Question

Igor recently immigrated to the UK. He was an experienced surgeon in his country but had to re-do his medical training in order to work in the UK.
a) Which point on the graph represents Igor's data?

b) The managing director of this hospital concludes that the salary of a surgeon is linked to their age. Give one reason why the scatter graph might support this conclusion.

(I know that the answer is that it correlates positively but you need this for the next question to make sense.)

c) How could we make this conclusion more reliable?

Answer 1

Answer:

1. a)The cross at around age 41 and salary 30,000.This is because since he had to redo his medical training he is quite old and does receive that much and hence this point isn't inline with the other data.
2. There is a positive correlation showing that age and salary so it's linked.
3. if there was a strong positive correlation without any outliers(data that stands out like igors). If there weren't any outliers it would be completely certain age and salary were linked and it would be more reliable if more data was collected.

Answer 2

Using the information depicted by the points and trend of the plot which shows the relationship between age and surgeons.

A.)

Igor's data is most likely at the coordinate marked (41, 30,000). This is because, his salary probably fell below the normal due to the fact that he had to redo his training. Hence, causing a deviation from the actual trend and since he his experience, he should be quite old too based on the trend of the graph.

B.)

From the trend of the graph which has a positive and upward slope, which could infer that salary is linked to age as salary tends to increase with age.

C.)

To increase the reliability of the conclusion made in B, more samples would be needed for comparison as the 7 samples used to produce the graph is too small compared to the population of surgeons.

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