Question

People in the aerospace industry believe the cost of a space project is a function of...

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

0.986

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 =

Homework Answers

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
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