(a) Write the equation of the least-squares regression line. Define any variables you use. (b) Interpret the slope of the regression line in context. (e) A residual plot for the regression is shown on the next page. Is a linear model appropriate for describing the rela- tionship between temperature and distance to the ncarest fish? Justify your answer.
(a) Write the equation of the least-squares regression line. Define any variables you use. (b) Interpret the slope of the regression line in context. (e) A residual plot for the regression is shown on the next page. Is a linear model appropriate for describing the rela- tionship between temperature and distance to the ncarest fish? Justify your answer.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:AP3.33. Anuclear power plant releases water into a nearby
lake every aftermoon at 4:51 P.M. Environmental research-
ers are concerned that fish are being driven away from the
area around the plant. They believe that the temperature
of the water discharged may be a factor. The scatterplot
below shows the temperature of the water ("C) released by
the plant and the measured distance (in meters) from the
outflow pipe of the plant to the nearest fish found in the
water on eight randomly chosen afternoons.
160 -
140
120
100
20
25
35
Temperature
Computer output from a least-squares regression analys
on these data is shown below.
Predictor
Coef
SE Coef
Constant
-73.64
15.48
-4.76 0.003
Temperature 5.7188 0.5612
-10.19 0.000
S= 11.4175 R-Sq = 94.5% R-Sq(adj) = 93.6%
(a) Write the equation of the least-squares regression line.
Define any variables you use.
(b) Interpret the slope of the regression line in context.
(c) A residual plot for the regression is shown on the next
page. Is a linear model appropriate for describing the rela-
tionship between temperature and distance to the nearest
fish? Justify your answer.
g sam oj a a
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