When coastal power stations take in large quantities of cooling water, it is inevitable that a number of fish are drawn in with the water. Various methods have been designed to screen out the fish. A particular article examined intake fish catch at an English power plant and several other variables thought to affect fish intake. y = fish intake (number of fish) X1 = water temperature (°C) x₂ = number of pumps running = sea state (values 0, 1, 2, or 3) X3 X4 speed (knots) Part of the data given in the article were used to obtain the estimated regression equation (based on n = 26). SSRegr = 1486.4 and SSResid = 2230.3 were also calculated. y = 92 2.18x₁- 19.20x2 - 9.38x3 +2.32x4 (a) What proportion of observed variation in fish intake can be explained by the model relationship? (Round your answer to four decimal places, if needed.) R² = (b) Estimate the value of o. (Round your answer to three decimal places, if needed.) Se (c) Calculate adjusted R2. (Round your answer to four decimal places, if needed.) Adjusted R² = Adjusted R²---Select--- VR²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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When coastal power stations take in large quantities of cooling water, it is inevitable that a number of fish are drawn in with the water. Various
methods have been designed to screen out the fish. A particular article examined intake fish catch at an English power plant and several other
variables thought to affect fish intake.
y = fish intake (number of fish)
= water temperature (°C)
X1
x2
x3
X4
= number of pumps running
= sea state (values 0, 1, 2, or 3)
= speed (knots)
Part of the data given in the article were used to obtain the estimated regression equation (based on n = 26). SSRegr = 1486.4 and SSResid =
2230.3 were also calculated.
y = 92 2.18x₁-19.20x29.38x3 + 2.32x4
(a) What proportion of observed variation in fish intake can be explained by the model relationship? (Round your answer to four decimal
places, if needed.)
R² =
(b) Estimate the value of o. (Round your answer to three decimal places, if needed.)
Se
(c) Calculate adjusted R². (Round your answer to four decimal places, if needed.)
Adjusted R² =
Adjusted R2 ---Select---
R2
Transcribed Image Text:When coastal power stations take in large quantities of cooling water, it is inevitable that a number of fish are drawn in with the water. Various methods have been designed to screen out the fish. A particular article examined intake fish catch at an English power plant and several other variables thought to affect fish intake. y = fish intake (number of fish) = water temperature (°C) X1 x2 x3 X4 = number of pumps running = sea state (values 0, 1, 2, or 3) = speed (knots) Part of the data given in the article were used to obtain the estimated regression equation (based on n = 26). SSRegr = 1486.4 and SSResid = 2230.3 were also calculated. y = 92 2.18x₁-19.20x29.38x3 + 2.32x4 (a) What proportion of observed variation in fish intake can be explained by the model relationship? (Round your answer to four decimal places, if needed.) R² = (b) Estimate the value of o. (Round your answer to three decimal places, if needed.) Se (c) Calculate adjusted R². (Round your answer to four decimal places, if needed.) Adjusted R² = Adjusted R2 ---Select--- R2
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