Listed below are PSAT scores and SAT scores from prospective college applicants. The scores were reported by subjects who responded to a request posted by the Web site talk.collegeconfidential.com. Is there sufficient evidence to conclude that there is a linear correlation between PSAT scores and SAT scores? Is there anything about the data that might make the results questionable?

Construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6 using α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables.

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