Reference no: EM13338081
Measuring the height of a a california redwoodtree is very difficult undertaking because these trees grow toheights over 300 feet. People familar with these treesunderstand that the height f a california redwook tree is relatedto another characteristic of the tree, including the diameterof the tree at the breast height of a person and thickness of thebark of the tree. The data in file redwook represents theheight, diameter at breast height of person and bark thickness fora sample of 21 california redwood trees.
| Height |
Diameter atBreast Height |
Bark Thickness |
| 122 |
20 |
1.1 |
| 193.5 |
36 |
2.8 |
| 166.5 |
18 |
2 |
| 82 |
10 |
1.2 |
| 133.5 |
21 |
2 |
| 156 |
29 |
1.4 |
| 172.5 |
51 |
1.8 |
| 81 |
11 |
1.1 |
| 148 |
26 |
2.5 |
| 113 |
12 |
1.5 |
| 84 |
13 |
1.4 |
| 164 |
40 |
2.3 |
| 203.25 |
52 |
2 |
| 174 |
30 |
2.5 |
| 159 |
22 |
3 |
| 205 |
42 |
2.6 |
| 223.5 |
45 |
4.3 |
| 195 |
54 |
4 |
| 232.5 |
39 |
2.2 |
| 190.5 |
36 |
3.5 |
| 100 |
8 |
1.4 |
a. State the multiply regression table
b. Interpret the meaning of the slopes in thisequation.
c. Predict the height for a tree that has a breastdiameter of 25 inches and bark thickness of 2 inches.
d. Interpret the meaning of the coefficient of multiplydetermination in this problem.
e. Perform a residual analysis on the results anddetermine the adequacy of the model
f. Determine whether there is a significant relationshipbetween the height of redwood trees and two independentvariables(breast diameter and the bark thickness) at the 0.0s levelof significance.
g. Construct a 95% confidence interval estimate of thepopulation slope between the height of redwood trees and the barkthickness.
h. At the 0.05 level of significance, determine whethereach independent variable makes a significant contribution to theregression model and indicate the independent variables to includein this model.
i. Construct a 95% confidence interval estimate of themean height for trees that have a breast diameter of 25 inches andbark thickness of 2 inches along with prediction interval for anindvidual tree.
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: Measuring the height of a a california redwoodtree is very difficult undertaking because these trees grow toheights over 300 feet. People familar with these treesunderstand that the height f a california redwook tree is relatedto another characterist..
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