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Standardized test scores are often used as part of an application to college. Test scores in math and verbal are between 200 and 800 but
Standardized test scores are often used as part of an application to college. Test scores in math and verbal are between 200 and 800 but have no units. Verbal and math scores of a high school graduating class are displayed in the scatterplot, with the regression line added. For these data, r = 0.519. These verbal scores averaged 484, with a standard deviation of 165.2, and the math scores averaged 523.1, with a standard deviation of 153.4. Answer parts (a) through (e). Math score a) Is a linear model appropriate? Choose the correct answer below. No, the scatterplot shows evidence of outliers in the data. Yes, the scatterplot is reasonably straight and there are few, if any, outliers. Yes, the scatterplot shows that there are no lurking variables in the data. No, the relationship appears to be nonlinear. b) Write the equation of the regression line. A Math Score = D + |:|(Verbal Score) (Round to three decimal places as needed.) c) Interpret the slope of this line. Choose the correct answer below. 11;: A. For each additional point in verbal, the model predicts an increase of b points in math score. :7 B. For each additional point in verbal, the model predicts a decrease of b points in math score. C. For each additional point in math, the model predicts a decrease of b points in verbal score. 11:? D. For each additional point in math, the model predicts an increase ofb points in verbal score. d) Predict the math score of a student with a verbal score of 414. The student is expected to have a math score of D. (Round to the nearest whole number as needed.) e) Every year some student scores a perfect 1600 (combined math and verbal score). Based on this model, what would be that student's math score residual? The residual is H
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