The Regression Output Below Is the Result of Testing Whether

question 59

Essay

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 slope (rounded to the nearest hundredth)?
Does this interval support the theory that the slope is zero?
Write a statement that summarizes your answer in context. $$\begin{array} { | l | l | l | l | l | } \hline & \text { Coefficients } & \begin{array} { l } \text { Standard } \\ \text { Error } \end{array} & \text { Lower 95\% } & \text { Upper 95\% } \\ \hline \text { Intercept } & - 2.12319885 & 2.3432 & - 8.14673883 & 3.90034114 \\ \hline \text { Slope } & 1.108789625 & 0.0977 & 0.85765303 & 1.359926221 \\ \hline \end{array}$$

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