.26): Weak Correlation (r = 0.54): Moderate Correlation (r=-0.18): Weak Correlation