Education research consistently shows that students from wealthier families tend to have higher
SAT scores. The slope of the line that predicts SAT score from family income is 6.25 points per $1000,
And the correlation between the variables is 0.48. Then the slope of the line that predicts family
Income from SAT score (in $1000 per point) …
A) is 3.00
B) is 6.25
C) is 13.02
D) is 0.037
E) is 0.16

Question

Quizplus · Accepted Answer

The slope of the line predicting family income from SAT score is the inverse of the slope predicting SAT score from family income, adjusted by the correlation. The formula is: slope = (correlation * standard deviation of income) / standard deviation of SAT score. Given the slope of 6.25 and correlation of 0.48, the inverse slope is approximately 0.037.

Education Research Consistently Shows That Students from Wealthier Families Tend