The following bar chart shows the average SAT math scores by parental income groups, using data from the US:

Write a multiple regression model such that the coefficients on the x- variables allow us to make inference on the difference in mean SAT scores for students with parents in the highest income group and students with parents in other income groups? Clearly define all the variables in your regression, including the y-variable. Next, also write down what the estimated equation with. Answer with two equations – model and estimated equation – and clear definitions for all the variables in your regression model.

 

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test score 700 009 500 100 457 <$20,000 475 $20,000-$40,000 Source: College Board 497 $40,000-$60,000 Math Scores 512 $60,000-$80,000 528 $80,000-$100,000 538 542 550 554 $100,000-$120,000 family income $120,000-$140,000 $140,000-$160,000 $160,000-$200,000 579 >$200,000 test score 700 009 500 100 457 <$20,000 475 $20,000-$40,000 Source: College Board 497 $40,000-$60,000 Math Scores 512 $60,000-$80,000 528 $80,000-$100,000 538 542 550 554 $100,000-$120,000 family income $120,000-$140,000 $140,000-$160,000 $160,000-$200,000 579 >$200,000

Answer rating: 100% (QA)

The regression can be defined on The dependent variable Y Average SAT math scores ... View the full answer