data
y | x | x^2 | x^3 | x^4 |
540 | 0 | 0 | 0 | 0 |
390 | 50 | 2500 | 125000 | 6250000 |
390 | 100 | 10000 | 1000000 | 1E+08 |
430 | 150 | 22500 | 3375000 | 5.06E+08 |
425 | 200 | 40000 | 8000000 | 1.6E+09 |
360 | 250 | 62500 | 15625000 | 3.91E+09 |
275 | 300 | 90000 | 27000000 | 8.1E+09 |
125 | 350 | 122500 | 42875000 | 1.5E+10 |
0 | 400 | 160000 | 64000000 | 2.56E+10 |
Excel regression result
SUMMARY OUTPUT | |||||
Regression Statistics | |||||
Multiple R | 0.99883899 | ||||
R Square | 0.997679327 | ||||
Adjusted R Square | 0.995358654 | ||||
Standard Error | 11.42630351 | ||||
Observations | 9 | ||||
ANOVA | |||||
df | SS | MS | F | Significance F | |
Regression | 4 | 224516.6472 | 56129.16181 | 429.9095034 | 1.61316E-05 |
Residual | 4 | 522.2416472 | 130.5604118 | ||
Total | 8 | 225038.8889 | |||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | |
Intercept | 536.9269619 | 11.17494794 | 48.04737926 | 1.12259E-06 | 505.9003324 |
x | -4.832252007 | 0.444379711 | -10.87415084 | 0.00040595 | -6.06604788 |
x^2 | 0.049632479 | 0.00496577 | 9.994920289 | 0.00056311 | 0.03584529 |
x^3 | -0.000180378 | 1.92209E-05 | -9.384490571 | 0.000718336 | -0.000233744 |
x^4 | 1.95338E-07 | 2.38347E-08 | 8.195514646 | 0.001207603 | 1.29162E-07 |
y^ = 536.9270 -4.8323 x +0.0496 x^2 -0.000180378 *x^3 +1.95338*10^(-7) x^4
b)
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