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Question 1/49
A researcher collected data on the traffic frequency on a section of road. The results are shown in the scatterplot. A regression function is graphed with r^2=0.96. The predicted traffic frequency 16.2 hours after dawn is 70 cars per minute.

Is this prediction appropriate?

Is this prediction appropriate?
Correct Answer: C
The value
r^2=0.96
indicates a strong fit because it is very close to 1. This means the regression model explains much of the variation in the traffic-frequency data.
However, we also need to check whether the prediction at
x=16.2
is a reasonable extrapolation.
From the scatterplot, the observed data values appear to extend to about:
x=14
The predicted value is slightly beyond the observed data range, but not extremely far beyond it.
Since x=16.2is still within a reasonable extrapolation range, and the model has a strong r^2value, the prediction is appropriate.
Therefore, the correct answer is:
# ( " C " )
r^2=0.96
indicates a strong fit because it is very close to 1. This means the regression model explains much of the variation in the traffic-frequency data.
However, we also need to check whether the prediction at
x=16.2
is a reasonable extrapolation.
From the scatterplot, the observed data values appear to extend to about:
x=14
The predicted value is slightly beyond the observed data range, but not extremely far beyond it.
Since x=16.2is still within a reasonable extrapolation range, and the model has a strong r^2value, the prediction is appropriate.
Therefore, the correct answer is:
# ( " C " )
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