All logs are to base 10 Time is in seconds, Money is in dollars, Evil is in laughs, Love is in Heartbeats, War is in kills, and Peace is in minutes. The regression equation is Time = 28.6 + 1.0292 Money + 5.125 Log(Evil) - 0.69 Love + 1.02 Log(War) - 1.24 Log(Peace) Predictor Constant Money Log(Evil) Love Log(War) Log(Peace) Coef 28.59 1.02920 5.12457 -0.691 1.0207 -1.2396 SE Coef 20.67 0.0839 0.05252 1.223 0.8470 0.4422 S = 32.4152 R-Sq = 64.1% T 1.38 12.27 21.41 -0.56 1.21 -2.80 P 0.301 0.006 0.001 0.629 0.351 0.042 R-Sq(adj) = 40.0% Explain the effect on Time of: Money: As money increases by 1 dollar Time increases by 1.0292 Evil: As evil increases 5% Time increases by 0.1086 5.124578*log(1.05) = 0.1086 Love: We cannot show that love affects the time War: We cannot show that war affects the time Peace: If peace goes up by 10% then time goes down by 0.05131 -1.2396*log(1.10) = -.05131 All logs are to base 10 Size is in cubic centimeters, Age is in years, Weight is in pounds, Temperature is in degrees Fahrenheit, Height is in inches, Cost is in dollars, and Distance is in miles The regression equation is Log(Size) = 28.6 + 0.0292 Age - 1.124 Weight - 1.69 log(Temperature) + 1.02 log(Height) + 2.24 log(Cost) 0.334 log(Distance) Predictor Constant Age Weight Log(temp) Log(height) Log(cost) Log(Distance) Coef 28.59 0.0292 -1.124 -1.691 1.0207 2.239 -0.334 SE Coef 20.67 0.083 0.052 0.223 0.847 0.442 0.0112 S = 64.1788 R-Sq = 86.1% T 1.38 12.27 -21.40 -7.58 1.21 5.06 -2.98 P 0.301 0.006 0.001 0.002 0.351 0.004 0.049 R-Sq(adj) = 72.1% What is the effect on Size of: Age: As age increases by one year the size increases by 7% 10^(0.0292) = 1.07 = 1+.07 Weight: As weight increases by one pound the size decreases by 92.5% 10^(-1.124) = 0.075 = 1-.925 Temperature: As temperature increases by 7% the size will decrease by 11% 10^(-1.691*log(1.07)) = 0.89 = 1 – 0.11 Height: We cannot show that height affects the size Cost: As cost increases by 5% the size increases by 11.5% 10^(2.239*log(1.05)) = 1.115 = 1+0.115 Distance: As distance increases by 25% the size will decrease by 7.2% 10^(-.334*log(1.25)) = 0.928 = 1 – 0.072