QUESTION 10 3 A study was performed in the 1930s on the stopping distances of ca

Question

QUESTION 10 3 A study was performed in the 1930s on the stopping distances of cars (ft) in relation to the speed (mph) of the car. The plot of the data are shown below on the left: r=0.84 r=0.81 o 120 120 100 100 80 60 80 60 40 40 20 4 20 10 15 20 25 10 15 20 25 Speed (mph) The square root of the distance was also plotted against distance. Smoothing spline lines were added to each plot to illustrate the general trend. The Pearson product-moment correlation coefficients were computed for both and shown above each plot. Why are the correlations different and higher for the square root of distance? 5

Explanation / Answer

The nonlinear transformation may change the correlation coefficient and relationship seems to be less linear for distance as compared to square root of distance.

Hence,

A & B both are correct.

Option D is correct.

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