Simple Linear Regression — Test

Question 11 • Statistics

How would the correlation change if the stopping distances were recorded in meters, rather than feet?

Answer

Since the points would be more spread out, the value of the correlation coefficient would decrease.

Since the number of meters would be less than the number of feet, the value of the correlation coefficient would decrease.

The value of the correlation coefficient would not change.

Since the number of meters would be less than the number of feet, the value of the correlation coefficient would increase.

Explanation

Converting feet to meters multiplies every stopping distance by the same positive constant (about 0.305). Correlation measures the strength and direction of the linear relationship, and it does not change when one variable is rescaled by a positive constant. So the correlation coefficient would not change.

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