Question

4 phoebe constructs a scatter plot to show the data. what scales could she use for the x - and y - axes?
height and shoe size
shoe size | height (in.)
8 | 60
7 | 64
8 | 63
6 | 60
5 | 54
7 | 59
6 | 60

Explanation:

Step1: Analyze Height Data

The height values are 60, 64, 63, 60, 54, 59, 60. The range is \(64 - 54 = 10\). A scale with intervals (e.g., 1 unit per grid line) or a range that covers 54 - 64 (e.g., 50 - 70 with appropriate scaling) works. For example, x - axis (height) could use a scale from 50 to 70 with each grid line representing 1 inch, or a scale with interval 2 (54, 56, 58, 60, 62, 64) to fit the data.

Step2: Analyze Shoe Size Data

Shoe sizes are 8, 7, 8, 6, 5, 7, 6. The range is \(8 - 5 = 3\). A scale from 5 to 10 with each grid line representing 1 shoe size (since sizes are whole numbers) is suitable. For y - axis (shoe size), a scale from 5 to 10 (or 0 - 10, but 5 - 10 is more focused) with 1 unit per grid line works, as the data points are 5, 6, 7, 8.

Answer:

For the x - axis (height): A scale from 50 to 70 (or 54 to 64) with an interval of 1 (or 2) inch per grid line. For the y - axis (shoe size): A scale from 5 to 10 with an interval of 1 shoe size per grid line. (Example scales: x - axis: 50 - 70, 1 inch per grid; y - axis: 5 - 10, 1 size per grid)