Water is poured into a large, cone-shaped cistern. The volume of water, measured in $\text{cm}^3$, is reported at different time intervals, measured in seconds. A regression analysis was completed and is displayed in the computer output.
PredictorCoef SE Coef T P
Constant-0.013 0.00017 -76.471 0.000
Time$^3$0.262 0.000003 84876.8 0.000
\multicolumn{2}{|l|}{S = 0.030}R-Sq = 1.000 \multicolumn{2}{|l|}{R-Sq(adj) = 1.000}
What is the equation of the least-squares regression line?
A$\text{Volume} = 0.262 - 0.013(\text{Time}^2)$
B$\text{Volume} = -0.013 + 0.262(\text{Time}^3)$
C$\text{Volume} = -0.013 + 0.262(\text{Time})$
D$\ln(\text{Volume}) = 0.262 - 0.013(\text{Time}^3)$
Predictor | Coef | SE Coef | T | P |
Constant | -0.013 | 0.00017 | -76.471 | 0.000 |
Time$^3$ | 0.262 | 0.000003 | 84876.8 | 0.000 |
\multicolumn{2}{|l|}{S = 0.030} | R-Sq = 1.000 | \multicolumn{2}{|l|}{R-Sq(adj) = 1.000} | ||
A$\text{Volume} = 0.262 - 0.013(\text{Time}^2)$
B$\text{Volume} = -0.013 + 0.262(\text{Time}^3)$
C$\text{Volume} = -0.013 + 0.262(\text{Time})$
D$\ln(\text{Volume}) = 0.262 - 0.013(\text{Time}^3)$