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The Regression Output Below Is the Result of Testing Whether

Question 15

Multiple Choice

The regression output below is the result of testing whether there is an association between the number of practice test problems a student completed and the number of questions answered
Correctly on the test. Assume that the conditions of the linear regression model are satisfied. What
Is the 95% confidence interval for the intercept (rounded to the nearest hundredth) ? Does this
Interval support the theory that the intercept is zero? Choose the statement that summarizes your
Answer in context.  Coefficients  Standard  Error  Lower 95%  Upper 95%  Intercept 2.123198852.34328.146738833.90034114 Slope 1.1087896250.09770.857653031.359926221\begin{array}{|l|l|l|l|l|}\hline & \text { Coefficients } & \begin{array}{l}\text { Standard } \\\text { Error }\end{array} & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -2.12319885 & 2.3432 & -8.14673883 & 3.90034114 \\\hline \text { Slope } & 1.108789625 & 0.0977 & 0.85765303 & 1.359926221 \\\hline\end{array}


A) (0.86,1.36) ( 0.86,1.36 ) . This interval does not support the theory that the intercept could be zero. In this context the intercept is greater than zero so a student could expect to get a positive score on the test even if they did none of the practice problems.
B) (8.15,3.90) ( - 8.15,3.90 ) . This interval does not support the theory that the intercept could be zero. In this context this would mean that for approximately every two practice problems completed, the student could expect to get approximately one test question correct.
C) (8.15,3.90) ( - 8.15,3.90 ) . This interval supports the theory that the intercept could be zero. In this context this would mean that a student who completed zero practice test problems could reasonably expect to get a zero on the test.
D) None of these

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