Ls Cherry Trees Timber yield is approximately equal to the volume of a tree volu

Question

Ls Cherry Trees Timber yield is approximately equal to the volume of a tree volume and yield. Researchers wanting to understand the nches (at 54 inches Tmelimit 3 hours 2:22:07 remaining height and diameter, may be used to predict a trees however, this vailue is difficuit to meusure without Srst ousing the tree down to understand the relationship between these variables for black cherry trees colected data from 31 such trees in the Allegheny National Forest I above groundl, and olume in cubic feet. Hand, 1994) Pennahvania Heright is measured in feet, diameter in Estimate Std. Errortvaun 13 261 0. 2 0.00 (a) Write the regression madel (please do not round coefficiene Es height + tb) Keeping dilameter constant, how much additional volume should we expect from an average tree height is increated by t fookh cubic feet Are each of the predictors neger and-diameter" spfart peddon of volume? No, since the pvalues associated with each predictor are less than a.os Only diameter is a significant predictor since it has the smailest pvalue Yes, since the p-values associated with each predictor are less than 0.0 feet tall and has a dameter of 11.3 nches?(pinase reund to the eovest cbc oo ud) How much volume is expected from a tree that measures 79 of the velume of this tree inches, and is 242 cubic feet in velume Determine whether ene mode gives an overestimate or undevestimude e) A tree in the data set measures 79 feet tall, has a diameter of 11.3 your answer as an integer or deoimal number Examples 3 4,55t72 Enter DNE for Does Not Exist, oo for Infinity MacBook Air 8 9 5 6 3 4

Explanation / Answer

a)

regression model:

E(y)=-57.99+0.34*height+4.71*diameter

b)

keeping diameter ............by 1 foot? =0.34 cubic foot

c)

yes since the p value associated with each predictor are less than 0.05

d)

expected volume=-57.99+0.34*79+4.71*11.3=~22.0

e)

underestimate

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