Question

Graphs that show percentage change can be relevant or irrelevant; and, unfortunately, it takes some tomain knoweldge to decide whichl To demonstrate, consider the following data on some variable which we can call y: (10,11,12,13,14), for the years 2023-2027. a) Make a line graph of the data, by hand or by R (week5_lab1 shows how to make such plots in R).

Answer 1

The line graph of the data (10, 11, 12, 13, 14) for the years 2023-2027 can be relevant in understanding the percentage change over time.

Step-by-step explanation:

The line graph of the data (10, 11, 12, 13, 14) for the years 2023-2027 shows a steady increase over time. By plotting these points on a graph with time on the x-axis and the variable y on the y-axis, we can observe the trend of increase. This demonstrates that the percentage change is relevant as it provides a clear visual representation of the upward trend in the variable y over the years.

Calculating the percentage change between each consecutive year would further support the relevance of the line graph. For example, the percentage change from 2023 to 2024 would be ((11-10)/10)*100 = 10%, and so on for subsequent years. These calculations would provide precise numerical evidence to complement the visual representation shown in the line graph.

In conclusion, the line graph of the data for the years 2023-2027 is relevant as it effectively illustrates the percentage change in the variable y over time, providing both a visual and numerical understanding of its trend.