Scatterplot, Least Squares Regression & Score Prediction
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The following table shows SAT scores (on the old SAT with only two sections) for a sample of
students.
Math 550 510 300 490 600 570 710 500 570 520 590 470
Verbal 560 490 720 500 590 550 410 510 580 520 490 480
a. Give the equation of the least squares regression equation.
b. Make a scatterplot, and graph the LSRL on the same graph.
c. Use your regression equation to predict the verbal score for a student whose math score is 620.
d. Use your equation to predict the math score for a student whose verbal score is 770.
e. Show how the residual for the first student is calculated.
f. Is it reasonable to assume that the math scores are normally distributed? Justify your answer.
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Solution Summary
Excel spreadsheet to show how to construct a scatterplot from data on math scores, and extract a regression equation from that which will aid in making predictions.
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