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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Definitions:

Social Loafing

A tendency to exert less effort when performing as part of a collective or group than when performing as an individual.

Exert Less Effort

The phenomenon where individuals decrease the amount of effort they put into tasks, typically seen in situations involving group work or diminished personal accountability.

Shared Goals

Objectives or aims that are mutually agreed upon and pursued by individuals within a group or team.

Dominant Response

The most common or likely response that an individual exhibits under conditions of stress or high arousal.