Create a spreadsheet and graph (advanced). (i) Copy the data in the table below into a spreadsheet. Name and save the file appropriately. Decomposition of \(\mathrm{N}_{2} \mathrm{O}_{5}\) $$ \begin{array}{cc} \text { Time (s) } & {\left[\mathrm{N}_{2} \mathrm{O}_{5}\right]} \\ 0 & 1.000 \\ 40 & 0.762 \\ 80 & 0.580 \\ 120 & 0.442 \\ 160 & 0.336 \\ 200 & 0.256 \\ 400 & 0.066 \\ 600 & 0.017 \end{array} $$ (ii) Use the spreadsheet and chart-making facilities to explore by eye which of the following transformations would result in the best linear fit for these data: reciprocal, square root, cube root or log. (iii) Add a linear trend-line to the chart for the. most appropriate transformation. (iv) Copy the graph to a file in Word and print out.

Short Answer

Expert verified
The solution to this exercise mostly depends on the student's visual analysis after applying reciprocal, square root, cube root, and log transformations to the data. The aim is finding the transformation that makes the plotted data most linear.

Step by step solution

01

Setting up the Spreadsheet

First, open a new spreadsheet in a suitable application such as Microsoft Excel or Google Sheets. Transfer all the data in the table within the exercise into this blank spreadsheet. Remember to save the document with a relevant name, in a proper location.
02

Exploring Transformations With Graphs

Next, plot the given data on the graph using charting facilities in your spreadsheet application. Then, apply each transformation (reciprocal, square root, cube root, or log) to the concentration values (\([\mathrm{N}_{2} \mathrm{O}_{5}]\)), then repeat the graphing for each. Visually inspect the graphs to decide which transformation gives the data a linear appearance. This is subjective and relies on your judgement.
03

Adding a Linear Trendline

After selecting the most appropriate transformation from step 2, add a linear trendline to it. The spreadsheet application usually includes an option allowing you to automatically add a trendline for visualizing patterns or tendencies in the data.
04

Saving and Printing the Graph

Now, with the graph complete with the trendline, it's time to save this work. Copy the graph and paste it into a Word document. Save this document with an appropriate name. You can also print out the document if you need a physical copy.

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