2.4 In the graphs on the previous page, four time series are plotted along with their ACFs. Which…

2.4  In the graphs on the previous page, four time series are plotted along with their ACFs. Which ACF goes with which time series?

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2.5   Table 2-21 shows data on the performance of 14 trained female distance runners. The variables measured are the running time (minutes) in a 10 kilometer road race and the maximal aerobic power collected during the week following the run.

(a)    Calculate the mean, median, MAD, MSD, and standard deviation for each variable.

(b)    Which of these statistics give a measure of the center of data and which give a measure of the spread of data?

(c)    Calculate the correlation of the two variables and pro- duce a scatterplot of Y against X.

(d)    Why is it inappropriate to calculate the autocorrelation of these data?

 

Text Box: X 61.32 55.29 52.83 57.94 53.31 51.32 52.18 52.37 57.91 53.93 47.88 47.41 47.17 51.05 Y 39.37 39.80 40.03 41.32 42.03 42.37 43.93 44.90 44.90 45.12 45.60 46.03 47.83 48.55 Table 2-21: Running times (Y ) and maximal aerobic capacity (X) for 14 female runners. Source: Conley et al. (1981).