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Coefficient of determination

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Reference no: EM131843540

1.Test H0: β2 = 1 vs. H1: β2 >1 if the following information from a simple regression is given: b2 = 1.39, sb2= 0.18, and n = 30.

  •  A. Reject H0 for α = 0.005
  •  B. Reject H0 for α = 0.025
  •  C. Reject H0 for α = 0.01
  •  D. Unable to reject H0 for α < 0.05

2. If the coefficient of determination equals 0.63 in a linear regression, then

 A. the regression explained 63% of the variation in the dependent variable.

  •  B. the regression did not explain 63% of the variation in the dependent variable.
  •  C. 63% of the variation in the regressor was explained by the regression model.
  •  D. a 1% increase in the the explanatory variable will cause a 63% increase in the dependent variable.

3. Develop a 99% confidence interval for the population slope β2 if the following regression information are given: b2= 23.5, se(b2)=5.488, and n = 25. Note that se(b2) = the standard error of the estimated slope coefficient b2.

Reference no: EM131843540

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