The radius of the crown (in meters) and the diameter atbreast height (in centime

Question

The radius of the crown (in meters) and the diameter atbreast height (in centimeters) were measured for ten Sitka Sprucetrees.
                        dbh(cm)                  Crownradius (m)                               X                                    Y                               5.0                                   0.91                               12.7                                 1.83                               7.6                                    1.22                               17.8                                 1.83                               5.1                                    1.22                               15.2                                   2.44                               10.2                                    1.70                                  22.9                                    2.74                               20.3                                    2.65                               10.1                                    1.52 a) measure the observations to check if the linearrelationship is reasonable. b) fit a linear regression if Yi =b0 + b1Xi . c) test if the linear regression is significant. d) compute the correlation coefficient and the coefficient ofdetermination and discuss their meaning. e) calculate SEE andexplain its meaning. f) calculate 95% and 99% confidence limits for the slope andintercept. Discuss you results. g) calculate average crown radius for all 17.0 cm trees with95% confidence limits and discuss your results. h) is your ave radius calculated for 16.0 cm treessignificantly grater than 1.5 meters ( = 0.05)? i) is your intercept significantly greater than zero? Use = 0.05. The radius of the crown (in meters) and the diameter atbreast height (in centimeters) were measured for ten Sitka Sprucetrees.
                        dbh(cm)                  Crownradius (m)                               X                                    Y                               5.0                                   0.91                               12.7                                 1.83                               7.6                                    1.22                               17.8                                 1.83                               5.1                                    1.22                               15.2                                   2.44                               10.2                                    1.70                                  22.9                                    2.74                               20.3                                    2.65                               10.1                                    1.52 a) measure the observations to check if the linearrelationship is reasonable. b) fit a linear regression if Yi =b0 + b1Xi . c) test if the linear regression is significant. d) compute the correlation coefficient and the coefficient ofdetermination and discuss their meaning. e) calculate SEE andexplain its meaning. f) calculate 95% and 99% confidence limits for the slope andintercept. Discuss you results. g) calculate average crown radius for all 17.0 cm trees with95% confidence limits and discuss your results. h) is your ave radius calculated for 16.0 cm treessignificantly grater than 1.5 meters ( = 0.05)? i) is your intercept significantly greater than zero? Use = 0.05. f) calculate 95% and 99% confidence limits for the slope andintercept. Discuss you results. g) calculate average crown radius for all 17.0 cm trees with95% confidence limits and discuss your results. h) is your ave radius calculated for 16.0 cm treessignificantly grater than 1.5 meters ( = 0.05)? i) is your intercept significantly greater than zero? Use = 0.05.

Explanation / Answer

Regression Analysis: Yversus X

Predictor     Coef SECoef     T      P
Constant    0.6100   0.1795 3.40 0.009
X             0.09425 0.01282 7.35 0.000

S = 0.239901   R-Sq =87.1%   R-Sq(adj) = 85.5%

Analysis of Variance

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