2. Consider the following: We can measure program length in a variety of ways, including LOC, thousands of LOC, the number of characters contained in the program, the number of executable statements, and more. Suppose M is the measure of program length in LOC, while M captures length as number of characters. Then we can transform one to the other by computing M = aM, where a is the average number of characters per line of code. a) How the attribute of empirical relation determine the scale types of ratio and absolute scale? Discuss your answer. b) Identify the direct and derived measurement.

3. Suppose yesterdays temperatures on the Celsius scale were 35C in Tokyo and 25C in London, while today it is 40C in Tokyo and 20C in London. However, on the Fahrenheit scale, yesterdays temperatures were 95F in Tokyo and 77F London , todays are 104F in Tokyo and 68F in London. a) Write a meaningful statement in temperature differences. b) The scenario above able to imply the ratio scale. Determine the mapping of representation condition. c) Explain the numerical relation provided in answer (b).