Question

example 1: make a scatter plot of this data set. describe the pattern of the data.

Explanation:

Step1: Identify Data Points

List the (x, y) pairs from the table: (1,3), (3,8), (7,9), (2,2), (8,8), (4,5), (5,5), (4,6), (2,4), (6,6), (7,9).

Step2: Set Up Coordinate System

Use the x - axis for x - values (range 1 - 8) and y - axis for y - values (range 2 - 9). Label axes with appropriate scales.

Step3: Plot Each Point

For each (x, y) pair, mark the position on the coordinate plane. For example, for (1,3), move 1 unit along x - axis and 3 units along y - axis and mark the point. Repeat for all pairs.

Step4: Analyze the Pattern

After plotting, observe the trend. As x generally increases, y tends to increase (positive association). The points show a somewhat linear trend with some scatter.

Answer:

To make the scatter plot, plot the points \((1,3)\), \((3,8)\), \((7,9)\), \((2,2)\), \((8,8)\), \((4,5)\), \((5,5)\), \((4,6)\), \((2,4)\), \((6,6)\), \((7,9)\) on a coordinate system with \(x\) - axis (1 - 8) and \(y\) - axis (2 - 9). The data shows a positive association (as \(x\) increases, \(y\) generally increases) with a somewhat linear pattern and some scatter.