Math Problem Statement

Nate wants to predict how long people use the internet each day based on their age. The table below shows the age (in years) and average daily internet usage (in hours) for a sample of people. Age (years) [3] [10] [16] [22] [35] [55] Internet use (hours per day) [0.0] [1.0] [2.5] [4.0] [3.0] [0.5] All of the scatter plots below display the data correctly, but which one of them displays the data best? By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the [x]-axis. Choose 1 answer: Choose 1 answer: (Choice A) Graph A A Graph A (Choice B) Graph B B Graph B (Choice C) Graph C C Graph C (Choice D) Graph D D Graph D Graph A provides Internet use, in hours, from 0 to 4, in increments of 1, on the y-axis, versus Age, in years, from 0 to 60, in increments of 5, on the x-axis. 6 points rise from (3, 0) to a maximum at (22, 4) before falling to (55, 0.5). All values estimated. [\small{10}] [\small{20}] [\small{30}] [\small{40}] [\small{50}] [\small{1}] [\small{2}] [\small{3}] [\small{4}] [~~~~] Graph B provides Internet use, in hours, from 0 to 14, in increments of 2, on the y-axis, versus Age, in years, from 0 to 150, in increments of 50, on the x-axis. 6 points rise from (3, 0) to a maximum at (22, 4) before falling to (55, 0.5). All values estimated. [\small{50}] [\small{100}] [\small{150}] [\small{2}] [\small{4}] [\small{6}] [\small{8}] [\small{10}] [\small{12}] [\small{14}] Graph C provides Age, in years, from 0 to 60, in increments of 5, on the y-axis, versus Internet use, in hours, from 0 to 4, in increments of 1, on the x-axis. 6 points create a leftward opening U-shape, falling from (0.5, 55) to (4, 22), and rising from (0, 4) to (4, 22). All values estimated. [\small{1}] [\small{2}] [\small{3}] [\small{4}] [\small{10}] [\small{20}] [\small{30}] [\small{40}] [\small{50}] [~~~~] Graph D provides Age, in years, from 0 to 150, in increments of 50, on the y-axis, versus Internet use, in hours, from 0 to 14, in increments of 2, on the x-axis. 6 points create a leftward opening U-shape, falling from (0.5, 55) to (4, 22), and rising from (0, 4) to (4, 22). All values estimated. [\small{2}] [\small{4}] [\small{6}] [\small{8}] [\small{10}] [\small{12}]

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Scatter Plot Analysis
Explanatory and Response Variables

Formulas

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Theorems

Principle of Best Fit for Scatter Plots
Data Interpretation in Graphs

Suitable Grade Level

Grades 6-8