Question

extra example 1: make a scatter plot of this data set. describe the pattern of the data.
x: 1, 2, 4, 5, 5, 7, 8, 10, 11, 13
y: 18, 17, 12, 15, 11, 7, 10, 8, 9, 3

Explanation:

Step1: Identify Coordinates

List the (x, y) pairs: (1,18), (2,17), (4,12), (5,15), (5,11), (7,7), (8,10), (10,8), (11,9), (13,3).

Step2: Plot Points

On the scatter plot, mark each (x, y) point. For x - axis (horizontal) and y - axis (vertical), place dots at the corresponding x and y values.

Step3: Analyze Pattern

Observe the general trend. As x increases, y generally decreases (negative association), with some variability (e.g., at x = 5, y has two values; x = 8, y = 10 which is higher than at x = 7, y = 7, but overall downward trend).

Answer:

To make the scatter plot, plot the points \((1,18)\), \((2,17)\), \((4,12)\), \((5,15)\), \((5,11)\), \((7,7)\), \((8,10)\), \((10,8)\), \((11,9)\), \((13,3)\) on a coordinate system with \(x\) on the horizontal axis and \(y\) on the vertical axis. The data shows a negative association (as \(x\) increases, \(y\) generally decreases) with some scatter (not a perfect linear relationship).