Bookmarks People Window Help My Pitt Home Take Test: Homework 11-218 × courseweb

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Bookmarks People Window Help My Pitt Home Take Test: Homework 11-218 × courseweb.pitt.edu/webapps/assessment/take/launch.jsp?course ass essment id- 139134 1&course; id 413655 aestion Completion Status: A study was performed in the 1930s on the stopping distances of cars (#h in relation to the speed (mph) of the car. The plot of the data are shown below on the left: r0.54 r0.81 o120 120- 6 10 100 80 60 100 80 60 40 20 3 10 22 Speed (mph) 5 10 1 20 25 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- for both and shown above each plot. Why are the correlations different and higher for the square root of moment correlation coefficients were computed a. Nonlinear transformation will change the magnitude of the correlation. bThe relationship is less linear for distance than for the square root of dstance. c. Pearson product-moment correlation onty measures the amount of linear association. Click Save and Submit to save and submit. Click Save All Anspers to save all answers Save Al Answers Save and Sub 4

Explanation / Answer

The correct answer is (E) since

non linear transformation definitely changes the value of correlation, also the measure of correlation only measures the linear relationship and the square root transformation is more good fit.

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