A doctoral student wants to determine the relationship between steps per minute and the time it takes to walk 100 feet in
minutes. Thirty trials are completed and the correlation coefficient between steps per minute and time in minutes is determined
to be -0.543. Therefore, fewer steps per minute were related to longer time spans. How is the correlation affected if the units for
time are changed from minutes to seconds? (3 points)
The correlation and time measurement would change proportionally to one another.
The correlation would increase because changing the units for time would result in an increase in time values.
It is impossible to determine the amount of change experienced by the correlation.
The correlation would decrease because only the units for one of the variables changed.
The correlation would stay the same because the change in units for time would have no effect on it.

Question

15-05-2022
Mathematics

contestada

A doctoral student wants to determine the relationship between steps per minute and the time it takes to walk 100 feet in
minutes. Thirty trials are completed and the correlation coefficient between steps per minute and time in minutes is determined
to be -0.543. Therefore, fewer steps per minute were related to longer time spans. How is the correlation affected if the units for
time are changed from minutes to seconds? (3 points)
The correlation and time measurement would change proportionally to one another.
The correlation would increase because changing the units for time would result in an increase in time values.
It is impossible to determine the amount of change experienced by the correlation.
The correlation would decrease because only the units for one of the variables changed.
The correlation would stay the same because the change in units for time would have no effect on it.

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joaobezerra joaobezerra · Answer 1 · 2022-05-19T10:45:36+02:00

Using correlation coefficients, it is found that that the correct option is given as follows:

The correlation would stay the same because the change in units for time would have no effect on it.

What is a correlation coefficient?

It is an index that measures correlation between two variables, assuming values between -1 and 1.

If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

The correlation coefficient does not have units, hence if the units of the measures is changed, the coefficient remains constant, which means that the correct option is given by:

The correlation would stay the same because the change in units for time would have no effect on it.

More can be learned about correlation coefficients at https://brainly.com/question/25815006

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