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[1] confint 5 % 95 % (Intercept) -42.0518 12.9935 hp 0.1308 0.5748 qsec 0.3159 2.7032 drat 1.3847 9.9485 hp:qsec -0.0285 -0.0089 hp:drat -0.0648 -0.0017 [1]

[1] "confint"

5 % 95 %
(Intercept) -42.0518 12.9935
hp 0.1308 0.5748
qsec 0.3159 2.7032
drat 1.3847 9.9485
hp:qsec -0.0285 -0.0089
hp:drat -0.0648 -0.0017

[1] "prediction interval"

fit lwr upr
21.5285 15.0897 27.9674

based on the above, I am trying to answer the following question.

  • Is the model significant at a 5% level of significance? Carry out the overall F-test by identifying the null hypothesis, the alternative hypothesis, the P-value, and the conclusion of the test.
  • Which terms in the model are significant at a 5% level of significance?
  • Carry out individual beta tests by identifying the null hypothesis, the alternative hypothesis, the P-value, and the conclusion of the test.

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