Math Problem Statement

Diberikan data tentang jumlah jam belajar dan nilai ujian sebagai berikut: a) Buatlah diagram pencarnya b) Tentukan jenis korelasinya c) Analisis hubungannya

Solution

Here is the scatter plot based on the provided data, showing the relationship between study hours and exam scores.

Summary of each part:

a. The scatter plot illustrates the trend of the data points: as study hours increase, exam scores tend to increase as well.

b. The correlation is positive, indicating that more study hours are associated with higher exam scores.

c. The relationship appears to be linear. The more hours a student spends studying, the higher their exam score tends to be. The trend is direct and positive, with no outliers disrupting the pattern.

Would you like a detailed explanation on how to calculate the correlation coefficient or anything else?


Here are five related questions:

  1. How is the correlation coefficient calculated from data like this?
  2. How can you determine if a correlation is strong or weak?
  3. What is the equation for the best-fit line based on the data?
  4. How do outliers affect correlation in scatter plots?
  5. What other factors might influence exam scores besides study hours?

Tip: To assess the strength of the relationship, calculating the correlation coefficient rr gives more precise insight into how well the variables relate.

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Math Problem Analysis

Mathematical Concepts

Statistics
Correlation
Scatter Plot

Formulas

Correlation coefficient formula

Theorems

Pearson Correlation

Suitable Grade Level

Grades 10-12