METODI MATEMATICI E STATISTICI a.a. 2000/2001 - anno di corso I
lezione n.5
Effettuare una regressione lineare dei seguenti dati :
X Y
1 3
2 4
4 4
7 6
5 6
11 21
Descriptive Statistics: X, Y
Variable N Mean Median TrMean StDev SE Mean X 6 5.00 4.50 5.00 3.63 1.48 Y 6 7.33 5.00 7.33 6.80 2.78 Variable Minimum Maximum Q1 Q3
X 1.00 11.00 1.75 8.00 Y 3.00 21.00 3.75 9.75
Regression Analysis: Y versus X
The regression equation is Y = - 1.00 + 1.67 X
Predictor Coef SE Coef T P Constant -1.000 2.558 -0.39 0.716 X 1.6667 0.4264 3.91 0.017 S = 3.464 R-Sq = 79.3% R-Sq(adj) = 74.1%
Analysis of Variance
Source DF SS MS F P Regression 1 183.33 183.33 15.28 0.017 Residual Error 4 48.00 12.00
Total 5 231.33
Obs X Y Fit SE Fit Residual St Resid 1 1.0 3.00 0.67 2.22 2.33 0.88 2 2.0 4.00 2.33 1.91 1.67 0.58 3 4.0 4.00 5.67 1.48 -1.67 -0.53 4 7.0 6.00 10.67 1.65 -4.67 -1.53 5 5.0 6.00 7.33 1.41 -1.33 -0.42 6 11.0 21.00 17.33 2.92 3.67 1.97
10 5
0 20
10
0
X
Y
S = 3.46410 R-Sq = 79.3 % R-Sq(adj) = 74.1 % Y = -1 + 1.66667 X
