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 $184.1

0.453 $6.4

0.996 $23.5

1.058 $33.7

2.100 $110.4

2.400 $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

(The values of ŷ are obtained using (*) as -

example: For xi= 1.897, ŷi=-38.6896 +(66.0175*1.897)

=86.5483 (approx)  

Then, ei=53.6-86.5483=-32.9483 (approx) )