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A San Jose State Student Collects Data from 20 Students  R-sq =0.26753742\text { R-sq }=0.26753742

question 9

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A San Jose State student collects data from 20 students. He compares the number of classes a student is enrolled in to their GPA. Here are the results of the regression analysis. The conditions for inference are satisfied.

Simple linear regression results:
Dependent Variable: GPA
Sample size: 20
 R-sq =0.26753742\text { R-sq }=0.26753742
 s: 0.45747\text { s: } 0.45747


 A San Jose State student collects data from 20 students. He compares the number of classes a student is enrolled in to their GPA. Here are the results of the regression analysis. The conditions for inference are satisfied.  Simple linear regression results: Dependent Variable: GPA Sample size: 20  \text { R-sq }=0.26753742   \text { s: } 0.45747      Simple linear regression results: Dependent Variable: GPA Sample size: 20 R-sq = 0.26753742 s: 0.45747 \begin{array}{|l|r|r|r|r|} \hline{\text { Coefficient }} & \text { Estimate } &{\text { Std. Err. }} & {\text { T-Stat }} & \text { P-Value } \\ \hline \text { Constant } & 3.4246 & 0.16580 & 20.654 & <0.0001 \\ \hline \text { No. of Classes } & -0.13940 & 0.054369 & -2.5641 & 0.0195\\\hline \end{array}   -Is there evidence of a significant relationship between number of classes and GPA? Provide statistical justification for your answer.
Simple linear regression results: Dependent Variable: GPA Sample size: 20
R-sq = 0.26753742 s: 0.45747  Coefficient  Estimate  Std. Err.  T-Stat  P-Value  Constant 3.42460.1658020.654<0.0001 No. of Classes 0.139400.0543692.56410.0195\begin{array}{|l|r|r|r|r|}\hline{\text { Coefficient }} & \text { Estimate } &{\text { Std. Err. }} & {\text { T-Stat }} & \text { P-Value } \\\hline \text { Constant } & 3.4246 & 0.16580 & 20.654 & <0.0001 \\\hline \text { No. of Classes } & -0.13940 & 0.054369 & -2.5641 & 0.0195\\\hline\end{array}

-Is there evidence of a significant relationship between number of classes and GPA? Provide statistical justification for your answer.


Definitions:

Credibility

The quality of being trusted and believed in, often acquired through consistent demonstration of one’s competence and reliability.

Power-oriented Linguistic Style

A way of communication that reflects and reinforces a speaker's authority and influence over others.

Indirect Talk

Communication that conveys a message in a roundabout manner rather than directly, often used to soften the delivery of sensitive information.

Uncertainty

The state of having limited knowledge where it is impossible to exactly describe existing states, outcomes, or predictions.

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