A scientist measures the velocity of a major river at various depths. After collecting and analyzing the data, the scientist determines that the equation y = -0. 114x + 1. 658, where x represents the depth, in feet, and y represents the velocity of the river, in feet per second, can be used to model the data. The linear model has a correlation coefficient of 0. 964. Part A: Explain what the slope and intercept of the equation mean in terms of the context. Part B: Explain what the correlation coefficient indicates about the relationship between the two variables.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CT: Chapter Test
Problem 8CT
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A scientist measures the velocity of a major river at
various depths. After collecting and analyzing the data,
the scientist determines that the equation
-0. 114x + 1. 658, where
y =
x represents the depth, in feet, and
y represents the velocity of the river, in feet per second,
can be used to model the data. The linear model has a
correlation coefficient of
0. 964.
Part A:
Explain what the slope and intercept of the equation
mean in terms of the context.
Part B:
Explain what the correlation coefficient indicates about
the relationship between the two variables.
Transcribed Image Text:A scientist measures the velocity of a major river at various depths. After collecting and analyzing the data, the scientist determines that the equation -0. 114x + 1. 658, where y = x represents the depth, in feet, and y represents the velocity of the river, in feet per second, can be used to model the data. The linear model has a correlation coefficient of 0. 964. Part A: Explain what the slope and intercept of the equation mean in terms of the context. Part B: Explain what the correlation coefficient indicates about the relationship between the two variables.
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