Linear Regression Analysis of SAT & PSAT scores

Listed below (and in the available Excel Data Set file) are the PSAT and SAT scores from prospective college applicants. The scores were reported by subjects who responded to a request posted by the web site talk.collegconfidential.com.

PSAT 183 207 167 206 197 142 193 176
SAT 2200 2040 1890 2380 2290 2070 2370 1980

a) What is the regression equation that predicts the SAT scores given the PSAT scores as input?

b) One student not included in the table above had a PSAT score of 229. What is the best predicted SAT score for this student?

c) Is the result close to the student's actual score of 2400?

d) Are these valid results? Why or why not?

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