Water is being poured into a large, cone-shaped cistern. The volume of water, measured in cm³, is reported at different time intervals, measured in seconds. A regression analysis was completed and is displayed in the computer output. Regression Analysis: cuberoot (Volume) versus Time Predictor Coef SE Coef P Constant -0.006 0.00017 -35.294 0.000 Time 0.640 0.000018 35512.6 0.000 s-0.030 R-Sq=1.000 R-aq (adj)-1.000 What is the equation of the least-squares regression line? Volume = 0.640 - 0.006(Time)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 2E
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Water is being poured into a large, cone-shaped
cistern. The volume of water, measured in cm³, is
reported at different time intervals, measured in
seconds. A regression analysis was completed and
is displayed in the computer output.
Regression Analysis: cuberoot (Volume) versus Time
Predictor
Coef
SE Coef
Constant
-0.006 0.00017
-35.294
0.000
Time
0.640
0.000018
35512.6
0.000
s=0.030
R-Sq=1.000 R-sq (adj)=1.000
What is the equation of the least-squares regression
line?
Volume = 0.640 - 0.006(Time)
Volume = 0.640 - 0.006(Time)
Volume = -0.006 + 0.640(Time)
Volume = - 0.006 + 0.640(Time?)
Transcribed Image Text:Water is being poured into a large, cone-shaped cistern. The volume of water, measured in cm³, is reported at different time intervals, measured in seconds. A regression analysis was completed and is displayed in the computer output. Regression Analysis: cuberoot (Volume) versus Time Predictor Coef SE Coef Constant -0.006 0.00017 -35.294 0.000 Time 0.640 0.000018 35512.6 0.000 s=0.030 R-Sq=1.000 R-sq (adj)=1.000 What is the equation of the least-squares regression line? Volume = 0.640 - 0.006(Time) Volume = 0.640 - 0.006(Time) Volume = -0.006 + 0.640(Time) Volume = - 0.006 + 0.640(Time?)
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