Calculating Average Relationship Scores by Teacher ID

Apr 4, 2024, 10:25 AM

Average relationship score by teacher

The average relationship scores by teacher are as follows:
  • Teacher 101: 4.5
  • Teacher 102: 3.5
  • Teacher 103: 2.0

Average academic performance by teacher

The average academic performances by teacher are as follows:
  • Teacher 101: 88.5
  • Teacher 102: 83.0
  • Teacher 103: 70.0

Analyze student performance trends

To analyze student performance trends, we'll plot the academic performance against the relationship score for each teacher. This will help us see if there's a correlation between the relationship score and academic performance.

Summary of Student Performance Trends Analysis

  • Graph Overview: A scatter plot was created to visualize the relationship between academic performance and relationship score, differentiated by teacher ID.
  • Insights:
    • The graph indicates a potential correlation between higher relationship scores and better academic performance, especially for teachers with ID 101 and 102.
    • Teacher 103's students, despite the lower relationship scores, follow this trend to a lesser extent.
  • Conclusion: The analysis suggests that a positive student-teacher relationship might contribute to better academic outcomes, though further investigation with a larger dataset could provide more definitive insights.

Does the quality of teacher-student relationships have a significant impact on academic performance

To determine if the quality of teacher-student relationships has a significant impact on academic performance, we'll perform a statistical analysis. Specifically, we can use a correlation test to see if there's a statistically significant relationship between relationship scores and academic performance.

Impact of Teacher-Student Relationship on Academic Performance

  • Pearson Correlation Coefficient: 0.987
    • This high value suggests a very strong positive correlation between relationship scores and academic performance.
  • P-value: 0.002
    • The low p-value indicates that the correlation observed is statistically significant.
Conclusion: The quality of teacher-student relationships appears to have a significant and positive impact on academic performance.

test the null hypothesis which states that There is no significant relationship between the quality of teacher-student relationships and academic performance

To test the null hypothesis stating there is no significant relationship between the quality of teacher-student relationships and academic performance, we've already conducted a Pearson correlation test. The results were:
  • Pearson Correlation Coefficient: 0.987, indicating a very strong positive correlation.
  • P-value: 0.002, suggesting that the probability of observing this strong correlation by chance is very low.
Since the p-value is less than the commonly used significance level of 0.05, we reject the null hypothesis. This means there is significant evidence to suggest a strong positive relationship between the quality of teacher-student relationships and academic performance.

Explore other factors influencing academic performance

Analyze academic performance by student ID

Academic Performance by Student ID

  • Student 1: 85
  • Student 2: 78
  • Student 3: 92
  • Student 4: 70
  • Student 5: 88
Insight: Academic performance varies across students, with scores ranging from 70 to 92. This variation suggests that individual factors or characteristics may significantly influence academic outcomes.
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