tut1_10 - Department of Statistical and Actuarial Sciences...

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Department of Statistical and Actuarial Sciences Statistical Sciences 3859/9859 Tutorial 1 1. An important safety consideration when driving is the distance a car will continue to travel after the brakes have been applied. The cars data frame consists of observations on the speed (in mph) and stopping distance (in feet). (a) Use the summary() function to answer the following questions: i. What are the names of the columns of this data frame. ii. What is the median stopping distance? iii. What is the maximum speed? (b) Use the dim() function to determine the number of observations in the data frame. (c) What is the speed and stopping distance of the 17th car listed in the data frame? (d) Plot a histogram of the speeds. What kind of distribution would be a reasonable model for this set of data? (e) Plot a boxplot of the stopping distances. Are there any outliers? (f) Plot a histogram of the stopping distances and then a histogram of their square roots.
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