2. Describing Data with Tables and Graphs
Visualizing Qualitative vs. Quantitative Data
1:12 minutesProblem 10.1.11a
Textbook Question
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Exercises 11 and 12 provide two data sets from “Graphs in Statistical Analysis,” by F. J. Anscombe, the American Statistician, Vol. 27. For each exercise,
a. Construct a scatterplot.
Verified step by step guidance1
Step 1: Begin by identifying the data points from the table. Each pair of (x, y) values represents a coordinate in the scatterplot. For example, the first pair is (10, 9.14), the second pair is (8, 8.14), and so on.
Step 2: Set up a graph with an x-axis and y-axis. Label the x-axis with the values of 'x' and the y-axis with the values of 'y'. Ensure the axes cover the range of the data provided (x values range from 4 to 14, and y values range from 3.10 to 9.26).
Step 3: Plot each data point on the graph. For example, plot (10, 9.14) by locating 10 on the x-axis and 9.14 on the y-axis, then marking the point where these values intersect. Repeat this for all pairs in the table.
Step 4: After plotting all points, visually inspect the scatterplot to observe any patterns, trends, or clusters. This will help in understanding the relationship between x and y.
Step 5: Optionally, add a title to the scatterplot and label the axes to make the graph more informative. For example, the title could be 'Scatterplot of x vs. y', and the axes could be labeled 'x values' and 'y values'.
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