Answered: The authors of a paper were interested…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.6: Wind And Water Current Problems

Problem 9P

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Question

The authors of a paper were interested in how the distance a deer mouse will travel for food is related to the distance from the food to the nearest pile of debris. Distances were measured in meters. The data and computer output are given below.

Distance from Debris	Distance Traveled
6.94	0.00
5.23	6.13
5.21	11.29
7.10	14.35
8.16	12.03
5.50	22.72
9.19	20.11
9.05	26.16
9.36	30.65

Simple Linear Regression Results:

Dependent Variable: Traveled

Independent Variable: Debris

Sample size: 9

R (correlation coefficient) = 0.5657

R-sq = 0.32002088

Estimate of error standard deviation 8.670711

Parameter estimates:

Parameter	Estimate	Std. Err.	Alternative	DF	T-Stat	P-Value
Intercept	-7.6854587	13.332196	≠ 0	7	-0.5764586	0.5824
Slope	3.2340908	1.7818117	≠ 0	7	1.8150575	0.1124

a)What is the least squares regression line for the output given above?

b) what is the predicted traveled distance given the distance from debris is 6.5 meters?

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