How strong was the association between student scores on the Math and Verbal sections of the old SAT? Scores on this exam ranged from 200 to 800 and were widely used by college admissions offices. Here are summary statistics, regression analysis, and plots of the scores for a graduating class of 162 students at Ithaca High School, where the response variable is Math Score.

a) Is there evidence of a linear 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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Predictor Coeff SE(Coeff) t-Ratio P-Value 6.10 <0.0001 0.675 0.057 11.88 <0.0001 Intercept 209.55 34.35 Verbal 71.75 R-Sq-46.9% 800 700 600 500 400 500 600 70 800 200 100 -100 450 525 600 675 20 15 -180 -80 20 120 220