Assume the volume of a tree can be determined by the tree\'s height (x1) and gir

Question

Assume the volume of a tree can be determined by the tree's height (x1) and girth (x2). The output is given below.

Conclusion:                             [ Select ]                       ["Fail to reject H0", "Reject H0"]      

Interpretation:                             [ Select ]                       ["The interaction term is significant to the model.", "The interaction term is not significant to the model."]      

What is the expected change in volume of a tree with a height of 73 for each additional unit increase in girth?

                           [ Select ]                       ["4.234", "3.999", "3.562"]      

To aid you with this problem, do the following:

Plug in the height value. Combine like terms. The slope for x2 would be the expected change.

   Estimate    Std. Error t p Intercept 69.396 23.836 2.911 0.007 Height -1.297 0.31 -4.186 0.0003 Girth -5.856 1.921 -3.048 0.005 Height*Girth 0.135 0.024 5.524 0.000

Explanation / Answer

Reject H0 since p-value is less than 0.01

COnclusion- The interaction term is significant to the model."

Expected change in volume = -5.856+ 0.135*73= 3.999

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