Running times (Y) and maximal aerobic capacity (X) for 14 female Runners. Data collected for running times...

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Running times (Y) and maximal aerobic capacity (X) for 14female
Runners. Data collected for running times and maximal aerobiccapacity are listed below
X: 61.32 55.29 52.83 57.94 53.31 51.32 52.18 52.37 57.91 53.9347.88 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 45.1245.60 46.03Â Â Â Â Â 47.83 48.55
(a) Calculate the mean, median, MAD, MSD, and standard deviationfor each variable. ? [Include all your steps and explain all thesteps involved in details]
(b) Which of these statistics give a measure of the center of dataand which give a measure of the spread of data?
(c) Calculate the correlation of the two variables and pro-duce ascatterplot of Y against X. [Use excel for scatterplot, show allyour computations concerning the correlation and explain all yoursteps]
(d) Why is it inappropriate to calculate the autocorrelation ofthese data?

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4.4 Ratings (602 Votes)

a For XMean xi n i 1 2 n xis are the values of X n totalnumber of valuesMean 6132 5529 5105 14 5299357Median is the middlemost value when the values are arranged inincreasing order The values in increasing order are 4717 47414788 5105 5132 5218 5237 5283 5331 5393 55295791 5794 6132 Here there are 14 values ie an even numberof values so there is no See Answer

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