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(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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
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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
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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