Question 4 Choose the most appropriate completion of the sentence. In order to indicate a strong correlation between variables, the correlation coefficient will be near \( -1 / 16 \) near \( 1 / 2 \) near 1 near 10 near -1
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To indicate a strong correlation between variables, the correlation coefficient will be near 1 or near -1. A correlation coefficient close to 1 signifies a strong positive correlation, meaning as one variable increases, the other also tends to increase. Conversely, a correlation coefficient close to -1 indicates a strong negative correlation, where one variable decreases as the other increases. It's essential to remember that a correlation coefficient can only range from -1 to 1; any number outside of this range, such as 10, is not valid in this context. Thus, values like 0.5 or -0.0625 do not indicate strong correlations, as they are closer to zero. Always aim for the extremes if you're hoping to demonstrate a compelling relationship!