(See Solution) In a random sample of eight military contracts involving cost overruns, the following information was obtained. x = big price of the contract (in
Question:
In a random sample of eight military contracts involving cost overruns, the following information was obtained. x = big price of the contract (in millions of dollars) and y = cost of overrun (expressed as a percent of the bid price).
| x | 6 | 10 | 3 | 5 | 9 | 18 | 16 | 21 |
| y | 31 | 25 | 39 | 35 | 29 | 12 | 17 | 8 |
- Draw the scatter diagram for this data.
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Find the slope, b, and the intercept, a, for the least-squares line. Write the equation of the least-squares line.
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 42.99013 0.888167 48.40321 5.21E-09 40.81686 45.1634 x -1.68092 0.070436 -23.8644 3.56E-07 -1.85327 -1.50857
This means that the least squares equation is given by:
\[y=42.99-1.681x\] - Graph the least-squares line on your scatter diagram.
d) If an overrun contract was bid at 12 million dollars, what does the least-squares line predict for the cost of overrun (as a percent of bid price)?
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