At the bottom of this assignment are data from a group of 20 adolescents (ages 14-18) who use cannabis daily in various forms, including dabs and oils. For each participant, the THC levels in their cannabis was measured in a laboratory. They were then tested on three standardized psychological measures: (1) a test of short-term memory performance, (2) a survey measuring their state of anxiety, and (3) a measure of their paranoia symptoms. The table contains the participants' scores on these measures, higher scores indicating better memory performance, greater state anxiety, and greater paranoia. In Lab #1 we used the following formula to calculate the correlation coefficient:

The Formula: r = III/ I(II) We broke this formula into three terms: I= N (Sum X2) - (Sum X)2 II= N (Sum Y2) - (Sum Y)2 III= N (Sum of XY) - Sum X (Sum Y)

Begin the fourth paragraph with these sentences: "Data were collected from a group of 20 adolescents (ages 14-18) who use cannabis daily to test the hypothesis using the correlational method. Each group completed three standardized psychological measures: (1) a short-term memory performance test, (2) a survey measuring their state of anxiety, and (3) a measure of their paranoia symptoms." State your predictions about the pattern of correlations among THC potency and the three measures if the hypothesis under investigation is correct. (7 pts) Figure 1 below presents a scatterplot of the variables THC and anxiety. What is a scatterplot? What does Figure 1 depict as the relationship between THC and anxiety in this study? (4 pts) Use the formula to compute the correlation coefficient between THC and each of the three psychological measures. Also, compute the correlation coefficient between memory and anxiety (N.B. That's 4 correlation coefficients in total). For each coefficient, state the computed value of each of the four terms of the formula (i.e., r, I, II, and III). (6 pts)

Data on 20 Teenage Participants Completing Memory, Paranoia and Anxiety Tests and Levels of THC in Their Daily Cannabis. Participant THC Memory Paranoia JK Anxiety 25.6 55 25 68 AN 18.48 42 18 68 OR 77.2 50 77 31 CC 2.88 88 6 94 DZ 90.83 45 88 12 SF 29.15 67 24 70 LE 34.8 77 35 65 CN 54.63 42 50 46 MI 10.48 91 25 85 QT 12.24 85 12 90 ZP 49.52 52 66 62 ER 70.85 12 71 12 OP 81.52 11 83 15 TY 67.12 33 60 33 DO 39.17 58 22 65 RE 65.2 36 21 30 MI 15.37 82 36 88 FA 3.3 98 2 98 SO 34.4 74 45 70 LA 87.76 21 71 12