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katen-ka-za
1 month ago
5

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?

Mathematics
1 answer:
AnnZ [12.3K]1 month ago
4 0

Answer:

a) The outlier is the point located at the bottom right of the graph

b) The plotted points resemble a line that has a positive gradient

c) By conducting correlation analysis, we can determine the strength of the correlation

Step-by-step explanation:

a) The problem presents a scenario where Igor, who has recently moved, is experienced but needs to retrain medically to practice in the UK

Thus, he corresponds to the outlier situated nearest to the graph's bottom right

b) According to the scatter graph, there's a direct relationship showing that as a doctor's age increases, their annual salary tends to climb as well

Referencing the graph:

Age      Salary

22        £28000

26        £30000

34        £44000

38        £42000

42        £30000

42        £46000

50        £55000

The data points follow a line demonstrating the proportional increase of salary with age.

c) To reinforce this conclusion's reliability, correlation analysis should be conducted to ascertain the relationship between age and annual incomes.

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babunello [11817]

The last part of the question is asking;

What was the total amount spent by all (99.7%) students on textbooks in a semester?

Response:

almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

Stepwise clarification:

The standard deviation rule informs that for normally distributed data, approximately 99.7% of observations fall within three standard deviations from the mean.

In this case, we have the given mean as 240, and standard deviation as 25

Thus, calculating three standard deviations below the mean: Mean - 3(standard deviation)

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yielding 240 - 75 = 165

Now, for three standard deviations above the mean: Mean + 3 (standard deviation) = 240 + (3 × 25)

equals 240 + 75 = 315

Therefore, nearly all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

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