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Scatter Plot Data Questions

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Scatter Plot Data Questions

Scatter plot graph illustration

📊 Part 1: Understanding Variables for Scatter Plots

1. Which pair of variables would create the BEST scatter plot relationship?

Height of students and their favorite color

Hours of study time and test scores

Student names and their shoe sizes

Day of the week and temperature

Answer: Hours of study time and test scores. This pair is numerical and likely to show a correlation.

2. For a scatter plot, both variables must be:

Categorical (like colors or names)

Numerical (like measurements or counts)

One categorical and one numerical

Written as complete sentences

Answer: One categorical and one numerical. This allows for a meaningful scatter plot.

3. Which of these could be good scatter plot questions? (Check all that apply)

How does shoe size relate to height?

What is your favorite pizza topping?

How does time spent exercising affect heart rate?

Is there a relationship between age and allowance amount?

Answer: Good questions include: "How does shoe size relate to height?" and "How does time spent exercising affect heart rate?" These involve numerical data.

4. Sarah wants to study if there's a relationship between the number of hours students sleep and their grades. What are her two variables?

Variable 1 (x-axis): Hours of sleep

Variable 2 (y-axis): Grades

Answer: Variable 1 is hours of sleep, and Variable 2 is grades.

✏️ Part 2: Creating Your Own Data Questions

5. Create a question that would collect data for a scatter plot about students' physical characteristics.

Your question: ________________________________________________________________

Variable 1: _____________________________ Variable 2: _____________________________

Example: "How does height relate to weight?" Variable 1: Height, Variable 2: Weight.

6. Write a data collection question about the relationship between time and academic performance.

Example: "How does the number of hours spent studying affect test scores?"

7. Marcus collected data on "Hours of video games played per week" and "Hours of sleep per night." Explain how this data would be displayed on a scatter plot.

Answer: The x-axis would represent hours of video games played, and the y-axis would represent hours of sleep. Each point on the plot would show the relationship between these two variables.

8. Look at this scenario: A teacher wants to see if there's a connection between students' attendance (days present) and their final exam scores. Write two specific questions she could ask to collect this data.

Question 1: ________________________________________________________________

Question 2: ________________________________________________________________

Example: Question 1: "How many days did you attend class?" Question 2: "What was your final exam score?"

🎯 Part 3: Data Analysis Planning

9. You want to investigate whether there's a relationship between the number of books students read over summer and their reading test scores in September. Describe your data collection plan.

Answer: Collect data on the number of books read by each student and their corresponding reading test scores. Use a survey to gather this information.

10. Choose ONE topic and create a complete data collection question for a scatter plot:

Sports and fitness

Technology use and grades

Weather and activities

Age and preferences

My chosen topic: _________________________________

My data question: ________________________________________________________________

This would create a scatter plot with _________________ on the x-axis and _________________ on the y-axis.

Example: Chosen topic: Technology use and grades. Data question: "How does time spent on homework relate to grades?" X-axis: Time spent on homework, Y-axis: Grades.

🔑 Answer Key

1. Best relationship: Hours of study time and test scores.

2. Both variables must be one categorical and one numerical.

3. Good scatter plot questions: "How does shoe size relate to height?" and "How does time spent exercising affect heart rate?"

4. Variables: Hours of sleep (x-axis), Grades (y-axis).

5. Example question: "How does height relate to weight?"

6. Example question: "How does the number of hours spent studying affect test scores?"

7. Data representation: X-axis for hours of video games, Y-axis for hours of sleep.

8. Example questions: "How many days did you attend class?" and "What was your final exam score?"

9. Data collection plan: Survey students on books read and test scores.

10. Example topic: Technology use and grades. Data question: "How does time spent on homework relate to grades?"

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