Question

Scatter Plots & Data Analysis Unit Test 23 of 2323 of 23 Items Question Use the image to answer the question. (A scatterplot shows the number of cups of coffee sold versus temperature. The horizontal axis shows temperature, in degrees Fahrenheit, ranging from 0 to 70 in increments of 5, with an initial jump from 0 to 25. The vertical axis shows number of cups of coffee sold, ranging from 0 to 60 in increments of 10. A kink is shown on the horizontal axis close to origin. A tightly packed cluster of data plots is plotted between 30 to 37 on the horizontal axis and 42 to 48 on the vertical axis. A loosely packed cluster of data plots is plotted between 40 to 51 on the horizontal axis 30 and 38 on the vertical axis and. A dot is plotted at 62 on the horizontal axis and 5 on the vertical axis.) Numbers of Cups of Coffee Sold Versus Temperature Using 8th-grade verbiage, interpret the scatterplot by describing any outliers and patterns of clustering. (4 points) Math Short Answer Rubric (4 points) This table shows the criteria for awarding points and the corresponding point values. Points Awarded Criteria 4 The answer is clear and correct. The answer shows that the student used problem-solving skills and reasoning. All work is shown or explained. 3 The answer is mostly correct. The student made small errors while solving. The answer shows that the student used some problem-solving skills and reasoning. Most work is shown or explained. 2 The answer is partially correct. The student made errors while solving. The answer shows that the student used some problem-solving skills or reasoning. Some work is shown or explained. 1 The answer is incorrect. The student made errors while solving. The answer shows little problem-solving skills or reasoning. Little or no work is shown. 0 The question is not answered. Skip to navigation

Answer 1

In the scatterplot showing the number of cups of coffee sold versus temperature, we can see some interesting patterns and an outlier.

Clusters: There are two main clusters of data points. The first cluster is tightly packed between temperatures of 30 to 37 degrees Fahrenheit and shows coffee sales between 42 and 48 cups. This suggests that when the temperature is cooler (around 30-37°F), more cups of coffee are sold, indicating that people are likely to drink more coffee in cooler weather.

The second cluster is more spread out, ranging from 40 to 51 degrees Fahrenheit, with coffee sales between 30 and 38 cups. This indicates a slightly less consistent pattern in coffee sales, meaning that as the temperature increases to a mild level (40-51°F), people still buy coffee, but the number of cups sold varies more.

Outlier: There's one notable outlier on the scatterplot; a single point is plotted at 62 degrees Fahrenheit and only 5 cups sold. This is quite different from the rest of the data, as it shows that at a higher temperature, very few cups of coffee were sold. This could imply that on warmer days, people are less inclined to buy hot coffee, which fits with what we might expect.

In summary, the scatterplot indicates that cooler temperatures generally lead to higher coffee sales, while the outlier suggests that warmer temperatures result in significantly less interest in buying coffee.