Consider the quadratic regression in (8.2). Let T denote test score (measured in points) and let M
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Consider the quadratic regression in (8.2). Let T denote test score (measured in points) and let M denote income (in thousands of dollars). The estimated model given in the textbook (changing the numbers to make calculations easier), which omits units, is LaTeX: hat{T} T ^ =600+4M-0.05M2. Starting from level M=(m)($1,000)--e.g., m=8.5 means M=$8,500--the average change in T associated with an income increase of $10,000 is, measured in points: 4-0.1m 35-m 635 40-m.
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