Q1: Descriptive statistics
The table below presents the descriptive (summary) statistics for the 10 variables under study.
The statistics presented include the mean, median, quartiles (1st and 3rd quartiles), minimum,
maximum, range, skewness, kurtosis and standard error.
> describe(Assignment2)
vars n mean sd median 1st Qu. 3rd Qu. min max range skew kurtosis se
X 1 250 125.50 72.31 125.50 63.25 187.75 1.00 250.00 249.00 0.00 -1.21 4.57
y1 2 250 612.57 277.57 589.00 374.5 818.2 118.00 1254.00 1136.00 0.15 -0.97 17.56
y2 3 250 10.00 2.25 9.41 8.389 11.12 6.00 16.14 10.13 0.84 -0.04 0.14
y3 4 250 57.97 28.63 59.00 35.00 79.00 1.00 116.00 115.00 -0.01 -1.02 1.81
y4 5 250 519.37 106.69 515.64 422.80 614.8 317.77 701.12 383.35 -0.04 -1.50 6.75
y5 6 250 809.56 146.92 802.00 683.80 932.8 552.00 1097.00 545.00 0.08 -1.13 9.29
x1 7 250 51.49 26.93 50.00 29.00 73.75 2.00 100.00 98.00 0.04 -1.12 1.70
x2 8 250 4.78 3.27 5.00 2.00 8.00 0.00 10.00 10.00 0.17 -1.23 0.21
x3 9 250 52.38 27.88 54.00 32.25 76.00 1.00 100.00 99.00 -0.13 -1.09 1.76
x4 10 250 99.92 21.35 102.99 79.81 119.05 58.94 138.73 79.79 -0.04 -1.57 1.35
x5 11 250 73.25 14.69 73.00 59.25 85.00 50.00 100.00 50.00 0.11 -1.16 0.93
The following figures are the histograms with the normal curves for the variables y1,
y2, y3, y4 and y5.

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