Find the mean and standard deviation of the times and icicle lengths for the dat

Question

Find the mean and standard deviation of the times and icicle lengths for the data on run 8903 in data data49.dat. Find the correlation between the two variables. Use these five numbers to find the equation of the regression line for predicting length from time. Use the same five numbers to find the equation of the regression line for predicting the time an icicle has been growing from its length. (Round your answers to three decimal places.)

+  time

times x = times s = lengths x = lengths s = r = time = +  length length =

+  time

Explanation / Answer

r = 0.9876

time = 11.58 + 5.42 * length

Length = -1.70 + 0.179 * time

time(Y) length(X) (Y - Ybar) (X - Xbar) (Y-Ybar)*(X-Xbar) (Y - Ybar)2 (X -Xbar)2 Ypred (Y - Ypred)2 10 1.7 -85 -13.7 1163.1 7225.0 187.2 20.8 116.6 20 3.7 -75 -11.7 876.3 5625.0 136.5 31.6 135.5 30 3.5 -65 -11.9 772.4 4225.0 141.2 30.6 0.3 40 5.8 -55 -9.6 527.1 3025.0 91.8 43.0 9.2 50 8 -45 -7.4 332.3 2025.0 54.5 55.0 24.6 60 9.7 -35 -5.7 198.9 1225.0 32.3 64.2 17.5 70 8 -25 -7.4 184.6 625.0 54.5 55.0 226.2 80 10.5 -15 -4.9 73.3 225.0 23.8 68.5 131.8 90 14.9 -5 -0.5 2.4 25.0 0.2 92.4 5.7 100 13.8 5 -1.6 -7.9 25.0 2.5 86.4 184.6 110 16.9 15 1.5 22.8 225.0 2.3 103.2 45.9 120 20.9 25 5.5 137.9 625.0 30.4 124.9 24.2 130 20.2 35 4.8 168.6 1225.0 23.2 121.1 78.8 140 23.4 45 8.0 360.8 2025.0 64.3 138.5 2.3 150 27 55 11.6 638.9 3025.0 134.9 158.0 63.9 160 27.2 65 11.8 768.1 4225.0 139.6 159.1 0.8 170 28.7 75 13.3 998.8 5625.0 177.3 167.2 7.8 180 33 85 17.6 1497.4 7225.0 310.3 190.5 111.0

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