2Anxiety and Performance To measure the relationship between anxiety level and test performance, an educational psychologist obtains a random sample of n = 6 college students from an introductory statistics course. The students are asked to come to the Educational Research and Evaluation Laboratory (EREL) 15 minutes before the final exam. In the lab, the researcher records the physiological measures of anxiety (heart rate, skin resistance, blood pressure, and so on) for each participant. Following the final, the researcher obtained the exam score for each participant. Table 1 summarizes the data.
3Table 1 Student Anxiety Rating Exam Score A 5 80 B 2 88 C 7 D 79 E 4 86F85Mean83S.D.1.903.79
4Scatterplot B E F A C D Student Anxiety Rating Exam Score A 5 80 B 2 88C7D79E486F85BEFACD
12Coefficient of Determination - r 2xy BEFDATAStudentAnxiety RatingExam ScorePredictedScoreA58083.00B28888.34C779.44D79E48684.78F85ACD
13Coefficient of Determination - r 2xy Error between Y and `YError between Y and ^YStudentAnxiety RatingExam Score^Y(Y-`Y)(Y-`Y)2(Y- ^Y)(Y- ^Y)2A58083.00-3.009.00B28888.345.0025.00-0.340.12C779.440.560.31D79-4.0016.00-0.440.19E48684.783.001.221.49F852.004.00Mean830.0072.0015.11S.D.1.903.790.21rxy =-0.89r 2xy =0.79