2. # of Absences (in weeks) Exam Grade 1 2 3 4 5 23 014 90 85 95 92 80 Correlation analysis of the data above showed a Pearson correlation coefficient (r) value of -0.98. Interpret the r- value in terms of strength and direction. The significance (p= 0.004) was tested at a = 0.01. Was there a statistically significant correlation between number of absences in class and class exam grade?
2. # of Absences (in weeks) Exam Grade 1 2 3 4 5 23 014 90 85 95 92 80 Correlation analysis of the data above showed a Pearson correlation coefficient (r) value of -0.98. Interpret the r- value in terms of strength and direction. The significance (p= 0.004) was tested at a = 0.01. Was there a statistically significant correlation between number of absences in class and class exam grade?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:## Absences and Exam Grades: Correlation Analysis
### Data Table
| # of Absences (in weeks) | Exam Grade |
|--------------------------|------------|
| 1 | 90 |
| 2 | 85 |
| 3 | 95 |
| 4 | 92 |
| 5 | 80 |
### Analysis
A correlation analysis of the data showed a Pearson correlation coefficient (\( r \)) value of **-0.98**. This implies a very strong negative correlation between the number of absences in weeks and exam grades. This means that as absences increase, exam grades tend to decrease.
The significance of this correlation was tested with a \( p \)-value of **0.004** and an alpha level (\( \alpha \)) of **0.01**. Since the \( p \)-value is less than \( \alpha \), the correlation is statistically significant.
**Conclusion:** There is a statistically significant correlation between the number of absences in class and exam grades.
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