Question

The scatter diagram shows the age and yearly salary of a sample of seven surgeons in a hospital.

Answer 1

Answer:

a) Point (42, 30,000)

b) The salaries are directly proportional to the age of a surgeon to a large extent

c) By performing regression analysis

Step-by-step explanation:

a) From the given information;

Given that Igor is an experienced surgeon that just completed his medical training, Igor has;

1) Years of experience

2) Redid his medical training to obtain the same qualification with more time spent

3) Able to work only with his newly acquired re-qualification

Therefore, Igor will receive wages similar to other recently trained surgeons that have similar years of experience post Igor's re-qualification

The point that most likely will represent Igor's data will have his years of experience and wage commensurate with his UK based post qualification experience, which is the point (42, 30,000)

b) Because from the graph apart from the two points, (that of Igor and (34, 44,000)), the salaries of the other points vary proportionately with the age of the Surgeon

c) By carrying out a regression analysis as follows;

A = 50, 55,000

B = 42, 46,000

C = 38, 42,000

D = 34, 44,000

E = 42, 30,000

F = 26, 30,000

G = 22, 28,000

Analyzing the above data using excel regression analysis gives Which gives

R² = 0.5739 which shows that approximately 60% of the data fit the Managing Directors data

The equation is as follows;

y = 790·x + 10620

Where

y = Salary

x = Age of surgeon.