Correlation coefficients are an effective tool for determining if the results of a survey or project are strong or weak. In 3–5 sentences, create a situation where you would want to see the correlation between two variables. Would you want a strong or weak correlation? What would it mean if you had a negative correlation? What would it mean if you had a positive correlation? (4 points)
One situation where you would want to see the correlation between two variables is when examining the relationship between study time and exam scores. In this case, you would want a strong positive correlation, as it would indicate that increased study time is associated with higher exam scores. A weak correlation would suggest that the two variables are not closely related and that other factors may be influencing the results.
A negative correlation would mean that as one variable increases, the other decreases. In the study time and exam scores example, a negative correlation would imply that studying more leads to lower exam scores, which would be counterintuitive. Conversely, a positive correlation would mean that as one variable increases, the other also increases. In this case, a positive correlation would support the idea that more study time results in higher exam scores.