Questions: Would it be reasonable to use the least-squares regression line to predict the final grade for a student who has missed 15 class periods? Why or why not? A. No-15 missed class periods is not possible B. No- 15 missed class periods is not possible and outside the scope of the model. C. Yes-15 missed class periods is possible and within the scope of the model D. No-15 missed class periods is outside the scope of the model. E. More information regarding the student is necessary to be able to make a decision

Solution Steps

The provided data shows the relationship between the number of absences (x) and the final grade (y). The question asks whether we can use the least squares regression line to predict the final grade for a student who has missed 15 classes.

The number of absences in the data ranges from 0 to 9.

Predicting the grade for a student with 15 absences would be extrapolating beyond the given data range, as 15 is significantly outside the 0-9 range.

Final Answer: The answer is D. No—15 missed class periods is outside the scope of the model. Extrapolating so far beyond the observed data range is not reliable, as the relationship between absences and grade may not remain linear for higher numbers of absences.