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 quadratic term is significant to the model.", "The quadratic term is not significant to the model."]      

Estimate Std. Error t    p Intercept -9.92 10.079 -0.984 0.334 Height 0.376 0.088 4.266 0.0002 Girth -2.885 1.31 -2.203 0.036 Girth^2 0.269 0.046 5.852 0.000

Explanation / Answer

Solution-

Here we have to test the significance of the quadratic term Girth^2.

Hypotheses would be -

H0: Term is not significant

and Ha: Term is significant

P-value for the given test in the table is 0

As this is less than 0.05 so we reject the null hypothesis at 5% level of significance.

hence quadratic term is significant.

Answer

TY!

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