Question

It is claimed that elderly people who live in highly polluted areas are more likely to require medical care. Data was collected on 594 elderly and their medical care cost, and a correlation coefficient of 0.82 was found. What does this mean?

Group of answer choices

There is a strong association between the region where elderly population live and their medical cost

There is a moderate association between the region where elderly population live and their medical cost

There is a strong association between the level of pollution in the regions where elderly population live and their medical cost There is a moderate association between the level of pollution in the regions where elderly population live and their medical cost

It is claimed that elderly people who live in highly polluted areas (micrograms per cubic meter) are more likely to require medical care ($). Data was collected on 594 elderly and their medical care cost, and a regression equation of Y = 5200 + 240X was calculated. Select the correct interpretation.

Group of answer choices

For every new region, pollution goes up by 240 micrograms

In a region with no pollution, there is $240 medical care cost

when pollution is 240 micrograms, medical cost is $5,200.

In a region with no pollution, there is $5,200 medical care cost

Answer 1

Solution(a)
Given in the question
It is claimed that elderly people who live in highly polluted areas are more likely to require medical care
Correlation coefficient r = 0.82
As the correlation coefficient value is more than 0.70, so both are variables are strongly and positively correlated with each other. So its correct answer is C. i.e. there is a strong association between the level of pollution in the region and their medical cost.
Solution(b)
Given that Y = 5200 + 240X
Here Y-intercept = 5200
Slope of regression line = 240
Y is Medical care cost and X is Pollution level
If there is no pollution that means X =0, so Y = 5200
So its correct answer is D. i.e. In a region with no pollution, there is $5200 medical care cost.