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The scatterplot and regression line on the left depict the relation between a state's expenditure per student and the average SAT scores for students in the state.The scatterplot and regression line on the right depict the relation between students' SAT Verbal and SAT Quantitative scores.
Figure: Standard Error Comparisons
-(Figure: Standard Error Comparisons) For which prediction is the standard error of the estimate greater?
A) state expenditure per student from composite SAT scores
B) composite SAT scores from the state's expenditure per student
C) SAT Quantitative scores from SAT Verbal scores
D) SAT Verbal scores from SAT Quantitative scores

Question

Use the following to answer questions 
The scatterplot and regression line on the left depict the relation between a state's expenditure per student and the average SAT scores for students in the state.The scatterplot and regression line on the right depict the relation between students' SAT Verbal and SAT Quantitative scores.
Figure: Standard Error Comparisons  
-(Figure: Standard Error Comparisons) For which prediction is the standard error of the estimate greater?
A) state expenditure per student from composite SAT scores 
B) composite SAT scores from the state's expenditure per student 
C) SAT Quantitative scores from SAT Verbal scores 
D) SAT Verbal scores from SAT Quantitative scores

Quizplus · Accepted Answer

In the scatterplot and regression line on the left, there seems to be more variability in the data and a weaker linear relationship between state expenditure per student and composite SAT scores, which results in a larger standard error of the estimate. Therefore, the prediction of composite SAT scores from state expenditure per student has a greater standard error of the estimate than the prediction of state expenditure per student from composite SAT scores.

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