Technology changes every minute of every day. Not being able to access the web instantly seems almost impossible for the next generation to fathom. Most children born today will never know the sound of a dial-up modem. Changes in technology can be measured using the basic premise of slope or rate of change to examine patterns. Chris Anderson explores the life of technology in a dated 2004 TED Talk. Be aware the data is old (and you may get a chuckle out of some of it), however, the concept of measuring the life of technology is not.
For this Discussion, you examine the components and patterns of a graph and explore interpretations that can be derived from the placement of variables on a graph.
Resources
Be sure to review the Learning Resources before completing this activity.
Click the weekly resources link to access the resources. Technology’s long tail
To prepare for this Discussion:
Review the video on technology’s long tail and select one of the graphs presented in the video.
Reflect on what the graph you selected shows, including what variables are on the x- and y-axis and what patterns are displayed on the graph. Be sure to consider all the key points as presented on the graph.
Think about two points on the graph you selected. Consider how you would write these points, as ordered pairs, and determine the slope between the two points. It is recommended that you pause the video to make it easier to identify two points.
Approximate the y-intercept of the graph you selected. If the y-intercept is not visible on your graph, select a reasonable value for it, and think about why you chose it.
Think about how you would write an equation for the line in the form of y=mx+b using the y-intercept (b) and slope (m), and how you would interpret the slope as a rate of change, including what it means in terms of change for both variables.
Consider a prediction you might make for the year 2025 on your graph, using the slope value as a rate of change, and think about whether or not you feel the prediction is reasonable. Why?
Click on the link above for Chris Anderson’s TED Talk, Technology’s Long Tail.
With these thoughts in mind: By Day 3
Post at least 2 paragraphs responding to the following prompts:
Describe the graph you selected from the video on technology’s long tail including:Provide the time stamp in the video for the graph you have chosen (for example 4:10 would indicate the graph is presented at 4 minutes 10 seconds).
What does the graph show?
What values are on the y- and x-axis?
What is the overall pattern displayed on the graph?
Approximate two points on the graph and write these as ordered pairs. Determine the slope between these two points. Be sure to show the math you used to compute the slope value. Interpret what this slope means as a rate of change between the two variables. Be sure to mention all key points on the graph as presented.
Anderson, C. (2004, February). Technology’s long tailLinks to an external site. [Video]. TED Conferences. https://www.ted.com/talks/chris_anderson_technolog…Note: The approximate length of this media piece is 14 minutes.Technology’s Long Tail TranscriptLinks to an external site.