Use the multiple linear regression model output below to answer the following questions (note “_cons” refers to the intercept term in the model): Calculate the coefficient of determination, R 2 ....

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  1. Use the multiple linear regression model output below to answer the following questions (note “_cons” refers to the intercept term in the model):



  1. Calculate the coefficient of determination, R2.

  2. Calculate the df for Residual.

  3. Calculate the value of MS Residual (mean squared error).

  4. Calculate the standard error for the regression error term,
    S.

  5. Calculate the overall
    F-test statistic.

  6. Is it possible to reject the null hypothesis that all regression coefficients are 0?

  7. Calculate the value of the
    t-test statistic for
    weight.

  8. What is the meaning of the estimated coefficient for
    weight    ?

  9. Is it possible to reject the null hypothesis that the coefficient for
    foreign
    is equal to 0 ata-level=0.05?

  10. Are there any insignificant variables ata- level=0.05?




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Use the multiple linear regression model output below to answer the following questions (note “_cons” refers to the intercept term in the model): Calculate the coefficient of determination, R2. Calculate the df for Residual. Calculate the value of MS Residual (mean squared error). Calculate the standard error for the regression error term, S. Calculate the overall F-test statistic. Is it possible to reject the null hypothesis that all regression coefficients are 0? Calculate the value of the t-test statistic for weight. What is the meaning of the estimated coefficient for weight? Is it possible to reject the null hypothesis that the coefficient for foreign is equal to 0 at a-level=0.05? Are there any insignificant variables at a- level=0.05?



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Answered Same DayDec 27, 2021

Answer To: Use the multiple linear regression model output below to answer the following questions (note...

Robert answered on Dec 27 2021
116 Votes
1. Use the multiple linear regression model output below to answer the following
questions (note “_cons” refers to the intercept term in the model):


(a) Calculate the coefficient of determination, R2.
R2 = SS(Model) / SS(Total) = 348708940/635065396 = 0.5491
(b) Calculate the df for Residual.
df(residual ) = df(total) - df (Model) = 69
(c) Calculate the value of MS Residual (mean squared error).
MS(residual) = SS (residual) / df(residual) = 286356456/69 = 4150093.57
(d) Calculate the standard error for the regression error term, S.
S = sqrt(MS(residual)) = sqrt(4150093.57) = 2037.18
(e) Calculate the overall F-test statistic.
F = (SS(model)/df( model) ) / ( SS(residual) / df(residual) ) = (348708940/4)/(...
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