Other Math Answers

𝐃𝐈𝐑𝐄𝐂𝐓𝐈𝐎𝐍: Answer the following question either True or False. If your answer is True, explain why. If your answer is False state the part that makes the statements false.

1. Leonardo Bigollo's study of the Fibonacci sequence began with the breeding patterns of rats.

2. The terms of the Fibonacci Sequence are called Fibonacci numbers.

3. Binet's Formula is being used in determining unknown Fibonacci numbers because they are difficult to determine using manual method.

4. There is a formula that can be used to determine if two quantities are in a golden ratio or not.

5. 610 and 377 are quantities in a golden ratio.

Evaluate (10^9)(10³)

5) A civil engineer found that the durability d of the road, she is laying depends on two functions y, and y2 as follows: d = y_{2} ^ 2 + 4y_{1} - 21 Functions y, and yo depend on the amount of plastic (r) mixed in bitumen, and their variations are linear functions of z. Let y = 8 and y_{2} = 3 for x = 0 and y_{1} = 0 and y_{2} = 7 for x = 7 Find the durability of the road (upto 2 decimal points), if the amount of plastic is such that both the functions are equal

The median age of the onset of diabetes is thought to be 45 years. The ages at onset of a 

random sample of 16 people with diabetes are:

26.2 30.5 35.5 38.0 39.8 40.3 45.0 45.6

45.9 46.8 48.9 51.4 52.4 55.6 60.9 65.4

Perform the

(a) sign test,

(b) Wilcoxon signed-ranks test,

to determine if there is any evidence to conclude that the median age of the onset of 

diabetes differs significantly from 45 years. Take α = 0.05

Define a random walk process and show that it is not stationary. Describe how you can make it stationary. Give an example of a time series that behaves like a random walk.

Explain the meaning of the following as used in time series analysis

i) Stationary in the strong sense

ii) Stationary in the weak case

iii) Random walk process

State the major problems of the method of moving averages in measuring trend component in a given time series