Ages 13–14🧮 Mathematics56 verified questions on this shelf

Scatter Graphs & Correlation

Describe simple mathematical relationships between two variables using scatter graphs, identify positive, negative, or no correlation, and use a line of best fit to make predictions

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Question 1 of 3

A researcher records the number of hours students study per week (x) and their test scores (y). The following data points are plotted: (2, 70), (4, 78), (6, 85), (8, 90), (10, 95). Which statement best describes how well a straight line models the relationship between study time and test score?

Question 2 of 3

The five points (1,2), (2,4), (3,6), (4,8) and (5,9) are plotted on a coordinate plane. Which equation would be the best informal straight‑line model for the relationship shown by these points?

Question 3 of 3

A survey of 100 eighth‑grade students asked two questions: (1) What is your favorite sport? (Basketball, Soccer, or Tennis?) and (2) Do you play a musical instrument? (Yes or No?). The results are shown in the table below. | Favorite Sport | Play Instrument: Yes | Play Instrument: No | Total | |----------------|---------------------|---------------------|-------| | Basketball | 30 | 20 | 50 | | Soccer | 10 | 20 | 30 | | Tennis | 5 | 15 | 20 | | **Total** | 45 | 55 | 100 | Using row relative frequencies, what percent of the students whose favorite sport is Soccer play a musical instrument?

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