The article Cost-Effectiveness in Public Education (Chance

Chapter 0, Problem 5.45

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The article Cost-Effectiveness in Public Education (Chance [1995]: 3841) reported that for a regression of y average SAT score on x expenditure per pupil, based on data from n 44 New Jersey school districts, a 766, b 0.015, r2 .160, and se 53.7. a. One observation in the sample was (9900, 893). What average SAT score would you predict for this district, and what is the corresponding residual? b. Interpret the value of se. c. How effectively do you think the least-squares line summarizes the relationship between x and y? Explain your reasoning.

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