Math Problem Statement
The scatter plot below compares students' heights to the number of text messages they send daily. What would be the best prediction of the number of text messages
sent by a student who is 68 inches tall?
Studext essage and
Text Messages
Sent Daily
160
140
120
100
80
40
20
60 61 62
63 64 65 66 67 68
Height (in inches)
A.
20
B.
45
C. 110 D. The scatter plot shows no association, so it is not possible
to make a prediction.
Solution
To determine the best prediction for the number of text messages sent by a student who is 68 inches tall:
-
Look at the scatter plot and observe the general trend or association between height and the number of text messages sent daily.
- If the points show a consistent increase or decrease, there's a positive or negative association.
- If the points are scattered randomly, there may be no association.
-
Find 68 inches on the x-axis (height) and locate the corresponding y-value (text messages sent daily) using the trend.
Answer Explanation:
- If there's a clear positive or negative trend, estimate the y-value for 68 inches based on the line or general direction of the points.
- If there’s no discernible pattern, the answer is D ("no association").
Let me know if you'd like me to analyze further with more context or details from the scatter plot!
Questions:
- What does a positive association between two variables mean in a scatter plot?
- How can we determine a line of best fit for a scatter plot?
- What other types of correlation (besides positive and negative) can scatter plots exhibit?
- Why might data in a scatter plot not allow for a prediction?
- How does interpolation differ from extrapolation in scatter plot analysis?
Tip:
When analyzing scatter plots, always identify trends (linear, quadratic, etc.) before making predictions or concluding an association.
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Math Problem Analysis
Mathematical Concepts
Data Analysis
Scatter Plots
Trends and Associations
Prediction
Formulas
No explicit formulas used, but interpretation of data trends
Theorems
Concept of Correlation in Data Analysis
Suitable Grade Level
Grades 6-8
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