In: Statistics and Probability
People in the aerospace industry believe the cost of a space project is a function of the mass of the major object being sent into space. Use the following data to develop a regression model to predict the cost of a space project by the mass of the space object. Determine r2 and se.
Weight (tons) Cost ($ millions)
1.897 $ 53.6
3.019 $185.2
0.453 $6.4
0.960 $23.5
1.058 $33.5
2.100 $110.4
2.392 $104.6
ŷ = ________ + __________ x
r2 = _______________
se = ___________________
Regression Equation Calculation
ŷ = -38.2998 + 66.1082x
Coefficient of Determination (r2) Calculation
r2 = SSRegression/SSTotal = 21554.8984/23803.0886
r2 = 0.9056
Standard Error Calculation
se = 21.2047