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 s_e.

Weight (tons)	Cost ($ millions)
1.897	$ 53.6
3.019	185.2
0.453	6.4
0.986	23.5
1.058	34.0
2.100	110.4
2.381	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 = () + () *x

r2 =

se =

Answer 1

from above:

y^ =-38.9012+66.4208x

2)

SST=Syy=		23,762.9171
SSE =Syy-(Sxy)2/Sxx=		2,236.838
SSR =(Sxy)2/Sxx =		21,526.0791

Coeffficient of determination R^2 =SSR/SST=

0.906

3)

	s2 =SSE/(n-2)=	447.3676
std error σ              =	=se =√s2=	21.151