How strong was the association between student scores on the Math and Verbal sections of the old SAT? Scores on each ranged from 200 to 800 and were widely used by college admissions offices. Here are summaries and plots of the scores for a graduating class at Ithaca High School:

Dependent variable is Math
R-squared = 46.9%
s = 71.75 with 162 - 2 = 160 df

a) Is there evidence of an association between Math and Verbal scores? Write an appropriate hypothesis.
b) Discuss the assumptions for inference.
c) Test your hypothesis and state an appropriate conclusion.

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Variable Count Mean Median StdDev Range IntQRange Verbal 162 596.296 610 99.5199 490 140 Math 162 612.099 630 98.1343 440 150 Variable Coefficient SE(Coeff) t-Ratio P-Value Intercept 209.554 3435 6.10 s0.0001 Verbal 0.675 0.0568 11.9 0.0001 800+ 700+ 500 400 500 600 700 800 Verbal 200 100 -100 450 525 600 675 Predicted 20 15 -180 -80 20 120 220 Residuals