Unit 1

Question 1

How do you calculate absolute error?

Answer 1

Half of the smallest possible value for the same no of significant figures

Question 2

How do you calculate the relative error?

Answer 2

The magnitude of absolute error divided by true value

Question 3

What are the properties of adding and multiplying errors which are most useful?

Answer 3

Ea+Eb=E(a+b)
Rab=Ra+Rb
Eab=ab(Rab)

Question 4

What is true of error when subtracting and dividing?

Answer 4

Use the same calculations as for adding / multiplying

Question 5

What is Injectivity?

Answer 5

Each input has exactly one output but not all output have a corresponding input

Question 6

What is Surjectivity?

Answer 6

All output have a corresponding input, though some output may result from multiple inputs

Question 7

What is Bijectivity?

Answer 7

Every input had one and only one output, all outputs have one and only one input

Question 8

How do you find the line of best for a series of (x,y) coordinates?

Answer 8

(Σxy-Σx Σy)/(Σ(x^2)-(Σx)^2)