For quantitative variables X and Y, which one of the following statements about
ID: 3069367 • Letter: F
Question
For quantitative variables X and Y, which one of the following statements about r, the correlation coefficient, is FALSE?
r does not have a unit of measure.
Changing the unit of measure for X does not change the value of r.
The correlation coefficient between X and Y is equal to the correlation coefficient between Y and X.
When X and Y have a strong positive linear association then r is close to 1.
r is a useful measure of strength for any form of relationship between X and Y.
15. The average weight of a sample of 12 cans of peaches was x = 32.5 ounces. A 95% confidence interval for the population mean, , was calculated as (32.238, 32.812). Which one of the following actions would produce a wider confidence interval?
using a confidence level of 90%
having a larger population using a confidence level of 99%
having a smaller population
using a sample of 100 cans of peaches
16. There is a strong positive correlation between the size of a hospital (measured by the number of beds) and the median number of days that patients remain in the hospital. Does this mean that choosing to go to a smaller hospital will cause your hospital stay to be shorter?
Yes. Strong correlation implies causation.
No. A negative correlation would allow that conclusion, but this correlation is positive.
Yes. The data come from a valid experiment indicating that stays are shorter in smaller hospitals.
No. The strong positive correlation could possibly be explained by the fact that seriously ill people go to large hospitals.
Explanation / Answer
14 ) Answer :- r is a useful measure of strength for any form of relationship between X and Y.
15) Answer :-
using a confidence level of 99%
having a smaller population
16) answer :- Yes. The data come from a valid experiment indicating that stays are shorter in smaller hospitals.
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