{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# 420Hw08 - STAT 420(10 points(due Friday October 26 by 3:00...

This preview shows pages 1–2. Sign up to view the full content.

STAT 420 Fall 2007 Homework #8 (10 points) (due Friday, October 26, by 3:00 p.m.) 1. A forester seeking information on basic tree dimensions obtains the following measurements of the diameters 4.5 feet above the ground and the heights of 12 sugar maple trees. The forester wishes to determine if the diameter measurements can be used to predict the tree height. Diameter x (inches) 0.9 1.2 2.9 3.1 3.3 3.9 4.3 6.2 9.6 12.6 16.1 25.8 Height y (feet) 18 26 32 36 44.5 35.6 40.5 57.5 67.3 84 67 87.5 a) Make a scatterplot of x vs. y . Does a straight-line relationship seem appropriate? b) Make a scatterplot of x ' = ln x vs. y ' = ln y . Does a straight-line relationship seem appropriate? c) Fit a straight-line regression to the transformed data. Add the least-squares regression line to the scatterplot from part(b). Comment on the adequacy of the fit. d) Construct a 95% prediction interval for the height of the tree y with the diameter x = 10 inches. Hint: Construct a 95% prediction interval for ln y first.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

420Hw08 - STAT 420(10 points(due Friday October 26 by 3:00...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online