8
AssignmentMultiple Choice

Correlation

Question 8 • DRHS GA-Statistical Reasoning

If the temperature is converted to degrees Celsius and the electricity used to kilowatt-hours, how will the value of r be affected?

Answer
A
It will increase because a kilowatt-hour is greater than a watt-hour.
B
It will decrease because a kilowatt-hour is greater than a watt-hour.
C
It will decrease because Celsius temperatures are lower than Fahrenheit temperatures.
D
It will stay the same because correlation is unitless.

Explanation

Correlation does not change when either variable is converted using a positive linear transformation. Converting Fahrenheit to Celsius subtracts 32 and multiplies by 5/9; converting watt-hours to kilowatt-hours divides by 1,000. These changes alter the units and numerical values, but not the correlation, so it stays the same because correlation is unitless.

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