Question: 7. Three data sets are collected, and the correlation coefcient is computed in each case. Fill in your best guess of each correlation coefcient in

7. Three data sets are collected, and the correlation coefcient is computed in each case. Fill in your best guess of each correlation coefcient in the blanks below, from the following possible values of r: -0.2 0 0.3 0.6 0.98 Each value can be used at most once; you will have two values left over. (a) cumulative GPA after freshman year and cumulative GPA after sophomore year: r = (b) cumulative GPA after freshman year and cumulative GPA after senior year: r = (c) volume and weight of some pieces of aluminum, measured in a laboratory: r: 8. An ecologist is studying the ower Iris versicolor. She measures the width and length of 100 petals of this ower from a large collection of specimens and obtains the following data. Width: AVG = 1.2 cm, SD = 0.2 cm Length: AVG = 4.4 cm, SD = 0.5 cm r=035 (a) What is the 90\"1 percentile of the widths, assuming that the histogram approximately follows the normal curve? (b) Suppose the ecologist converts centimeters to inches, by dividing all the observations by 2.54. Put a check mark in front of everything that changes. _ the average width _ the SD of the lengths _ the value of r _ the 60\"1 percentile of the widths _ the percentile rank of petal with width 1.5 cm
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