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Sometimes the speeds (per hour) of rollercoasters are recorded as kilometerskilo

ID: 3020701 • Letter: S

Question

Sometimes the speeds (per hour) of rollercoasters are recorded as kilometerskilometers, other times as miles. The difference is a factor of 1.6. Kilometers are 1.6 times the miles. How does this choice affect the estimated value for beta 11 in a regression that appears in a SRM with the speeds (per hour) of rollercoasters as the response variable y? What about beta 00 in the SRM?

How does this choice affect the estimated value for beta 11 in a regression that appears in a SRM?

A. The value for beta 11 changes by a factor of 1.6 and takes on the same units as the response.

B. The value for beta 11 changes by a factor of 1.6.

C. The value for beta 11 changes by 1.61.6.

D. The value for beta 11 remains the same.

E. The value for beta 11 changes by a factor of StartRoot 1.6 EndRoot1.6 and takes on the same units as the response.

What about beta 00 in the SRM?

A. The value for beta 00 changes by 1.6.

B. The value for beta 00 changes by a factor of 1.6 and has different units than the response.

C. The value for beta 00 changes by a factor of 1.6 and has the same units as the response.

D. The value for beta 00 remains the same.

E. The value for beta 00 changes by a factor of StartRoot 1.6 EndRoot1.6 and has the same units as the response.

Explanation / Answer

How does this choice affect the estimated value for beta 11 in a regression that appears in a SRM?

A. The value for beta 11 changes by a factor of 1.6 and takes on the same units as the response.

What about beta 00 in the SRM?

D. The value for beta 00 remains the same.

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