Question
In a study examining the relationship between the amount of time students spend on extracurricular activities per week and their overall GPA, researchers have developed
In a study examining the relationship between the amount of time students spend on extracurricular activities per week and their overall GPA, researchers have developed a linear regression model. The study aims to predict a student's GPA based on the hours they dedicate to extracurricular activities. A particular student spends 15 hours per week on such activities.
The regression analysis has provided the following information:
Predicted GPA for a student who spends 15 hours on extracurricular activities: 3.5 The critical value (tcritical) for a 95% confidence interval, based on the degrees of freedom associated with the study's sample size, is 2.048. The standard error for the prediction, SE() is 0.3.
Using the information provided, calculate the lower and upper bounds of the 95% prediction interval for the GPA of a student who spends 15 hours per week on extracurricular activities.
Answer in the format (lower, upper). Round your answers to four decimal places as needed.
95% prediction interval =
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