MTB > plot c2 c1 - ** country - * - * - 240+ - * * - * * * - * * - * 160+ * * - - * - * * - 80+ * - * - --------+---------+---------+---------+---------+-------- alcohol 1.6 3.2 4.8 6.4 8.0 MTB >
MTB > plot c1 c2 - 10500+ - * * * * worms - - - 7000+ - - - * * * * - 3500+ - - - - * ** 0+ * * * ------+---------+---------+---------+---------+---------+seed 4.0 6.0 8.0 10.0 12.0 14.0 MTB >
The mean is the average of all the data points divided by the number of points. For 0 nematodes:
All means are listed in the table below.
MTB > plot c1 c2 - 10500+ - * worms - - - 7000+ - - - * - 3500+ - - - - * 0+ * --------+---------+---------+---------+---------+--------mean 6.0 7.0 8.0 9.0 10.0 MTB >
MTB > plot c2 c1 - round2 - * - - * 90.0+ - * * * - * * - - * 84.0+ - - * - * - 78.0+ - - * ----+---------+---------+---------+---------+---------+--round1 80.0 85.0 90.0 95.0 100.0 105.0 MTB >
Correlation with all observations = 0.550
Correlation without observation 7 = 0.661
As you can see player 7 is not in the relatively linear pattern of bad first found followed by good second round. Without this data the scatter plot is more linear.
MTB > plot c2 vs c1 - - * * * 0.40+ - y - - - 0.00+ - - - - -0.40+ - * - - * * - --------+---------+---------+---------+---------+--------x -3.0 -1.5 0.0 1.5 3.0 MTB >
The correlation between x and y and the correlation between x* and y* both equal 0.253. This is because the correlation, r, does not depend on the scale units of x and y.
MTB > plot c2 c1 - - * 1400+ * - * y - - * - * 1050+ - * - * - - * 700+ * - * - - * - +---------+---------+---------+---------+---------+------x 0.0 2.0 4.0 6.0 8.0 10.0 MTB >
This gives y = 500 + 100(20) = 2500, so after 20 years Fred has in his mattress.
MTB > plot c2 c1 - * 48+ * - killed - * - - * 36+ - * * * - - - 24+ * * - * - * - * - * 12+ * --+---------+---------+---------+---------+---------+----boats 450 500 550 600 650 700 MTB >The plot shows a reasonably strong positive linear relationship.
Female height on male height:
Multiplying the two slopes we get r2 = 0.3196 because the standard deviations cancel each other out.
MTB > plot c2 c1 mass - * (kg) - - * 7.2+ * * * * * - - * - - * 6.0+ - * - - - * 4.8+ - - * - ------+---------+---------+---------+---------+---------+age (months) 2.0 4.0 6.0 8.0 10.0 12.0 MTB >
MTB > plot c2 c1 - 450+ - 1980 - * - - 300+ - - - - * * 150+ * - * * - * - - ** ** * 0+ * +---------+---------+---------+---------+---------+------1970 0 25 50 75 100 125 MTB >
itemb) Sea scallops can be considered an outlier, it's data point is farther away than the rest, but not that much from the pattern. The best-fit line will change a small bit when this point is removed. Lobsters can also be an outlier, but not so much as scallops.
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