Math Problem Statement

Which person's scatter plot has a negative linear association?

Solution

From the uploaded image, the question is asking to identify which scatter plot shows a negative linear association. Here's an analysis of the scatter plots:

  1. Negative Linear Association means that as the values of one variable increase, the values of the other variable decrease, forming a downward slope.

Observations:

  • Bob's scatter plot: This appears to have a U-shape, which does not represent a consistent linear association.
  • Peter's scatter plot: Displays a positive linear association (as one variable increases, the other also increases).
  • Janet's scatter plot: The points are scattered without any discernible linear pattern, so there's no association.
  • Macy's scatter plot: This shows a negative linear association (a clear downward trend).

Correct Answer:

The correct answer is Macy.

Would you like more details about linear associations or scatter plots?

5 Related Questions:

  1. What is the difference between positive and negative linear associations?
  2. How can we calculate the strength of a linear association?
  3. What tools are used to determine whether an association is linear?
  4. How do outliers affect the interpretation of scatter plots?
  5. What other types of trends can scatter plots reveal?

Tip:

When analyzing scatter plots, always focus on the general trend of the points rather than individual deviations!

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Math Problem Analysis

Mathematical Concepts

Scatter plots
Linear associations
Negative correlation

Formulas

Correlation coefficient formula (optional for deeper analysis)

Theorems

Concept of correlation in statistics

Suitable Grade Level

Grades 8-10