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Posts: 235
3 weeks ago
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.



What is the correlation coefficient for this relationship? Interpret this result in context.
Textbook 

Stats: Modeling the World


Edition: 4th
Authors:
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wrote...
Posts: 268
3 weeks ago
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r = -0.517: There is a moderate, linear, negative association between number of courses and GPA.
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wrote...
3 weeks ago
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.



Is there evidence of a significant relationship between number of classes and GPA? Provide statistical justification for your answer.
all is normal
wrote...
3 weeks ago
H0: β = 0 There is no evidence of a linear relationship between number of classes and GPA.
HA: β ≠ 0 There is evidence of a linear relationship between number of classes and GPA.
The conditions for inference have been met.
t = -2.56; df = 18; p-value = 0.0195; α = 0.05
With a p-value of 1.95% < 5%, I reject H0. We have statistically significantly evidence that there is a linear relationship between number of classes and GPA.
wrote...
3 weeks ago
Thank you, thank you, thank you!
all is normal
wrote...
3 weeks ago
You're welcome
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