Extracts from minitab output for 31 cherry trees

Descriptive Statistics
 Variable   Mean  Median   StDev     Min     Max      Q1     Q3
 DIAMETER  13.25   12.90    3.14   8.300   20.60   11.00  16.00
 HEIGHT    76.00   76.00    6.37   63.00   87.00   72.00  80.00
 VOLUME    30.17   24.20   16.44   10.20   77.00   19.10  38.30
 LogDiam   1.111   1.111   0.101   0.919   1.314   1.041  1.204
 LogHt     1.879   1.881   0.037   1.799   1.939   1.857  1.903
 LogVol    (( to be supplied ))

Regression of Log Volume on Log Diameter 
The regression equation is
LogVol = - 1.02 + 2.20 LogDiam

Predictor       Coef       Stdev    t-ratio        p
Constant     -1.0220      0.1002     -10.20    0.000
LogDiam      2.19997     0.08983      24.49    0.000

s = 0.04993     R-sq = 95.4%     R-sq(adj) = 95.2%

Regression of Log Volume on Log Height 
The regression equation is
LogVol = - 6.06 + 3.98 LogHt

Predictor       Coef       Stdev    t-ratio        p
Constant      -6.062       1.631      -3.72    0.001
LogHt         3.9821      0.8677       4.59    0.000

s = 0.1769      R-sq = 42.1%     R-sq(adj) = 40.1%


Regression of Log Volume on logDiameter and Log Height
The regression equation is
LogVol = - 2.88 + 1.98 LogDiam + 1.12 LogHt

Predictor       Coef       Stdev    t-ratio        p
Constant     -2.8801      0.3473      -8.29    0.000
LogDiam      1.98265     0.07501      26.43    0.000
LogHt         1.1171      0.2044       5.46    0.000

s = 0.03535     R-sq = 97.8%     R-sq(adj) = 97.6%

Analysis of Variance

SOURCE       DF          SS          MS         F        p
Regression    2     1.53214     0.76607    613.19    0.000
Error        28     0.03498     0.00125
Total        30     1.56712
Residual plot for the regression of logV on logD and logH
 RESIDUAL
         -                     x
    0.050+                            x     x
         -                    x  x                    x x
         -                                x
         -                                            x
         -    x xx             2
    0.000+                 x  x          x        xx
         -                                                     x
         -                  22                          x
         -                               x x            x
         -
   -0.050+
         -                            x
         -                        x    x
         -
         -
           --------+---------+---------+---------+---------+--------
               0.960     1.040     1.120     1.200     1.280  LogDiam

Source:  This data is supplied with MiniTab