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Question 2: (10 marks) From a sample of size 31, SAS gives the following information: Variable Estimate Standard Error Intercept -1.0208 1.3443 $X_1$ -0.6465 0.0288 $X_2$ 0.5555 0.2204 $X_3$ 0.2448 0.1156 a. (5 marks) If only one explanatory variable is to be dropped from the model, which one should be dropped? Why? b. (5 marks) Given the estimated covariance of $\beta_1$ and $\beta_3$ is 0.5. Obtain a 99% Bonferroni confidence interval of ($l_1$, $l_2$) where $l_1 = (\beta_1 + \beta_3)/2$ and $l_2 = \beta_2$.

          Question 2: (10 marks) From a sample of size 31, SAS gives the following information:
Variable	Estimate	Standard Error
Intercept	-1.0208	1.3443
$X_1$	-0.6465	0.0288
$X_2$	0.5555	0.2204
$X_3$	0.2448	0.1156
a. (5 marks) If only one explanatory variable is to be dropped from the model, which one
should be dropped? Why?
b. (5 marks) Given the estimated covariance of $\beta_1$ and $\beta_3$ is 0.5. Obtain a 99% Bonferroni
confidence interval of ($l_1$, $l_2$) where $l_1 = (\beta_1 + \beta_3)/2$ and $l_2 = \beta_2$.

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Question 2: (10 marks) From a sample of size 31, SAS gives the following information:
Variable Estimate Standard Error
Intercept -1.0208 1.3443
X1 -0.6465 0.0288
X2 0.5555 0.2204
X3 0.2448 0.1156
a. (5 marks) If only one explanatory variable is to be dropped from the model, which one
should be dropped? Why?
b. (5 marks) Given the estimated covariance of β1 and β3 is 0.5. Obtain a 99% Bonferroni
confidence interval of (l1, l2) where l1 = (β1 + β3)/2 and l2 = β2.

Added by Jennifer M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Eduard Sanchez

Step 1

To determine which explanatory variable should be dropped from the model, we can look at the p-values associated with each variable. The p-value measures the strength of evidence against the null hypothesis that the coefficient for the variable is zero. To Show more…

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From a sample of size 31, SAS gives the following information: Variable Estimate Standard Error Intercept -1.0208 1.3443 Xi 0.6465 0.0288 X2 0.5555 0.2204 X3 0.2448 0.1156 a. If only one explanatory variable is to be dropped from the model, which one should be dropped? Why? b. Given the estimated covariance of and is 0.5, obtain a 99% Bonferroni confidence interval of where = +3/2 and 2 = 3.

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