Concept explainers
(a)
To test: The hypothesis that the coefficient of variable
(a)
Answer to Problem 8E
Solution: The null hypothesis that the coefficient of variable
Explanation of Solution
Given: The confidence level is provided as
Explanation:
Calculation: In a regression equation, the coefficient of
The alternative hypothesis is a two-sided alternative. Hence, it will be formulated as follows:
The total number of observations has been provided in the problem as
Since, there are 2 explanatory variables in the regression equation and the degrees of freedom for the provided problem can be calculated as follows:
The value of coefficient of
Conclusion: Since, the calculated value of
(b)
To test: The hypothesis that the coefficient of variable
(b)
Answer to Problem 8E
Solution: The null hypothesis that the coefficient of variable
Explanation of Solution
Given: The confidence level is provided as
Explanation:
Calculation: In a regression equation, the coefficient of
And the alternative hypothesis is a two-sided alternative. Hence, it will be formulated as follows:
The total number of observations has been provided in the problem as:
Since, there are 2 explanatory variables in the regression equation, the degrees of freedom for the provided problem can be calculated as follows:
The value of coefficient of
Conclusion: Since, the calculated value of
(c)
To test: The hypothesis that the coefficient of variable
(c)
Answer to Problem 8E
Solution: The null hypothesis that the coefficient of variable
Explanation of Solution
Given: The confidence level is provided as
Explanation:
Calculation: In a regression equation, the coefficient of
And the alternative hypothesis is a two-sided alternative. Hence, it will be formulated as follows:
The total number of observations has been provided in the problem as:
Since, there are 3 explanatory variables in the regression equation, the degrees of freedom for the provided problem can be calculated as follows:
The value of coefficient of
Conclusion: Since, the calculated value of
(d)
To test: The hypothesis that the coefficient of variable
(d)
Answer to Problem 8E
Solution: The null hypothesis that the coefficient of variable
Explanation of Solution
Given: The confidence level is provided as
Explanation:
Calculation: In a regression equation, the coefficient of
And the alternative hypothesis is a two-sided alternative. Hence, it will be formulated as follows:
The total number of observations has been provided in the problem as:
Since, there are 3 explanatory variables in the regression equation, the degrees of freedom for the provided problem can be calculated as follows:
The value of coefficient of
Conclusion: Since, the calculated value of
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Chapter 11 Solutions
INTRO.TO PRACTICE STATISTICS-ACCESS
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