Question

use the data in the table to construct a scatter plot. then use the typing tool to describe any association that you notice between the two variables. the table below shows the number of items in several customers shopping carts and the total cost of their purchase rounded to the nearest dollar. items in cart total cost ($) 6 18 10 50 32 184 30 165 11 98 27 129 20 115 39 227 16 70 describe any patterns of association you notice in the scatter plot.

Explanation:

Step1: Identify Data Points

Each row in the table gives a pair \((x, y)\) where \(x\) is "Items in Cart" and \(y\) is "Total Cost (\$)". The points are: \((6, 18)\), \((10, 50)\), \((32, 184)\), \((30, 165)\), \((11, 98)\), \((27, 129)\), \((20, 115)\), \((39, 227)\), \((16, 70)\).

Step2: Plot Points on Scatter Plot

• For \((6, 18)\): Find \(x = 6\) on the x - axis (Items in Cart) and \(y = 18\) on the y - axis (Total Cost). Mark the point.
• For \((10, 50)\): Find \(x = 10\) and \(y = 50\), mark the point.
• For \((32, 184)\): Find \(x = 32\) and \(y = 184\), mark the point.
• For \((30, 165)\): Find \(x = 30\) and \(y = 165\), mark the point.
• For \((11, 98)\): Find \(x = 11\) and \(y = 98\), mark the point.
• For \((27, 129)\): Find \(x = 27\) and \(y = 129\), mark the point.
• For \((20, 115)\): Find \(x = 20\) and \(y = 115\), mark the point.
• For \((39, 227)\): Find \(x = 39\) and \(y = 227\), mark the point.
• For \((16, 70)\): Find \(x = 16\) and \(y = 70\), mark the point.

Step3: Analyze Association

After plotting, observe the trend. As the number of items in the cart (\(x\)) increases, the total cost (\(y\)) generally increases. The points seem to follow an upward - sloping pattern, indicating a positive association (correlation) between the number of items in the cart and the total cost of the purchase.

Answer:

To construct the scatter plot, plot the points \((6, 18)\), \((10, 50)\), \((32, 184)\), \((30, 165)\), \((11, 98)\), \((27, 129)\), \((20, 115)\), \((39, 227)\), \((16, 70)\) on the given grid. The association is a positive linear (or approximately linear) association: as the number of items in the cart increases, the total cost of the purchase generally increases.