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In: Statistics and Probability

Conduct a 95% hypothesis test for your slope coefficient (a t-test). Interpret, in words and with...

  1. Conduct a 95% hypothesis test for your slope coefficient (a t-test). Interpret, in words and with numerical evidence, the conclusion of that hypothesis test.
  2. Conduct a 95% hypothesis test for your model (a F-test). Interpret, in words and with numerical evidence, the conclusion of this hypothesis test.
    CO2 (ppm) Population (billions)
    335.40 4.29
    336.84 4.36
    338.75 4.44
    340.11 4.52
    341.45 4.60
    343.05 4.68
    344.65 4.77
    346.12 4.85
    347.42 4.94
    349.19 5.03
    351.57 5.13
    353.12 5.22
    354.39 5.31
    355.61 5.40
    356.45 5.49
    357.10 5.57
    358.83 5.65
    360.82 5.74
    362.61 5.82
    363.73 5.89
    366.70 5.97
    368.38 6.05
    369.55 6.13
    371.14 6.20
    373.28 6.28
    375.80 6.36
    377.52 6.44
    379.80 6.52
    381.90 6.60
    383.79 6.68
    385.60 6.76
    387.43 6.85
    389.90 6.93
    391.65 7.01
    393.85 7.10
    396.52 7.18
    398.65 7.27
    400.83 7.35

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SUMMARY OUTPUT Regression Statistics Multiple R 0.727076179 R Square 0.528639771 Adjusted R Square 0.525504337 Standard Error 3.573206748 Observations 455 ANOVA df SS MS F Significance F Regression 3 6458.025113 2152.67504 168.601791 2.7119E-73 Residual 451 5758.280717 12.7678065 Total 454 12216.30583 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 99.0% Upper 99.0% Intercept -0.250148858 0.359211364 -0.6963835 0.48654745 -0.9560846 0.45578693 -1.1793476 0.67904987 RBUK 0.025079378 0.023812698 1.05319345 0.29281626 -0.0217182 0.07187699 -0.0365187 0.08667745 RSUS 0.713727515 0.042328316 16.8617037 8.0578E-50 0.6305423 0.79691273 0.60423372 0.82322131...
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