What is the equation of the least-squares regression line?
When a stone is dropped in a pond, ripples are formed
and travel in concentric circles away from where the
stone was dropped. The relationship between the time
and area of the circles was analyzed and is shown in
the computer output.
O Area = 2.004 + 0.490 log(Time)
O Time = 0.490 + 2.004 log(Area)
Regression Analysis: log (Area) versus log (Time)
Predictor Coet
SE Coef T
Р
Constant
0.490
0.00107 288.235
0.000
Log (Time) 2.004 0.00317 633.105 0.000
SH0.002
R-Sq-0.999R-Sq(adj)-0.999
O log(Area) = 2.004 + 0.490 log(Time)
O log(Area) = 0.490 + 2.004 log(Time)