A medical science lab is conducting experiments on the radioactive decay of 11 C

Question

A medical science lab is conducting experiments on the radioactive decay of 11C (carbon-11), an isotope of carbon which is used as a marker in positron emission tomography. They are interested in performing data analysis to determine the rate of decay of the carbon-11 into boron-11 so that they can dose their patients appropriately. Measurements of the mass of carbon-11 (in grams) were taken over the course of two hours.

The data is shown in the Table:

Using the R Studio:

1. Code for creating a data frame that contains the data.

2. Details about the data. Describe the data, such as the name and the data type of each variable, its range, its units, how many observations, etc.

3. Draw a conceptual model that shows the direction of influence for the two variables in the data set. Explain which variable influences the other.

4. Plot of the data, ensuring labels are visible and that the visualisation techniques are appropriate.

TIME N 0 3.98E-07 10 2.90E-07 20 1.90E-07 30 1.35E-07 40 9.97E-08 50 6.95E-08 60 4.97E-08 70 3.09E-08 80 2.63E-08 90 1.76E-08 100 1.26E-08 110 9.06E-09 120 6.70E-09

Explanation / Answer

1.Data Frames

Data frames are versatile data objects you can use in R.

You can think of a data frame object as a being somewhat like a spreadsheet.

Each column of the data frame is a vector. Within each vector, all data elements must be of the same mode.

However, different vectors can be of different modes. All vectors in a data frame must be of the same length.

To create a data frame object, let’s first create the vectors that make up the data frame

-----------------------------------------------------------------//add from 30-110

2.

3.Conceptual diagram

Time influences the mass of the carbon

Time -------> Mass of the carbon //PUT THESE TWO IN SQUARE BOXES AND BETWEEN THEM PUT ARROW .

4.WE CAN USE PIE-CHARTS OR BAR CHARTS TO PLOT THE DATA BETWEEN TIME AND N .

PLOT THE VALUES BETWEEN THESE TWO LIKE THIS

TIME-0,10,20......120

N----->1.00,1.50,2.00,........9.95,10

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