Test the hypothesis that graph should pass through origin

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Reference no: EM131041456 , Length: word count:1000

The use of computer software, such as Excel, StatPlus or specialised statistics packages, is permissible, but you are reminded that you must explain the logic behind your answers, including all assumptions, choice of tests and interpretation of any computer output.

Q1 A study at Ulster University considered the correlation in fifteen SMEs between their abilities to carry out Continuous Improvement (CI) and their cultures of Innovation. For each of the fifteen firms a score was developed to indicate their capability in the two areas. The results are shown below:

Firm Innovation  Score Continuous Improvement
A 4.25 4.19
B 4.92 4.74
C 2.82 2.78
D 4.02 3.78
E 2.98 2.92
f 3.28 3.1
G 3.35 3.32
H 3.34 3.15
I 4.19 4.08
J 3.01 2.92
K 2.88 2.81
L 4.37 4.39
M 4.01 3.83
N 3.36 3.23
O 2.97 2.82
P 3.36 3.23
Q 2.97 2.82

Test the hypothesis that the graph should pass through the origin (i.e. α = 0). Explain what this means in practical terms.

Q.2. (i) The air in a "clean room" used for the production of electronic devices is cleaned by filtering. The air on the outside of the filters is monitored daily to check that ambient conditions are not changing significantly. The table below shows the results of counting the number of dust particles in a standard volume of air over a period of time:

Number of particles in sample

Number of samples

0

34

1

45

2

37

3

18

4

4

5

2

³6

0

(a) If a sample taken at a later date has 8 particles in a standard sample, does it seem that air quality is deteriorating? (Explain your answer, and choice of test.)

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This task provides a clear explanation on Marginal analysis, its advantages and its limitations. in addition, it also provides a brief description on decision analysis by using maximax criterion, minimax criterion and criterion on regret. Simulation techniques also used to determine the total profit and determining optimal allocation of employees. Regression analysis is used to determine the significant factors that predict the administrative cost. the best model is chosen based on coefficient of determination.

Reference no: EM131041456

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