Researchers treat 100 tomato plants with varying amounts of an experimental fertilizer. For each plant, the yield in pounds of tomatoes and the amount of fertilizer applied in ounces are recorded. Which of the following is appropriate to examine the association between the amount of fertilizer and the yield in a single graph?
a. Pie chart
b. Bar graph
c. Scatter plot
d. Histogram
i think c
for 100 plants, I would do a scatter diagram. Plotting each point as (fertilizer, yield).
You are correct, a scatter plot (option c) is the appropriate type of graph to examine the association between the amount of fertilizer and the yield in this scenario.
A scatter plot is a type of graph that displays the relationship between two continuous variables, in this case, the amount of fertilizer applied and the yield of tomatoes. It visually represents individual data points, with each point representing the combination of a specific amount of fertilizer and its corresponding yield. The x-axis represents the amount of fertilizer applied (in ounces), and the y-axis represents the yield of tomatoes (in pounds).
By plotting all the data points on the scatter plot, researchers can determine the nature of the association between the two variables. For example, they can observe whether there is a positive or negative relationship, if the relationship is linear or nonlinear, and if there are any outliers or trends.
Pie charts (option a) are used to display proportions or percentages of a whole, such as the distribution of different tomato varieties or the proportions of different nutrients in the fertilizer. Since the focus here is on the relationship between two continuous variables, a pie chart is not appropriate.
Bar graphs (option b) are typically used to compare different categories or groups with their respective quantities. In this case, since we are examining the association between two continuous variables, a bar graph is not suitable.
Histograms (option d) are used to visualize the distribution of a single quantitative variable, such as the distribution of tomato yield or the distribution of fertilizer amounts. While histograms can provide insights into the distribution of each variable separately, they do not show the association between two variables.
Therefore, a scatter plot (option c) is the correct choice to examine the association between the amount of fertilizer and the yield of tomatoes in a single graph.