Interpret Your Correlation Matrix (Pearson’s r) Instructions

Interpret Your Correlation Matrix (Pearson’s r) Instructions

Nguyễn Huỳnh Phương ThảoHUF04 -

Pearson Correlation Matrix

Variables Study Time GPA AI Use Frequency Writing Confidence
Study Time 1.00 .62** .34* .18
GPA .62** 1.00 .2...

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Pearson Correlation Matrix

Variables Study Time GPA AI Use Frequency Writing Confidence
Study Time 1.00 .62** .34* .18
GPA .62** 1.00 .28 .41*
AI Use Frequency .34* .28 1.00 .12
Writing Confidence .18 .41* .12 1.00

p < .05, p < .01


Interpretation

After examining the correlation matrix, I identified one strong, one moderate, and one weak relationship.

Strong correlation

There is a strong positive correlation between study time and GPA (r = .62). This means that students who spend more time studying tend to have higher GPAs. In simple terms, as study time increases, academic performance also tends to improve.

Moderate correlation

A moderate positive correlation is found between GPA and writing confidence (r = .41). This suggests that students with higher GPAs are somewhat more likely to feel confident in their writing ability.

Weak correlation

There is a weak positive correlation between study time and writing confidence (r = .18). This indicates only a slight relationship, meaning that studying more does not strongly relate to feeling more confident in writing.

One surprising finding is the weak relationship between AI use frequency and GPA (r = .28), which is lower than expected. I initially thought frequent use of AI tools such as ChatGPT would show a stronger relationship with academic performance.

Another interesting point is that the correlation between AI use frequency and writing confidence (r = .12) is very weak and may not be statistically significant. This suggests that using AI tools more often does not necessarily make students feel much more confident in their writing.


Reply to a classmate (sample)

I found your correlation matrix very interesting, especially the strong relationship between study habits and GPA. One question I have is whether you checked the significance levels for the weaker correlations, since some of them may not be meaningful statistically.

Interpret Your Correlation Matrix (Pearson’s r) Instructions

HạnhHUF04 Võ Thị Bích -
our interpretation is clear, logical, and well-organized. You correctly identified strong, moderate, and weak correlations using Cohen’s guidelines, and your explanations ...

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our interpretation is clear, logical, and well-organized. You correctly identified strong, moderate, and weak correlations using Cohen’s guidelines, and your explanations are easy to understand. The use of simple language (e.g., “as study time increases, GPA increases”) makes your analysis very effective. You also did a good job highlighting surprising findings, especially the weak relationship between AI use and GPA.
To improve, you could be more precise about statistical significance. For example, you noted that r = .28 might be weak, but you should clearly state whether it is significant or not based on the asterisks (*, **). In addition, you could briefly mention the direction (positive/negative) each time to make your interpretation more consistent. Finally, adding one short sentence about the implications of these findings would make your analysis more insightful.

Interpret Your Correlation Matrix (Pearson’s r) Instructions

Hoàng Phan Trung HiếuHUF04 -
Your correlation matrix is clearly presented and easy to interpret. I especially found your identification of strong and weak correlations helpful. However, I’m curious ...

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Your correlation matrix is clearly presented and easy to interpret. I especially found your identification of strong and weak correlations helpful. However, I’m curious about whether you checked the significance levels of all correlations. Do you think any non-significant results might still have practical implications?