In: Statistics and Probability
1. 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 |
0.996 |
23.5 |
1.058 |
33.4 |
2.100 |
110.4 |
2.382 |
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 **
2. 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 |
184.5 |
0.453 |
6.4 |
0.977 |
23.5 |
1.058 |
33.0 |
2.100 |
110.4 |
2.388 |
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 **
Coefficient of Determination(R-squared):
It gives the measure of how close the data points are to the best
fit line. In other words, it gives the proportion of variability in
dependent variable that can be explained by the independent
variable. Higher the Rsquared value, better the model is.
c)
2)
Coefficient of Determination(R-squared):
It gives the measure of how close the data points are to the best
fit line. In other words, it gives the proportion of variability in
dependent variable that can be explained by the independent
variable. Higher the Rsquared value, better the model is.
c)
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