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an investigation is performed to understand the relationship between age and sat

ID: 3155463 • Letter: A

Question

an investigation is performed to understand the relationship between age and satisfaction with medical care. each individual in the investigation is asked to rate satisfaction with medical care on a scale of 0 to 100, with 100 denoting complete satisfaction. other data, including sociodemographic characteristic (age, gender, race) are also recorded on each individual. a total of 200 individuals are involved in the investigation, and the following results were obtained; r=0.43 (p=0.0001), satisfaction = 45.2 + 0.9 age.

a) based on the correlation, are older or younger individuals more likely to be more satisfied with medical care?
b) is the correlation between age and satisfaction significant? justify
c) estimate the satisfaction rating of a 50 year old individual

Explanation / Answer

a) based on the correlation, are older or younger individuals more likely to be more satisfied with medical care?

As r = 0.43, then there is a positive relationship between age and satisfation.

Hence, OLDER INDIVIDUALS TEND TO BE MORE SATISFIED. [ANSWER]

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b) is the correlation between age and satisfaction significant? justify

Yes, as Pvalue = 0.0001, which is very small, the correlation is significant.

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c) estimate the satisfaction rating of a 50 year old individual

As

satisfaction = 45.2 + 0.9 age

then if age = 50,

satisfaction = 45.2 + 0.9*50 = 90.2 [ANSWER]