Question

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 3.019 184.0 0.453 6.4 0.967 23.5 1.058 34.1 2.100 110.4 2.371 104.6 *(Do not round the intermediate values. Round your answers to 4 decimal places.) **(Round the intermediate values to 4 decimal places. Round your answer to 3 decimal places.) ŷ = enter a number rounded to 4 decimal places * + enter a number rounded to 4 decimal places * x r2 = enter a number rounded to 3 decimal places ** se = enter a number rounded to 3 decimal places **

Answer 1

1)

from above: y^ =-38.1191+66.0290x

2)

SST=Syy=		23,489.2200
SSE =Syy-(Sxy)2/Sxx=	2,156.159
SSR =(Sxy)2/Sxx =	21,333.0608

Coeffficient of determination R^2 =SSR/SST=

0.908

3)

	s2 =SSE/(n-2)=	431.2318
std error σ              =	=se =√s2=	20.766